Problem:


Score : 500 points

Problem Statement

Consider sequences \{A_1,...,A_N\} of length N consisting of integers between 1 and K (inclusive).

There are K^N such sequences. Find the sum of \gcd(A_1, ..., A_N) over all of them.

Since this sum can be enormous, print the value modulo (10^9+7).

Here \gcd(A_1, ..., A_N) denotes the greatest common divisor of A_1, ..., A_N.

Constraints

2 \leq N \leq 10^5

1 \leq K \leq 10^5

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N K

Output

Print the sum of \gcd(A_1, ..., A_N) over all K^N sequences, modulo (10^9+7).

Sample Input 1

3 2

Sample Output 1

9

\gcd(1,1,1)+\gcd(1,1,2)+\gcd(1,2,1)+\gcd(1,2,2)
+\gcd(2,1,1)+\gcd(2,1,2)+\gcd(2,2,1)+\gcd(2,2,2)
=1+1+1+1+1+1+1+2=9

Thus, the answer is 9.

Sample Input 2

3 200

Sample Output 2

10813692

Sample Input 3

100000 100000

Sample Output 3

742202979

Be sure to print the sum modulo (10^9+7).



Sample input:
3 2


Sample output:
9

Submission status: Wrong Answer

Solution code:
#素数
primes=[2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597,1601,1607,1609,1613,1619,1621,1627,1637,1657,1663,1667,1669,1693,1697,1699,1709,1721,1723,1733,1741,1747,1753,1759,1777,1783,1787,1789,1801,1811,1823,1831,1847,1861,1867,1871,1873,1877,1879,1889,1901,1907,1913,1931,1933,1949,1951,1973,1979,1987,1993,1997,1999,2003,2011,2017,2027,2029,2039,2053,2063,2069,2081,2083,2087,2089,2099,2111,2113,2129,2131,2137,2141,2143,2153,2161,2179,2203,2207,2213,2221,2237,2239,2243,2251,2267,2269,2273,2281,2287,2293,2297,2309,2311,2333,2339,2341,2347,2351,2357,2371,2377,2381,2383,2389,2393,2399,2411,2417,2423,2437,2441,2447,2459,2467,2473,2477,2503,2521,2531,2539,2543,2549,2551,2557,2579,2591,2593,2609,2617,2621,2633,2647,2657,2659,2663,2671,2677,2683,2687,2689,2693,2699,2707,2711,2713,2719,2729,2731,2741,2749,2753,2767,2777,2789,2791,2797,2801,2803,2819,2833,2837,2843,2851,2857,2861,2879,2887,2897,2903,2909,2917,2927,2939,2953,2957,2963,2969,2971,2999,3001,3011,3019,3023,3037,3041,3049,3061,3067,3079,3083,3089,3109,3119,3121,3137,3163,3167,3169,3181,3187,3191,3203,3209,3217,3221,3229,3251,3253,3257,3259,3271,3299,3301,3307,3313,3319,3323,3329,3331,3343,3347,3359,3361,3371,3373,3389,3391,3407,3413,3433,3449,3457,3461,3463,3467,3469,3491,3499,3511,3517,3527,3529,3533,3539,3541,3547,3557,3559,3571,3581,3583,3593,3607,3613,3617,3623,3631,3637,3643,3659,3671,3673,3677,3691,3697,3701,3709,3719,3727,3733,3739,3761,3767,3769,3779,3793,3797,3803,3821,3823,3833,3847,3851,3853,3863,3877,3881,3889,3907,3911,3917,3919,3923,3929,3931,3943,3947,3967,3989,4001,4003,4007,4013,4019,4021,4027,4049,4051,4057,4073,4079,4091,4093,4099,4111,4127,4129,4133,4139,4153,4157,4159,4177,4201,4211,4217,4219,4229,4231,4241,4243,4253,4259,4261,4271,4273,4283,4289,4297,4327,4337,4339,4349,4357,4363,4373,4391,4397,4409,4421,4423,4441,4447,4451,4457,4463,4481,4483,4493,4507,4513,4517,4519,4523,4547,4549,4561,4567,4583,4591,4597,4603,4621,4637,4639,4643,4649,4651,4657,4663,4673,4679,4691,4703,4721,4723,4729,4733,4751,4759,4783,4787,4789,4793,4799,4801,4813,4817,4831,4861,4871,4877,4889,4903,4909,4919,4931,4933,4937,4943,4951,4957,4967,4969,4973,4987,4993,4999,5003,5009,5011,5021,5023,5039,5051,5059,5077,5081,5087,5099,5101,5107,5113,5119,5147,5153,5167,5171,5179,5189,5197,5209,5227,5231,5233,5237,5261,5273,5279,5281,5297,5303,5309,5323,5333,5347,5351,5381,5387,5393,5399,5407,5413,5417,5419,5431,5437,5441,5443,5449,5471,5477,5479,5483,5501,5503,5507,5519,5521,5527,5531,5557,5563,5569,5573,5581,5591,5623,5639,5641,5647,5651,5653,5657,5659,5669,5683,5689,5693,5701,5711,5717,5737,5741,5743,5749,5779,5783,5791,5801,5807,5813,5821,5827,5839,5843,5849,5851,5857,5861,5867,5869,5879,5881,5897,5903,5923,5927,5939,5953,5981,5987,6007,6011,6029,6037,6043,6047,6053,6067,6073,6079,6089,6091,6101,6113,6121,6131,6133,6143,6151,6163,6173,6197,6199,6203,6211,6217,6221,6229,6247,6257,6263,6269,6271,6277,6287,6299,6301,6311,6317,6323,6329,6337,6343,6353,6359,6361,6367,6373,6379,6389,6397,6421,6427,6449,6451,6469,6473,6481,6491,6521,6529,6547,6551,6553,6563,6569,6571,6577,6581,6599,6607,6619,6637,6653,6659,6661,6673,6679,6689,6691,6701,6703,6709,6719,6733,6737,6761,6763,6779,6781,6791,6793,6803,6823,6827,6829,6833,6841,6857,6863,6869,6871,6883,6899,6907,6911,6917,6947,6949,6959,6961,6967,6971,6977,6983,6991,6997,7001,7013,7019,7027,7039,7043,7057,7069,7079,7103,7109,7121,7127,7129,7151,7159,7177,7187,7193,7207,7211,7213,7219,7229,7237,7243,7247,7253,7283,7297,7307,7309,7321,7331,7333,7349,7351,7369,7393,7411,7417,7433,7451,7457,7459,7477,7481,7487,7489,7499,7507,7517,7523,7529,7537,7541,7547,7549,7559,7561,7573,7577,7583,7589,7591,7603,7607,7621,7639,7643,7649,7669,7673,7681,7687,7691,7699,7703,7717,7723,7727,7741,7753,7757,7759,7789,7793,7817,7823,7829,7841,7853,7867,7873,7877,7879,7883,7901,7907,7919,7927,7933,7937,7949,7951,7963,7993,8009,8011,8017,8039,8053,8059,8069,8081,8087,8089,8093,8101,8111,8117,8123,8147,8161,8167,8171,8179,8191,8209,8219,8221,8231,8233,8237,8243,8263,8269,8273,8287,8291,8293,8297,8311,8317,8329,8353,8363,8369,8377,8387,8389,8419,8423,8429,8431,8443,8447,8461,8467,8501,8513,8521,8527,8537,8539,8543,8563,8573,8581,8597,8599,8609,8623,8627,8629,8641,8647,8663,8669,8677,8681,8689,8693,8699,8707,8713,8719,8731,8737,8741,8747,8753,8761,8779,8783,8803,8807,8819,8821,8831,8837,8839,8849,8861,8863,8867,8887,8893,8923,8929,8933,8941,8951,8963,8969,8971,8999,9001,9007,9011,9013,9029,9041,9043,9049,9059,9067,9091,9103,9109,9127,9133,9137,9151,9157,9161,9173,9181,9187,9199,9203,9209,9221,9227,9239,9241,9257,9277,9281,9283,9293,9311,9319,9323,9337,9341,9343,9349,9371,9377,9391,9397,9403,9413,9419,9421,9431,9433,9437,9439,9461,9463,9467,9473,9479,9491,9497,9511,9521,9533,9539,9547,9551,9587,9601,9613,9619,9623,9629,9631,9643,9649,9661,9677,9679,9689,9697,9719,9721,9733,9739,9743,9749,9767,9769,9781,9787,9791,9803,9811,9817,9829,9833,9839,9851,9857,9859,9871,9883,9887,9901,9907,9923,9929,9931,9941,9949,9967,9973,10007,10009,10037,10039,10061,10067,10069,10079,10091,10093,10099,10103,10111,10133,10139,10141,10151,10159,10163,10169,10177,10181,10193,10211,10223,10243,10247,10253,10259,10267,10271,10273,10289,10301,10303,10313,10321,10331,10333,10337,10343,10357,10369,10391,10399,10427,10429,10433,10453,10457,10459,10463,10477,10487,10499,10501,10513,10529,10531,10559,10567,10589,10597,10601,10607,10613,10627,10631,10639,10651,10657,10663,10667,10687,10691,10709,10711,10723,10729,10733,10739,10753,10771,10781,10789,10799,10831,10837,10847,10853,10859,10861,10867,10883,10889,10891,10903,10909,10937,10939,10949,10957,10973,10979,10987,10993,11003,11027,11047,11057,11059,11069,11071,11083,11087,11093,11113,11117,11119,11131,11149,11159,11161,11171,11173,11177,11197,11213,11239,11243,11251,11257,11261,11273,11279,11287,11299,11311,11317,11321,11329,11351,11353,11369,11383,11393,11399,11411,11423,11437,11443,11447,11467,11471,11483,11489,11491,11497,11503,11519,11527,11549,11551,11579,11587,11593,11597,11617,11621,11633,11657,11677,11681,11689,11699,11701,11717,11719,11731,11743,11777,11779,11783,11789,11801,11807,11813,11821,11827,11831,11833,11839,11863,11867,11887,11897,11903,11909,11923,11927,11933,11939,11941,11953,11959,11969,11971,11981,11987,12007,12011,12037,12041,12043,12049,12071,12073,12097,12101,12107,12109,12113,12119,12143,12149,12157,12161,12163,12197,12203,12211,12227,12239,12241,12251,12253,12263,12269,12277,12281,12289,12301,12323,12329,12343,12347,12373,12377,12379,12391,12401,12409,12413,12421,12433,12437,12451,12457,12473,12479,12487,12491,12497,12503,12511,12517,12527,12539,12541,12547,12553,12569,12577,12583,12589,12601,12611,12613,12619,12637,12641,12647,12653,12659,12671,12689,12697,12703,12713,12721,12739,12743,12757,12763,12781,12791,12799,12809,12821,12823,12829,12841,12853,12889,12893,12899,12907,12911,12917,12919,12923,12941,12953,12959,12967,12973,12979,12983,13001,13003,13007,13009,13033,13037,13043,13049,13063,13093,13099,13103,13109,13121,13127,13147,13151,13159,13163,13171,13177,13183,13187,13217,13219,13229,13241,13249,13259,13267,13291,13297,13309,13313,13327,13331,13337,13339,13367,13381,13397,13399,13411,13417,13421,13441,13451,13457,13463,13469,13477,13487,13499,13513,13523,13537,13553,13567,13577,13591,13597,13613,13619,13627,13633,13649,13669,13679,13681,13687,13691,13693,13697,13709,13711,13721,13723,13729,13751,13757,13759,13763,13781,13789,13799,13807,13829,13831,13841,13859,13873,13877,13879,13883,13901,13903,13907,13913,13921,13931,13933,13963,13967,13997,13999,14009,14011,14029,14033,14051,14057,14071,14081,14083,14087,14107,14143,14149,14153,14159,14173,14177,14197,14207,14221,14243,14249,14251,14281,14293,14303,14321,14323,14327,14341,14347,14369,14387,14389,14401,14407,14411,14419,14423,14431,14437,14447,14449,14461,14479,14489,14503,14519,14533,14537,14543,14549,14551,14557,14561,14563,14591,14593,14621,14627,14629,14633,14639,14653,14657,14669,14683,14699,14713,14717,14723,14731,14737,14741,14747,14753,14759,14767,14771,14779,14783,14797,14813,14821,14827,14831,14843,14851,14867,14869,14879,14887,14891,14897,14923,14929,14939,14947,14951,14957,14969,14983,15013,15017,15031,15053,15061,15073,15077,15083,15091,15101,15107,15121,15131,15137,15139,15149,15161,15173,15187,15193,15199,15217,15227,15233,15241,15259,15263,15269,15271,15277,15287,15289,15299,15307,15313,15319,15329,15331,15349,15359,15361,15373,15377,15383,15391,15401,15413,15427,15439,15443,15451,15461,15467,15473,15493,15497,15511,15527,15541,15551,15559,15569,15581,15583,15601,15607,15619,15629,15641,15643,15647,15649,15661,15667,15671,15679,15683,15727,15731,15733,15737,15739,15749,15761,15767,15773,15787,15791,15797,15803,15809,15817,15823,15859,15877,15881,15887,15889,15901,15907,15913,15919,15923,15937,15959,15971,15973,15991,16001,16007,16033,16057,16061,16063,16067,16069,16073,16087,16091,16097,16103,16111,16127,16139,16141,16183,16187,16189,16193,16217,16223,16229,16231,16249,16253,16267,16273,16301,16319,16333,16339,16349,16361,16363,16369,16381,16411,16417,16421,16427,16433,16447,16451,16453,16477,16481,16487,16493,16519,16529,16547,16553,16561,16567,16573,16603,16607,16619,16631,16633,16649,16651,16657,16661,16673,16691,16693,16699,16703,16729,16741,16747,16759,16763,16787,16811,16823,16829,16831,16843,16871,16879,16883,16889,16901,16903,16921,16927,16931,16937,16943,16963,16979,16981,16987,16993,17011,17021,17027,17029,17033,17041,17047,17053,17077,17093,17099,17107,17117,17123,17137,17159,17167,17183,17189,17191,17203,17207,17209,17231,17239,17257,17291,17293,17299,17317,17321,17327,17333,17341,17351,17359,17377,17383,17387,17389,17393,17401,17417,17419,17431,17443,17449,17467,17471,17477,17483,17489,17491,17497,17509,17519,17539,17551,17569,17573,17579,17581,17597,17599,17609,17623,17627,17657,17659,17669,17681,17683,17707,17713,17729,17737,17747,17749,17761,17783,17789,17791,17807,17827,17837,17839,17851,17863,17881,17891,17903,17909,17911,17921,17923,17929,17939,17957,17959,17971,17977,17981,17987,17989,18013,18041,18043,18047,18049,18059,18061,18077,18089,18097,18119,18121,18127,18131,18133,18143,18149,18169,18181,18191,18199,18211,18217,18223,18229,18233,18251,18253,18257,18269,18287,18289,18301,18307,18311,18313,18329,18341,18353,18367,18371,18379,18397,18401,18413,18427,18433,18439,18443,18451,18457,18461,18481,18493,18503,18517,18521,18523,18539,18541,18553,18583,18587,18593,18617,18637,18661,18671,18679,18691,18701,18713,18719,18731,18743,18749,18757,18773,18787,18793,18797,18803,18839,18859,18869,18899,18911,18913,18917,18919,18947,18959,18973,18979,19001,19009,19013,19031,19037,19051,19069,19073,19079,19081,19087,19121,19139,19141,19157,19163,19181,19183,19207,19211,19213,19219,19231,19237,19249,19259,19267,19273,19289,19301,19309,19319,19333,19373,19379,19381,19387,19391,19403,19417,19421,19423,19427,19429,19433,19441,19447,19457,19463,19469,19471,19477,19483,19489,19501,19507,19531,19541,19543,19553,19559,19571,19577,19583,19597,19603,19609,19661,19681,19687,19697,19699,19709,19717,19727,19739,19751,19753,19759,19763,19777,19793,19801,19813,19819,19841,19843,19853,19861,19867,19889,19891,19913,19919,19927,19937,19949,19961,19963,19973,19979,19991,19993,19997,20011,20021,20023,20029,20047,20051,20063,20071,20089,20101,20107,20113,20117,20123,20129,20143,20147,20149,20161,20173,20177,20183,20201,20219,20231,20233,20249,20261,20269,20287,20297,20323,20327,20333,20341,20347,20353,20357,20359,20369,20389,20393,20399,20407,20411,20431,20441,20443,20477,20479,20483,20507,20509,20521,20533,20543,20549,20551,20563,20593,20599,20611,20627,20639,20641,20663,20681,20693,20707,20717,20719,20731,20743,20747,20749,20753,20759,20771,20773,20789,20807,20809,20849,20857,20873,20879,20887,20897,20899,20903,20921,20929,20939,20947,20959,20963,20981,20983,21001,21011,21013,21017,21019,21023,21031,21059,21061,21067,21089,21101,21107,21121,21139,21143,21149,21157,21163,21169,21179,21187,21191,21193,21211,21221,21227,21247,21269,21277,21283,21313,21317,21319,21323,21341,21347,21377,21379,21383,21391,21397,21401,21407,21419,21433,21467,21481,21487,21491,21493,21499,21503,21517,21521,21523,21529,21557,21559,21563,21569,21577,21587,21589,21599,21601,21611,21613,21617,21647,21649,21661,21673,21683,21701,21713,21727,21737,21739,21751,21757,21767,21773,21787,21799,21803,21817,21821,21839,21841,21851,21859,21863,21871,21881,21893,21911,21929,21937,21943,21961,21977,21991,21997,22003,22013,22027,22031,22037,22039,22051,22063,22067,22073,22079,22091,22093,22109,22111,22123,22129,22133,22147,22153,22157,22159,22171,22189,22193,22229,22247,22259,22271,22273,22277,22279,22283,22291,22303,22307,22343,22349,22367,22369,22381,22391,22397,22409,22433,22441,22447,22453,22469,22481,22483,22501,22511,22531,22541,22543,22549,22567,22571,22573,22613,22619,22621,22637,22639,22643,22651,22669,22679,22691,22697,22699,22709,22717,22721,22727,22739,22741,22751,22769,22777,22783,22787,22807,22811,22817,22853,22859,22861,22871,22877,22901,22907,22921,22937,22943,22961,22963,22973,22993,23003,23011,23017,23021,23027,23029,23039,23041,23053,23057,23059,23063,23071,23081,23087,23099,23117,23131,23143,23159,23167,23173,23189,23197,23201,23203,23209,23227,23251,23269,23279,23291,23293,23297,23311,23321,23327,23333,23339,23357,23369,23371,23399,23417,23431,23447,23459,23473,23497,23509,23531,23537,23539,23549,23557,23561,23563,23567,23581,23593,23599,23603,23609,23623,23627,23629,23633,23663,23669,23671,23677,23687,23689,23719,23741,23743,23747,23753,23761,23767,23773,23789,23801,23813,23819,23827,23831,23833,23857,23869,23873,23879,23887,23893,23899,23909,23911,23917,23929,23957,23971,23977,23981,23993,24001,24007,24019,24023,24029,24043,24049,24061,24071,24077,24083,24091,24097,24103,24107,24109,24113,24121,24133,24137,24151,24169,24179,24181,24197,24203,24223,24229,24239,24247,24251,24281,24317,24329,24337,24359,24371,24373,24379,24391,24407,24413,24419,24421,24439,24443,24469,24473,24481,24499,24509,24517,24527,24533,24547,24551,24571,24593,24611,24623,24631,24659,24671,24677,24683,24691,24697,24709,24733,24749,24763,24767,24781,24793,24799,24809,24821,24841,24847,24851,24859,24877,24889,24907,24917,24919,24923,24943,24953,24967,24971,24977,24979,24989,25013,25031,25033,25037,25057,25073,25087,25097,25111,25117,25121,25127,25147,25153,25163,25169,25171,25183,25189,25219,25229,25237,25243,25247,25253,25261,25301,25303,25307,25309,25321,25339,25343,25349,25357,25367,25373,25391,25409,25411,25423,25439,25447,25453,25457,25463,25469,25471,25523,25537,25541,25561,25577,25579,25583,25589,25601,25603,25609,25621,25633,25639,25643,25657,25667,25673,25679,25693,25703,25717,25733,25741,25747,25759,25763,25771,25793,25799,25801,25819,25841,25847,25849,25867,25873,25889,25903,25913,25919,25931,25933,25939,25943,25951,25969,25981,25997,25999,26003,26017,26021,26029,26041,26053,26083,26099,26107,26111,26113,26119,26141,26153,26161,26171,26177,26183,26189,26203,26209,26227,26237,26249,26251,26261,26263,26267,26293,26297,26309,26317,26321,26339,26347,26357,26371,26387,26393,26399,26407,26417,26423,26431,26437,26449,26459,26479,26489,26497,26501,26513,26539,26557,26561,26573,26591,26597,26627,26633,26641,26647,26669,26681,26683,26687,26693,26699,26701,26711,26713,26717,26723,26729,26731,26737,26759,26777,26783,26801,26813,26821,26833,26839,26849,26861,26863,26879,26881,26891,26893,26903,26921,26927,26947,26951,26953,26959,26981,26987,26993,27011,27017,27031,27043,27059,27061,27067,27073,27077,27091,27103,27107,27109,27127,27143,27179,27191,27197,27211,27239,27241,27253,27259,27271,27277,27281,27283,27299,27329,27337,27361,27367,27397,27407,27409,27427,27431,27437,27449,27457,27479,27481,27487,27509,27527,27529,27539,27541,27551,27581,27583,27611,27617,27631,27647,27653,27673,27689,27691,27697,27701,27733,27737,27739,27743,27749,27751,27763,27767,27773,27779,27791,27793,27799,27803,27809,27817,27823,27827,27847,27851,27883,27893,27901,27917,27919,27941,27943,27947,27953,27961,27967,27983,27997,28001,28019,28027,28031,28051,28057,28069,28081,28087,28097,28099,28109,28111,28123,28151,28163,28181,28183,28201,28211,28219,28229,28277,28279,28283,28289,28297,28307,28309,28319,28349,28351,28387,28393,28403,28409,28411,28429,28433,28439,28447,28463,28477,28493,28499,28513,28517,28537,28541,28547,28549,28559,28571,28573,28579,28591,28597,28603,28607,28619,28621,28627,28631,28643,28649,28657,28661,28663,28669,28687,28697,28703,28711,28723,28729,28751,28753,28759,28771,28789,28793,28807,28813,28817,28837,28843,28859,28867,28871,28879,28901,28909,28921,28927,28933,28949,28961,28979,29009,29017,29021,29023,29027,29033,29059,29063,29077,29101,29123,29129,29131,29137,29147,29153,29167,29173,29179,29191,29201,29207,29209,29221,29231,29243,29251,29269,29287,29297,29303,29311,29327,29333,29339,29347,29363,29383,29387,29389,29399,29401,29411,29423,29429,29437,29443,29453,29473,29483,29501,29527,29531,29537,29567,29569,29573,29581,29587,29599,29611,29629,29633,29641,29663,29669,29671,29683,29717,29723,29741,29753,29759,29761,29789,29803,29819,29833,29837,29851,29863,29867,29873,29879,29881,29917,29921,29927,29947,29959,29983,29989,30011,30013,30029,30047,30059,30071,30089,30091,30097,30103,30109,30113,30119,30133,30137,30139,30161,30169,30181,30187,30197,30203,30211,30223,30241,30253,30259,30269,30271,30293,30307,30313,30319,30323,30341,30347,30367,30389,30391,30403,30427,30431,30449,30467,30469,30491,30493,30497,30509,30517,30529,30539,30553,30557,30559,30577,30593,30631,30637,30643,30649,30661,30671,30677,30689,30697,30703,30707,30713,30727,30757,30763,30773,30781,30803,30809,30817,30829,30839,30841,30851,30853,30859,30869,30871,30881,30893,30911,30931,30937,30941,30949,30971,30977,30983,31013,31019,31033,31039,31051,31063,31069,31079,31081,31091,31121,31123,31139,31147,31151,31153,31159,31177,31181,31183,31189,31193,31219,31223,31231,31237,31247,31249,31253,31259,31267,31271,31277,31307,31319,31321,31327,31333,31337,31357,31379,31387,31391,31393,31397,31469,31477,31481,31489,31511,31513,31517,31531,31541,31543,31547,31567,31573,31583,31601,31607,31627,31643,31649,31657,31663,31667,31687,31699,31721,31723,31727,31729,31741,31751,31769,31771,31793,31799,31817,31847,31849,31859,31873,31883,31891,31907,31957,31963,31973,31981,31991,32003,32009,32027,32029,32051,32057,32059,32063,32069,32077,32083,32089,32099,32117,32119,32141,32143,32159,32173,32183,32189,32191,32203,32213,32233,32237,32251,32257,32261,32297,32299,32303,32309,32321,32323,32327,32341,32353,32359,32363,32369,32371,32377,32381,32401,32411,32413,32423,32429,32441,32443,32467,32479,32491,32497,32503,32507,32531,32533,32537,32561,32563,32569,32573,32579,32587,32603,32609,32611,32621,32633,32647,32653,32687,32693,32707,32713,32717,32719,32749,32771,32779,32783,32789,32797,32801,32803,32831,32833,32839,32843,32869,32887,32909,32911,32917,32933,32939,32941,32957,32969,32971,32983,32987,32993,32999,33013,33023,33029,33037,33049,33053,33071,33073,33083,33091,33107,33113,33119,33149,33151,33161,33179,33181,33191,33199,33203,33211,33223,33247,33287,33289,33301,33311,33317,33329,33331,33343,33347,33349,33353,33359,33377,33391,33403,33409,33413,33427,33457,33461,33469,33479,33487,33493,33503,33521,33529,33533,33547,33563,33569,33577,33581,33587,33589,33599,33601,33613,33617,33619,33623,33629,33637,33641,33647,33679,33703,33713,33721,33739,33749,33751,33757,33767,33769,33773,33791,33797,33809,33811,33827,33829,33851,33857,33863,33871,33889,33893,33911,33923,33931,33937,33941,33961,33967,33997,34019,34031,34033,34039,34057,34061,34123,34127,34129,34141,34147,34157,34159,34171,34183,34211,34213,34217,34231,34253,34259,34261,34267,34273,34283,34297,34301,34303,34313,34319,34327,34337,34351,34361,34367,34369,34381,34403,34421,34429,34439,34457,34469,34471,34483,34487,34499,34501,34511,34513,34519,34537,34543,34549,34583,34589,34591,34603,34607,34613,34631,34649,34651,34667,34673,34679,34687,34693,34703,34721,34729,34739,34747,34757,34759,34763,34781,34807,34819,34841,34843,34847,34849,34871,34877,34883,34897,34913,34919,34939,34949,34961,34963,34981,35023,35027,35051,35053,35059,35069,35081,35083,35089,35099,35107,35111,35117,35129,35141,35149,35153,35159,35171,35201,35221,35227,35251,35257,35267,35279,35281,35291,35311,35317,35323,35327,35339,35353,35363,35381,35393,35401,35407,35419,35423,35437,35447,35449,35461,35491,35507,35509,35521,35527,35531,35533,35537,35543,35569,35573,35591,35593,35597,35603,35617,35671,35677,35729,35731,35747,35753,35759,35771,35797,35801,35803,35809,35831,35837,35839,35851,35863,35869,35879,35897,35899,35911,35923,35933,35951,35963,35969,35977,35983,35993,35999,36007,36011,36013,36017,36037,36061,36067,36073,36083,36097,36107,36109,36131,36137,36151,36161,36187,36191,36209,36217,36229,36241,36251,36263,36269,36277,36293,36299,36307,36313,36319,36341,36343,36353,36373,36383,36389,36433,36451,36457,36467,36469,36473,36479,36493,36497,36523,36527,36529,36541,36551,36559,36563,36571,36583,36587,36599,36607,36629,36637,36643,36653,36671,36677,36683,36691,36697,36709,36713,36721,36739,36749,36761,36767,36779,36781,36787,36791,36793,36809,36821,36833,36847,36857,36871,36877,36887,36899,36901,36913,36919,36923,36929,36931,36943,36947,36973,36979,36997,37003,37013,37019,37021,37039,37049,37057,37061,37087,37097,37117,37123,37139,37159,37171,37181,37189,37199,37201,37217,37223,37243,37253,37273,37277,37307,37309,37313,37321,37337,37339,37357,37361,37363,37369,37379,37397,37409,37423,37441,37447,37463,37483,37489,37493,37501,37507,37511,37517,37529,37537,37547,37549,37561,37567,37571,37573,37579,37589,37591,37607,37619,37633,37643,37649,37657,37663,37691,37693,37699,37717,37747,37781,37783,37799,37811,37813,37831,37847,37853,37861,37871,37879,37889,37897,37907,37951,37957,37963,37967,37987,37991,37993,37997,38011,38039,38047,38053,38069,38083,38113,38119,38149,38153,38167,38177,38183,38189,38197,38201,38219,38231,38237,38239,38261,38273,38281,38287,38299,38303,38317,38321,38327,38329,38333,38351,38371,38377,38393,38431,38447,38449,38453,38459,38461,38501,38543,38557,38561,38567,38569,38593,38603,38609,38611,38629,38639,38651,38653,38669,38671,38677,38693,38699,38707,38711,38713,38723,38729,38737,38747,38749,38767,38783,38791,38803,38821,38833,38839,38851,38861,38867,38873,38891,38903,38917,38921,38923,38933,38953,38959,38971,38977,38993,39019,39023,39041,39043,39047,39079,39089,39097,39103,39107,39113,39119,39133,39139,39157,39161,39163,39181,39191,39199,39209,39217,39227,39229,39233,39239,39241,39251,39293,39301,39313,39317,39323,39341,39343,39359,39367,39371,39373,39383,39397,39409,39419,39439,39443,39451,39461,39499,39503,39509,39511,39521,39541,39551,39563,39569,39581,39607,39619,39623,39631,39659,39667,39671,39679,39703,39709,39719,39727,39733,39749,39761,39769,39779,39791,39799,39821,39827,39829,39839,39841,39847,39857,39863,39869,39877,39883,39887,39901,39929,39937,39953,39971,39979,39983,39989,40009,40013,40031,40037,40039,40063,40087,40093,40099,40111,40123,40127,40129,40151,40153,40163,40169,40177,40189,40193,40213,40231,40237,40241,40253,40277,40283,40289,40343,40351,40357,40361,40387,40423,40427,40429,40433,40459,40471,40483,40487,40493,40499,40507,40519,40529,40531,40543,40559,40577,40583,40591,40597,40609,40627,40637,40639,40693,40697,40699,40709,40739,40751,40759,40763,40771,40787,40801,40813,40819,40823,40829,40841,40847,40849,40853,40867,40879,40883,40897,40903,40927,40933,40939,40949,40961,40973,40993,41011,41017,41023,41039,41047,41051,41057,41077,41081,41113,41117,41131,41141,41143,41149,41161,41177,41179,41183,41189,41201,41203,41213,41221,41227,41231,41233,41243,41257,41263,41269,41281,41299,41333,41341,41351,41357,41381,41387,41389,41399,41411,41413,41443,41453,41467,41479,41491,41507,41513,41519,41521,41539,41543,41549,41579,41593,41597,41603,41609,41611,41617,41621,41627,41641,41647,41651,41659,41669,41681,41687,41719,41729,41737,41759,41761,41771,41777,41801,41809,41813,41843,41849,41851,41863,41879,41887,41893,41897,41903,41911,41927,41941,41947,41953,41957,41959,41969,41981,41983,41999,42013,42017,42019,42023,42043,42061,42071,42073,42083,42089,42101,42131,42139,42157,42169,42179,42181,42187,42193,42197,42209,42221,42223,42227,42239,42257,42281,42283,42293,42299,42307,42323,42331,42337,42349,42359,42373,42379,42391,42397,42403,42407,42409,42433,42437,42443,42451,42457,42461,42463,42467,42473,42487,42491,42499,42509,42533,42557,42569,42571,42577,42589,42611,42641,42643,42649,42667,42677,42683,42689,42697,42701,42703,42709,42719,42727,42737,42743,42751,42767,42773,42787,42793,42797,42821,42829,42839,42841,42853,42859,42863,42899,42901,42923,42929,42937,42943,42953,42961,42967,42979,42989,43003,43013,43019,43037,43049,43051,43063,43067,43093,43103,43117,43133,43151,43159,43177,43189,43201,43207,43223,43237,43261,43271,43283,43291,43313,43319,43321,43331,43391,43397,43399,43403,43411,43427,43441,43451,43457,43481,43487,43499,43517,43541,43543,43573,43577,43579,43591,43597,43607,43609,43613,43627,43633,43649,43651,43661,43669,43691,43711,43717,43721,43753,43759,43777,43781,43783,43787,43789,43793,43801,43853,43867,43889,43891,43913,43933,43943,43951,43961,43963,43969,43973,43987,43991,43997,44017,44021,44027,44029,44041,44053,44059,44071,44087,44089,44101,44111,44119,44123,44129,44131,44159,44171,44179,44189,44201,44203,44207,44221,44249,44257,44263,44267,44269,44273,44279,44281,44293,44351,44357,44371,44381,44383,44389,44417,44449,44453,44483,44491,44497,44501,44507,44519,44531,44533,44537,44543,44549,44563,44579,44587,44617,44621,44623,44633,44641,44647,44651,44657,44683,44687,44699,44701,44711,44729,44741,44753,44771,44773,44777,44789,44797,44809,44819,44839,44843,44851,44867,44879,44887,44893,44909,44917,44927,44939,44953,44959,44963,44971,44983,44987,45007,45013,45053,45061,45077,45083,45119,45121,45127,45131,45137,45139,45161,45179,45181,45191,45197,45233,45247,45259,45263,45281,45289,45293,45307,45317,45319,45329,45337,45341,45343,45361,45377,45389,45403,45413,45427,45433,45439,45481,45491,45497,45503,45523,45533,45541,45553,45557,45569,45587,45589,45599,45613,45631,45641,45659,45667,45673,45677,45691,45697,45707,45737,45751,45757,45763,45767,45779,45817,45821,45823,45827,45833,45841,45853,45863,45869,45887,45893,45943,45949,45953,45959,45971,45979,45989,46021,46027,46049,46051,46061,46073,46091,46093,46099,46103,46133,46141,46147,46153,46171,46181,46183,46187,46199,46219,46229,46237,46261,46271,46273,46279,46301,46307,46309,46327,46337,46349,46351,46381,46399,46411,46439,46441,46447,46451,46457,46471,46477,46489,46499,46507,46511,46523,46549,46559,46567,46573,46589,46591,46601,46619,46633,46639,46643,46649,46663,46679,46681,46687,46691,46703,46723,46727,46747,46751,46757,46769,46771,46807,46811,46817,46819,46829,46831,46853,46861,46867,46877,46889,46901,46919,46933,46957,46993,46997,47017,47041,47051,47057,47059,47087,47093,47111,47119,47123,47129,47137,47143,47147,47149,47161,47189,47207,47221,47237,47251,47269,47279,47287,47293,47297,47303,47309,47317,47339,47351,47353,47363,47381,47387,47389,47407,47417,47419,47431,47441,47459,47491,47497,47501,47507,47513,47521,47527,47533,47543,47563,47569,47581,47591,47599,47609,47623,47629,47639,47653,47657,47659,47681,47699,47701,47711,47713,47717,47737,47741,47743,47777,47779,47791,47797,47807,47809,47819,47837,47843,47857,47869,47881,47903,47911,47917,47933,47939,47947,47951,47963,47969,47977,47981,48017,48023,48029,48049,48073,48079,48091,48109,48119,48121,48131,48157,48163,48179,48187,48193,48197,48221,48239,48247,48259,48271,48281,48299,48311,48313,48337,48341,48353,48371,48383,48397,48407,48409,48413,48437,48449,48463,48473,48479,48481,48487,48491,48497,48523,48527,48533,48539,48541,48563,48571,48589,48593,48611,48619,48623,48647,48649,48661,48673,48677,48679,48731,48733,48751,48757,48761,48767,48779,48781,48787,48799,48809,48817,48821,48823,48847,48857,48859,48869,48871,48883,48889,48907,48947,48953,48973,48989,48991,49003,49009,49019,49031,49033,49037,49043,49057,49069,49081,49103,49109,49117,49121,49123,49139,49157,49169,49171,49177,49193,49199,49201,49207,49211,49223,49253,49261,49277,49279,49297,49307,49331,49333,49339,49363,49367,49369,49391,49393,49409,49411,49417,49429,49433,49451,49459,49463,49477,49481,49499,49523,49529,49531,49537,49547,49549,49559,49597,49603,49613,49627,49633,49639,49663,49667,49669,49681,49697,49711,49727,49739,49741,49747,49757,49783,49787,49789,49801,49807,49811,49823,49831,49843,49853,49871,49877,49891,49919,49921,49927,49937,49939,49943,49957,49991,49993,49999,50021,50023,50033,50047,50051,50053,50069,50077,50087,50093,50101,50111,50119,50123,50129,50131,50147,50153,50159,50177,50207,50221,50227,50231,50261,50263,50273,50287,50291,50311,50321,50329,50333,50341,50359,50363,50377,50383,50387,50411,50417,50423,50441,50459,50461,50497,50503,50513,50527,50539,50543,50549,50551,50581,50587,50591,50593,50599,50627,50647,50651,50671,50683,50707,50723,50741,50753,50767,50773,50777,50789,50821,50833,50839,50849,50857,50867,50873,50891,50893,50909,50923,50929,50951,50957,50969,50971,50989,50993,51001,51031,51043,51047,51059,51061,51071,51109,51131,51133,51137,51151,51157,51169,51193,51197,51199,51203,51217,51229,51239,51241,51257,51263,51283,51287,51307,51329,51341,51343,51347,51349,51361,51383,51407,51413,51419,51421,51427,51431,51437,51439,51449,51461,51473,51479,51481,51487,51503,51511,51517,51521,51539,51551,51563,51577,51581,51593,51599,51607,51613,51631,51637,51647,51659,51673,51679,51683,51691,51713,51719,51721,51749,51767,51769,51787,51797,51803,51817,51827,51829,51839,51853,51859,51869,51871,51893,51899,51907,51913,51929,51941,51949,51971,51973,51977,51991,52009,52021,52027,52051,52057,52067,52069,52081,52103,52121,52127,52147,52153,52163,52177,52181,52183,52189,52201,52223,52237,52249,52253,52259,52267,52289,52291,52301,52313,52321,52361,52363,52369,52379,52387,52391,52433,52453,52457,52489,52501,52511,52517,52529,52541,52543,52553,52561,52567,52571,52579,52583,52609,52627,52631,52639,52667,52673,52691,52697,52709,52711,52721,52727,52733,52747,52757,52769,52783,52807,52813,52817,52837,52859,52861,52879,52883,52889,52901,52903,52919,52937,52951,52957,52963,52967,52973,52981,52999,53003,53017,53047,53051,53069,53077,53087,53089,53093,53101,53113,53117,53129,53147,53149,53161,53171,53173,53189,53197,53201,53231,53233,53239,53267,53269,53279,53281,53299,53309,53323,53327,53353,53359,53377,53381,53401,53407,53411,53419,53437,53441,53453,53479,53503,53507,53527,53549,53551,53569,53591,53593,53597,53609,53611,53617,53623,53629,53633,53639,53653,53657,53681,53693,53699,53717,53719,53731,53759,53773,53777,53783,53791,53813,53819,53831,53849,53857,53861,53881,53887,53891,53897,53899,53917,53923,53927,53939,53951,53959,53987,53993,54001,54011,54013,54037,54049,54059,54083,54091,54101,54121,54133,54139,54151,54163,54167,54181,54193,54217,54251,54269,54277,54287,54293,54311,54319,54323,54331,54347,54361,54367,54371,54377,54401,54403,54409,54413,54419,54421,54437,54443,54449,54469,54493,54497,54499,54503,54517,54521,54539,54541,54547,54559,54563,54577,54581,54583,54601,54617,54623,54629,54631,54647,54667,54673,54679,54709,54713,54721,54727,54751,54767,54773,54779,54787,54799,54829,54833,54851,54869,54877,54881,54907,54917,54919,54941,54949,54959,54973,54979,54983,55001,55009,55021,55049,55051,55057,55061,55073,55079,55103,55109,55117,55127,55147,55163,55171,55201,55207,55213,55217,55219,55229,55243,55249,55259,55291,55313,55331,55333,55337,55339,55343,55351,55373,55381,55399,55411,55439,55441,55457,55469,55487,55501,55511,55529,55541,55547,55579,55589,55603,55609,55619,55621,55631,55633,55639,55661,55663,55667,55673,55681,55691,55697,55711,55717,55721,55733,55763,55787,55793,55799,55807,55813,55817,55819,55823,55829,55837,55843,55849,55871,55889,55897,55901,55903,55921,55927,55931,55933,55949,55967,55987,55997,56003,56009,56039,56041,56053,56081,56087,56093,56099,56101,56113,56123,56131,56149,56167,56171,56179,56197,56207,56209,56237,56239,56249,56263,56267,56269,56299,56311,56333,56359,56369,56377,56383,56393,56401,56417,56431,56437,56443,56453,56467,56473,56477,56479,56489,56501,56503,56509,56519,56527,56531,56533,56543,56569,56591,56597,56599,56611,56629,56633,56659,56663,56671,56681,56687,56701,56711,56713,56731,56737,56747,56767,56773,56779,56783,56807,56809,56813,56821,56827,56843,56857,56873,56891,56893,56897,56909,56911,56921,56923,56929,56941,56951,56957,56963,56983,56989,56993,56999,57037,57041,57047,57059,57073,57077,57089,57097,57107,57119,57131,57139,57143,57149,57163,57173,57179,57191,57193,57203,57221,57223,57241,57251,57259,57269,57271,57283,57287,57301,57329,57331,57347,57349,57367,57373,57383,57389,57397,57413,57427,57457,57467,57487,57493,57503,57527,57529,57557,57559,57571,57587,57593,57601,57637,57641,57649,57653,57667,57679,57689,57697,57709,57713,57719,57727,57731,57737,57751,57773,57781,57787,57791,57793,57803,57809,57829,57839,57847,57853,57859,57881,57899,57901,57917,57923,57943,57947,57973,57977,57991,58013,58027,58031,58043,58049,58057,58061,58067,58073,58099,58109,58111,58129,58147,58151,58153,58169,58171,58189,58193,58199,58207,58211,58217,58229,58231,58237,58243,58271,58309,58313,58321,58337,58363,58367,58369,58379,58391,58393,58403,58411,58417,58427,58439,58441,58451,58453,58477,58481,58511,58537,58543,58549,58567,58573,58579,58601,58603,58613,58631,58657,58661,58679,58687,58693,58699,58711,58727,58733,58741,58757,58763,58771,58787,58789,58831,58889,58897,58901,58907,58909,58913,58921,58937,58943,58963,58967,58979,58991,58997,59009,59011,59021,59023,59029,59051,59053,59063,59069,59077,59083,59093,59107,59113,59119,59123,59141,59149,59159,59167,59183,59197,59207,59209,59219,59221,59233,59239,59243,59263,59273,59281,59333,59341,59351,59357,59359,59369,59377,59387,59393,59399,59407,59417,59419,59441,59443,59447,59453,59467,59471,59473,59497,59509,59513,59539,59557,59561,59567,59581,59611,59617,59621,59627,59629,59651,59659,59663,59669,59671,59693,59699,59707,59723,59729,59743,59747,59753,59771,59779,59791,59797,59809,59833,59863,59879,59887,59921,59929,59951,59957,59971,59981,59999,60013,60017,60029,60037,60041,60077,60083,60089,60091,60101,60103,60107,60127,60133,60139,60149,60161,60167,60169,60209,60217,60223,60251,60257,60259,60271,60289,60293,60317,60331,60337,60343,60353,60373,60383,60397,60413,60427,60443,60449,60457,60493,60497,60509,60521,60527,60539,60589,60601,60607,60611,60617,60623,60631,60637,60647,60649,60659,60661,60679,60689,60703,60719,60727,60733,60737,60757,60761,60763,60773,60779,60793,60811,60821,60859,60869,60887,60889,60899,60901,60913,60917,60919,60923,60937,60943,60953,60961,61001,61007,61027,61031,61043,61051,61057,61091,61099,61121,61129,61141,61151,61153,61169,61211,61223,61231,61253,61261,61283,61291,61297,61331,61333,61339,61343,61357,61363,61379,61381,61403,61409,61417,61441,61463,61469,61471,61483,61487,61493,61507,61511,61519,61543,61547,61553,61559,61561,61583,61603,61609,61613,61627,61631,61637,61643,61651,61657,61667,61673,61681,61687,61703,61717,61723,61729,61751,61757,61781,61813,61819,61837,61843,61861,61871,61879,61909,61927,61933,61949,61961,61967,61979,61981,61987,61991,62003,62011,62017,62039,62047,62053,62057,62071,62081,62099,62119,62129,62131,62137,62141,62143,62171,62189,62191,62201,62207,62213,62219,62233,62273,62297,62299,62303,62311,62323,62327,62347,62351,62383,62401,62417,62423,62459,62467,62473,62477,62483,62497,62501,62507,62533,62539,62549,62563,62581,62591,62597,62603,62617,62627,62633,62639,62653,62659,62683,62687,62701,62723,62731,62743,62753,62761,62773,62791,62801,62819,62827,62851,62861,62869,62873,62897,62903,62921,62927,62929,62939,62969,62971,62981,62983,62987,62989,63029,63031,63059,63067,63073,63079,63097,63103,63113,63127,63131,63149,63179,63197,63199,63211,63241,63247,63277,63281,63299,63311,63313,63317,63331,63337,63347,63353,63361,63367,63377,63389,63391,63397,63409,63419,63421,63439,63443,63463,63467,63473,63487,63493,63499,63521,63527,63533,63541,63559,63577,63587,63589,63599,63601,63607,63611,63617,63629,63647,63649,63659,63667,63671,63689,63691,63697,63703,63709,63719,63727,63737,63743,63761,63773,63781,63793,63799,63803,63809,63823,63839,63841,63853,63857,63863,63901,63907,63913,63929,63949,63977,63997,64007,64013,64019,64033,64037,64063,64067,64081,64091,64109,64123,64151,64153,64157,64171,64187,64189,64217,64223,64231,64237,64271,64279,64283,64301,64303,64319,64327,64333,64373,64381,64399,64403,64433,64439,64451,64453,64483,64489,64499,64513,64553,64567,64577,64579,64591,64601,64609,64613,64621,64627,64633,64661,64663,64667,64679,64693,64709,64717,64747,64763,64781,64783,64793,64811,64817,64849,64853,64871,64877,64879,64891,64901,64919,64921,64927,64937,64951,64969,64997,65003,65011,65027,65029,65033,65053,65063,65071,65089,65099,65101,65111,65119,65123,65129,65141,65147,65167,65171,65173,65179,65183,65203,65213,65239,65257,65267,65269,65287,65293,65309,65323,65327,65353,65357,65371,65381,65393,65407,65413,65419,65423,65437,65447,65449,65479,65497,65519,65521,65537,65539,65543,65551,65557,65563,65579,65581,65587,65599,65609,65617,65629,65633,65647,65651,65657,65677,65687,65699,65701,65707,65713,65717,65719,65729,65731,65761,65777,65789,65809,65827,65831,65837,65839,65843,65851,65867,65881,65899,65921,65927,65929,65951,65957,65963,65981,65983,65993,66029,66037,66041,66047,66067,66071,66083,66089,66103,66107,66109,66137,66161,66169,66173,66179,66191,66221,66239,66271,66293,66301,66337,66343,66347,66359,66361,66373,66377,66383,66403,66413,66431,66449,66457,66463,66467,66491,66499,66509,66523,66529,66533,66541,66553,66569,66571,66587,66593,66601,66617,66629,66643,66653,66683,66697,66701,66713,66721,66733,66739,66749,66751,66763,66791,66797,66809,66821,66841,66851,66853,66863,66877,66883,66889,66919,66923,66931,66943,66947,66949,66959,66973,66977,67003,67021,67033,67043,67049,67057,67061,67073,67079,67103,67121,67129,67139,67141,67153,67157,67169,67181,67187,67189,67211,67213,67217,67219,67231,67247,67261,67271,67273,67289,67307,67339,67343,67349,67369,67391,67399,67409,67411,67421,67427,67429,67433,67447,67453,67477,67481,67489,67493,67499,67511,67523,67531,67537,67547,67559,67567,67577,67579,67589,67601,67607,67619,67631,67651,67679,67699,67709,67723,67733,67741,67751,67757,67759,67763,67777,67783,67789,67801,67807,67819,67829,67843,67853,67867,67883,67891,67901,67927,67931,67933,67939,67943,67957,67961,67967,67979,67987,67993,68023,68041,68053,68059,68071,68087,68099,68111,68113,68141,68147,68161,68171,68207,68209,68213,68219,68227,68239,68261,68279,68281,68311,68329,68351,68371,68389,68399,68437,68443,68447,68449,68473,68477,68483,68489,68491,68501,68507,68521,68531,68539,68543,68567,68581,68597,68611,68633,68639,68659,68669,68683,68687,68699,68711,68713,68729,68737,68743,68749,68767,68771,68777,68791,68813,68819,68821,68863,68879,68881,68891,68897,68899,68903,68909,68917,68927,68947,68963,68993,69001,69011,69019,69029,69031,69061,69067,69073,69109,69119,69127,69143,69149,69151,69163,69191,69193,69197,69203,69221,69233,69239,69247,69257,69259,69263,69313,69317,69337,69341,69371,69379,69383,69389,69401,69403,69427,69431,69439,69457,69463,69467,69473,69481,69491,69493,69497,69499,69539,69557,69593,69623,69653,69661,69677,69691,69697,69709,69737,69739,69761,69763,69767,69779,69809,69821,69827,69829,69833,69847,69857,69859,69877,69899,69911,69929,69931,69941,69959,69991,69997,70001,70003,70009,70019,70039,70051,70061,70067,70079,70099,70111,70117,70121,70123,70139,70141,70157,70163,70177,70181,70183,70199,70201,70207,70223,70229,70237,70241,70249,70271,70289,70297,70309,70313,70321,70327,70351,70373,70379,70381,70393,70423,70429,70439,70451,70457,70459,70481,70487,70489,70501,70507,70529,70537,70549,70571,70573,70583,70589,70607,70619,70621,70627,70639,70657,70663,70667,70687,70709,70717,70729,70753,70769,70783,70793,70823,70841,70843,70849,70853,70867,70877,70879,70891,70901,70913,70919,70921,70937,70949,70951,70957,70969,70979,70981,70991,70997,70999,71011,71023,71039,71059,71069,71081,71089,71119,71129,71143,71147,71153,71161,71167,71171,71191,71209,71233,71237,71249,71257,71261,71263,71287,71293,71317,71327,71329,71333,71339,71341,71347,71353,71359,71363,71387,71389,71399,71411,71413,71419,71429,71437,71443,71453,71471,71473,71479,71483,71503,71527,71537,71549,71551,71563,71569,71593,71597,71633,71647,71663,71671,71693,71699,71707,71711,71713,71719,71741,71761,71777,71789,71807,71809,71821,71837,71843,71849,71861,71867,71879,71881,71887,71899,71909,71917,71933,71941,71947,71963,71971,71983,71987,71993,71999,72019,72031,72043,72047,72053,72073,72077,72089,72091,72101,72103,72109,72139,72161,72167,72169,72173,72211,72221,72223,72227,72229,72251,72253,72269,72271,72277,72287,72307,72313,72337,72341,72353,72367,72379,72383,72421,72431,72461,72467,72469,72481,72493,72497,72503,72533,72547,72551,72559,72577,72613,72617,72623,72643,72647,72649,72661,72671,72673,72679,72689,72701,72707,72719,72727,72733,72739,72763,72767,72797,72817,72823,72859,72869,72871,72883,72889,72893,72901,72907,72911,72923,72931,72937,72949,72953,72959,72973,72977,72997,73009,73013,73019,73037,73039,73043,73061,73063,73079,73091,73121,73127,73133,73141,73181,73189,73237,73243,73259,73277,73291,73303,73309,73327,73331,73351,73361,73363,73369,73379,73387,73417,73421,73433,73453,73459,73471,73477,73483,73517,73523,73529,73547,73553,73561,73571,73583,73589,73597,73607,73609,73613,73637,73643,73651,73673,73679,73681,73693,73699,73709,73721,73727,73751,73757,73771,73783,73819,73823,73847,73849,73859,73867,73877,73883,73897,73907,73939,73943,73951,73961,73973,73999,74017,74021,74027,74047,74051,74071,74077,74093,74099,74101,74131,74143,74149,74159,74161,74167,74177,74189,74197,74201,74203,74209,74219,74231,74257,74279,74287,74293,74297,74311,74317,74323,74353,74357,74363,74377,74381,74383,74411,74413,74419,74441,74449,74453,74471,74489,74507,74509,74521,74527,74531,74551,74561,74567,74573,74587,74597,74609,74611,74623,74653,74687,74699,74707,74713,74717,74719,74729,74731,74747,74759,74761,74771,74779,74797,74821,74827,74831,74843,74857,74861,74869,74873,74887,74891,74897,74903,74923,74929,74933,74941,74959,75011,75013,75017,75029,75037,75041,75079,75083,75109,75133,75149,75161,75167,75169,75181,75193,75209,75211,75217,75223,75227,75239,75253,75269,75277,75289,75307,75323,75329,75337,75347,75353,75367,75377,75389,75391,75401,75403,75407,75431,75437,75479,75503,75511,75521,75527,75533,75539,75541,75553,75557,75571,75577,75583,75611,75617,75619,75629,75641,75653,75659,75679,75683,75689,75703,75707,75709,75721,75731,75743,75767,75773,75781,75787,75793,75797,75821,75833,75853,75869,75883,75913,75931,75937,75941,75967,75979,75983,75989,75991,75997,76001,76003,76031,76039,76079,76081,76091,76099,76103,76123,76129,76147,76157,76159,76163,76207,76213,76231,76243,76249,76253,76259,76261,76283,76289,76303,76333,76343,76367,76369,76379,76387,76403,76421,76423,76441,76463,76471,76481,76487,76493,76507,76511,76519,76537,76541,76543,76561,76579,76597,76603,76607,76631,76649,76651,76667,76673,76679,76697,76717,76733,76753,76757,76771,76777,76781,76801,76819,76829,76831,76837,76847,76871,76873,76883,76907,76913,76919,76943,76949,76961,76963,76991,77003,77017,77023,77029,77041,77047,77069,77081,77093,77101,77137,77141,77153,77167,77171,77191,77201,77213,77237,77239,77243,77249,77261,77263,77267,77269,77279,77291,77317,77323,77339,77347,77351,77359,77369,77377,77383,77417,77419,77431,77447,77471,77477,77479,77489,77491,77509,77513,77521,77527,77543,77549,77551,77557,77563,77569,77573,77587,77591,77611,77617,77621,77641,77647,77659,77681,77687,77689,77699,77711,77713,77719,77723,77731,77743,77747,77761,77773,77783,77797,77801,77813,77839,77849,77863,77867,77893,77899,77929,77933,77951,77969,77977,77983,77999,78007,78017,78031,78041,78049,78059,78079,78101,78121,78137,78139,78157,78163,78167,78173,78179,78191,78193,78203,78229,78233,78241,78259,78277,78283,78301,78307,78311,78317,78341,78347,78367,78401,78427,78437,78439,78467,78479,78487,78497,78509,78511,78517,78539,78541,78553,78569,78571,78577,78583,78593,78607,78623,78643,78649,78653,78691,78697,78707,78713,78721,78737,78779,78781,78787,78791,78797,78803,78809,78823,78839,78853,78857,78877,78887,78889,78893,78901,78919,78929,78941,78977,78979,78989,79031,79039,79043,79063,79087,79103,79111,79133,79139,79147,79151,79153,79159,79181,79187,79193,79201,79229,79231,79241,79259,79273,79279,79283,79301,79309,79319,79333,79337,79349,79357,79367,79379,79393,79397,79399,79411,79423,79427,79433,79451,79481,79493,79531,79537,79549,79559,79561,79579,79589,79601,79609,79613,79621,79627,79631,79633,79657,79669,79687,79691,79693,79697,79699,79757,79769,79777,79801,79811,79813,79817,79823,79829,79841,79843,79847,79861,79867,79873,79889,79901,79903,79907,79939,79943,79967,79973,79979,79987,79997,79999,80021,80039,80051,80071,80077,80107,80111,80141,80147,80149,80153,80167,80173,80177,80191,80207,80209,80221,80231,80233,80239,80251,80263,80273,80279,80287,80309,80317,80329,80341,80347,80363,80369,80387,80407,80429,80447,80449,80471,80473,80489,80491,80513,80527,80537,80557,80567,80599,80603,80611,80621,80627,80629,80651,80657,80669,80671,80677,80681,80683,80687,80701,80713,80737,80747,80749,80761,80777,80779,80783,80789,80803,80809,80819,80831,80833,80849,80863,80897,80909,80911,80917,80923,80929,80933,80953,80963,80989,81001,81013,81017,81019,81023,81031,81041,81043,81047,81049,81071,81077,81083,81097,81101,81119,81131,81157,81163,81173,81181,81197,81199,81203,81223,81233,81239,81281,81283,81293,81299,81307,81331,81343,81349,81353,81359,81371,81373,81401,81409,81421,81439,81457,81463,81509,81517,81527,81533,81547,81551,81553,81559,81563,81569,81611,81619,81629,81637,81647,81649,81667,81671,81677,81689,81701,81703,81707,81727,81737,81749,81761,81769,81773,81799,81817,81839,81847,81853,81869,81883,81899,81901,81919,81929,81931,81937,81943,81953,81967,81971,81973,82003,82007,82009,82013,82021,82031,82037,82039,82051,82067,82073,82129,82139,82141,82153,82163,82171,82183,82189,82193,82207,82217,82219,82223,82231,82237,82241,82261,82267,82279,82301,82307,82339,82349,82351,82361,82373,82387,82393,82421,82457,82463,82469,82471,82483,82487,82493,82499,82507,82529,82531,82549,82559,82561,82567,82571,82591,82601,82609,82613,82619,82633,82651,82657,82699,82721,82723,82727,82729,82757,82759,82763,82781,82787,82793,82799,82811,82813,82837,82847,82883,82889,82891,82903,82913,82939,82963,82981,82997,83003,83009,83023,83047,83059,83063,83071,83077,83089,83093,83101,83117,83137,83177,83203,83207,83219,83221,83227,83231,83233,83243,83257,83267,83269,83273,83299,83311,83339,83341,83357,83383,83389,83399,83401,83407,83417,83423,83431,83437,83443,83449,83459,83471,83477,83497,83537,83557,83561,83563,83579,83591,83597,83609,83617,83621,83639,83641,83653,83663,83689,83701,83717,83719,83737,83761,83773,83777,83791,83813,83833,83843,83857,83869,83873,83891,83903,83911,83921,83933,83939,83969,83983,83987,84011,84017,84047,84053,84059,84061,84067,84089,84121,84127,84131,84137,84143,84163,84179,84181,84191,84199,84211,84221,84223,84229,84239,84247,84263,84299,84307,84313,84317,84319,84347,84349,84377,84389,84391,84401,84407,84421,84431,84437,84443,84449,84457,84463,84467,84481,84499,84503,84509,84521,84523,84533,84551,84559,84589,84629,84631,84649,84653,84659,84673,84691,84697,84701,84713,84719,84731,84737,84751,84761,84787,84793,84809,84811,84827,84857,84859,84869,84871,84913,84919,84947,84961,84967,84977,84979,84991,85009,85021,85027,85037,85049,85061,85081,85087,85091,85093,85103,85109,85121,85133,85147,85159,85193,85199,85201,85213,85223,85229,85237,85243,85247,85259,85297,85303,85313,85331,85333,85361,85363,85369,85381,85411,85427,85429,85439,85447,85451,85453,85469,85487,85513,85517,85523,85531,85549,85571,85577,85597,85601,85607,85619,85621,85627,85639,85643,85661,85667,85669,85691,85703,85711,85717,85733,85751,85781,85793,85817,85819,85829,85831,85837,85843,85847,85853,85889,85903,85909,85931,85933,85991,85999,86011,86017,86027,86029,86069,86077,86083,86111,86113,86117,86131,86137,86143,86161,86171,86179,86183,86197,86201,86209,86239,86243,86249,86257,86263,86269,86287,86291,86293,86297,86311,86323,86341,86351,86353,86357,86369,86371,86381,86389,86399,86413,86423,86441,86453,86461,86467,86477,86491,86501,86509,86531,86533,86539,86561,86573,86579,86587,86599,86627,86629,86677,86689,86693,86711,86719,86729,86743,86753,86767,86771,86783,86813,86837,86843,86851,86857,86861,86869,86923,86927,86929,86939,86951,86959,86969,86981,86993,87011,87013,87037,87041,87049,87071,87083,87103,87107,87119,87121,87133,87149,87151,87179,87181,87187,87211,87221,87223,87251,87253,87257,87277,87281,87293,87299,87313,87317,87323,87337,87359,87383,87403,87407,87421,87427,87433,87443,87473,87481,87491,87509,87511,87517,87523,87539,87541,87547,87553,87557,87559,87583,87587,87589,87613,87623,87629,87631,87641,87643,87649,87671,87679,87683,87691,87697,87701,87719,87721,87739,87743,87751,87767,87793,87797,87803,87811,87833,87853,87869,87877,87881,87887,87911,87917,87931,87943,87959,87961,87973,87977,87991,88001,88003,88007,88019,88037,88069,88079,88093,88117,88129,88169,88177,88211,88223,88237,88241,88259,88261,88289,88301,88321,88327,88337,88339,88379,88397,88411,88423,88427,88463,88469,88471,88493,88499,88513,88523,88547,88589,88591,88607,88609,88643,88651,88657,88661,88663,88667,88681,88721,88729,88741,88747,88771,88789,88793,88799,88801,88807,88811,88813,88817,88819,88843,88853,88861,88867,88873,88883,88897,88903,88919,88937,88951,88969,88993,88997,89003,89009,89017,89021,89041,89051,89057,89069,89071,89083,89087,89101,89107,89113,89119,89123,89137,89153,89189,89203,89209,89213,89227,89231,89237,89261,89269,89273,89293,89303,89317,89329,89363,89371,89381,89387,89393,89399,89413,89417,89431,89443,89449,89459,89477,89491,89501,89513,89519,89521,89527,89533,89561,89563,89567,89591,89597,89599,89603,89611,89627,89633,89653,89657,89659,89669,89671,89681,89689,89753,89759,89767,89779,89783,89797,89809,89819,89821,89833,89839,89849,89867,89891,89897,89899,89909,89917,89923,89939,89959,89963,89977,89983,89989,90001,90007,90011,90017,90019,90023,90031,90053,90059,90067,90071,90073,90089,90107,90121,90127,90149,90163,90173,90187,90191,90197,90199,90203,90217,90227,90239,90247,90263,90271,90281,90289,90313,90353,90359,90371,90373,90379,90397,90401,90403,90407,90437,90439,90469,90473,90481,90499,90511,90523,90527,90529,90533,90547,90583,90599,90617,90619,90631,90641,90647,90659,90677,90679,90697,90703,90709,90731,90749,90787,90793,90803,90821,90823,90833,90841,90847,90863,90887,90901,90907,90911,90917,90931,90947,90971,90977,90989,90997,91009,91019,91033,91079,91081,91097,91099,91121,91127,91129,91139,91141,91151,91153,91159,91163,91183,91193,91199,91229,91237,91243,91249,91253,91283,91291,91297,91303,91309,91331,91367,91369,91373,91381,91387,91393,91397,91411,91423,91433,91453,91457,91459,91463,91493,91499,91513,91529,91541,91571,91573,91577,91583,91591,91621,91631,91639,91673,91691,91703,91711,91733,91753,91757,91771,91781,91801,91807,91811,91813,91823,91837,91841,91867,91873,91909,91921,91939,91943,91951,91957,91961,91967,91969,91997,92003,92009,92033,92041,92051,92077,92083,92107,92111,92119,92143,92153,92173,92177,92179,92189,92203,92219,92221,92227,92233,92237,92243,92251,92269,92297,92311,92317,92333,92347,92353,92357,92363,92369,92377,92381,92383,92387,92399,92401,92413,92419,92431,92459,92461,92467,92479,92489,92503,92507,92551,92557,92567,92569,92581,92593,92623,92627,92639,92641,92647,92657,92669,92671,92681,92683,92693,92699,92707,92717,92723,92737,92753,92761,92767,92779,92789,92791,92801,92809,92821,92831,92849,92857,92861,92863,92867,92893,92899,92921,92927,92941,92951,92957,92959,92987,92993,93001,93047,93053,93059,93077,93083,93089,93097,93103,93113,93131,93133,93139,93151,93169,93179,93187,93199,93229,93239,93241,93251,93253,93257,93263,93281,93283,93287,93307,93319,93323,93329,93337,93371,93377,93383,93407,93419,93427,93463,93479,93481,93487,93491,93493,93497,93503,93523,93529,93553,93557,93559,93563,93581,93601,93607,93629,93637,93683,93701,93703,93719,93739,93761,93763,93787,93809,93811,93827,93851,93871,93887,93889,93893,93901,93911,93913,93923,93937,93941,93949,93967,93971,93979,93983,93997,94007,94009,94033,94049,94057,94063,94079,94099,94109,94111,94117,94121,94151,94153,94169,94201,94207,94219,94229,94253,94261,94273,94291,94307,94309,94321,94327,94331,94343,94349,94351,94379,94397,94399,94421,94427,94433,94439,94441,94447,94463,94477,94483,94513,94529,94531,94541,94543,94547,94559,94561,94573,94583,94597,94603,94613,94621,94649,94651,94687,94693,94709,94723,94727,94747,94771,94777,94781,94789,94793,94811,94819,94823,94837,94841,94847,94849,94873,94889,94903,94907,94933,94949,94951,94961,94993,94999,95003,95009,95021,95027,95063,95071,95083,95087,95089,95093,95101,95107,95111,95131,95143,95153,95177,95189,95191,95203,95213,95219,95231,95233,95239,95257,95261,95267,95273,95279,95287,95311,95317,95327,95339,95369,95383,95393,95401,95413,95419,95429,95441,95443,95461,95467,95471,95479,95483,95507,95527,95531,95539,95549,95561,95569,95581,95597,95603,95617,95621,95629,95633,95651,95701,95707,95713,95717,95723,95731,95737,95747,95773,95783,95789,95791,95801,95803,95813,95819,95857,95869,95873,95881,95891,95911,95917,95923,95929,95947,95957,95959,95971,95987,95989,96001,96013,96017,96043,96053,96059,96079,96097,96137,96149,96157,96167,96179,96181,96199,96211,96221,96223,96233,96259,96263,96269,96281,96289,96293,96323,96329,96331,96337,96353,96377,96401,96419,96431,96443,96451,96457,96461,96469,96479,96487,96493,96497,96517,96527,96553,96557,96581,96587,96589,96601,96643,96661,96667,96671,96697,96703,96731,96737,96739,96749,96757,96763,96769,96779,96787,96797,96799,96821,96823,96827,96847,96851,96857,96893,96907,96911,96931,96953,96959,96973,96979,96989,96997,97001,97003,97007,97021,97039,97073,97081,97103,97117,97127,97151,97157,97159,97169,97171,97177,97187,97213,97231,97241,97259,97283,97301,97303,97327,97367,97369,97373,97379,97381,97387,97397,97423,97429,97441,97453,97459,97463,97499,97501,97511,97523,97547,97549,97553,97561,97571,97577,97579,97583,97607,97609,97613,97649,97651,97673,97687,97711,97729,97771,97777,97787,97789,97813,97829,97841,97843,97847,97849,97859,97861,97871,97879,97883,97919,97927,97931,97943,97961,97967,97973,97987,98009,98011,98017,98041,98047,98057,98081,98101,98123,98129,98143,98179,98207,98213,98221,98227,98251,98257,98269,98297,98299,98317,98321,98323,98327,98347,98369,98377,98387,98389,98407,98411,98419,98429,98443,98453,98459,98467,98473,98479,98491,98507,98519,98533,98543,98561,98563,98573,98597,98621,98627,98639,98641,98663,98669,98689,98711,98713,98717,98729,98731,98737,98773,98779,98801,98807,98809,98837,98849,98867,98869,98873,98887,98893,98897,98899,98909,98911,98927,98929,98939,98947,98953,98963,98981,98993,98999,99013,99017,99023,99041,99053,99079,99083,99089,99103,99109,99119,99131,99133,99137,99139,99149,99173,99181,99191,99223,99233,99241,99251,99257,99259,99277,99289,99317,99347,99349,99367,99371,99377,99391,99397,99401,99409,99431,99439,99469,99487,99497,99523,99527,99529,99551,99559,99563,99571,99577,99581,99607,99611,99623,99643,99661,99667,99679,99689,99707,99709,99713,99719,99721,99733,99761,99767,99787,99793,99809,99817,99823,99829,99833,99839,99859,99871,99877,99881,99901,99907,99923,99929,99961,99971,99989,99991,100003,100019,100043,100049,100057,100069,100103,100109,100129,100151,100153,100169,100183,100189,100193,100207,100213,100237,100267,100271,100279,100291,100297,100313,100333,100343,100357,100361,100363,100379,100391,100393,100403,100411,100417,100447,100459,100469,100483,100493,100501,100511,100517,100519,100523,100537,100547,100549,100559,100591,100609,100613,100621,100649,100669,100673,100693,100699,100703,100733,100741,100747,100769,100787,100799,100801,100811,100823,100829,100847,100853,100907,100913,100927,100931,100937,100943,100957,100981,100987,100999,101009,101021,101027,101051,101063,101081,101089,101107,101111,101113,101117,101119,101141,101149,101159,101161,101173,101183,101197,101203,101207,101209,101221,101267,101273,101279,101281,101287,101293,101323,101333,101341,101347,101359,101363,101377,101383,101399,101411,101419,101429,101449,101467,101477,101483,101489,101501,101503,101513,101527,101531,101533,101537,101561,101573,101581,101599,101603,101611,101627,101641,101653,101663,101681,101693,101701,101719,101723,101737,101741,101747,101749,101771,101789,101797,101807,101833,101837,101839,101863,101869,101873,101879,101891,101917,101921,101929,101939,101957,101963,101977,101987,101999,102001,102013,102019,102023,102031,102043,102059,102061,102071,102077,102079,102101,102103,102107,102121,102139,102149,102161,102181,102191,102197,102199,102203,102217,102229,102233,102241,102251,102253,102259,102293,102299,102301,102317,102329,102337,102359,102367,102397,102407,102409,102433,102437,102451,102461,102481,102497,102499,102503,102523,102533,102539,102547,102551,102559,102563,102587,102593,102607,102611,102643,102647,102653,102667,102673,102677,102679,102701,102761,102763,102769,102793,102797,102811,102829,102841,102859,102871,102877,102881,102911,102913,102929,102931,102953,102967,102983,103001,103007,103043,103049,103067,103069,103079,103087,103091,103093,103099,103123,103141,103171,103177,103183,103217,103231,103237,103289,103291,103307,103319,103333,103349,103357,103387,103391,103393,103399,103409,103421,103423,103451,103457,103471,103483,103511,103529,103549,103553,103561,103567,103573,103577,103583,103591,103613,103619,103643,103651,103657,103669,103681,103687,103699,103703,103723,103769,103787,103801,103811,103813,103837,103841,103843,103867,103889,103903,103913,103919,103951,103963,103967,103969,103979,103981,103991,103993,103997,104003,104009,104021,104033,104047,104053,104059,104087,104089,104107,104113,104119,104123,104147,104149,104161,104173,104179,104183,104207,104231,104233,104239,104243,104281,104287,104297,104309,104311,104323,104327,104347,104369,104381,104383,104393,104399,104417,104459,104471,104473,104479,104491,104513,104527,104537,104543,104549,104551,104561,104579,104593,104597,104623,104639,104651,104659,104677,104681,104683,104693,104701,104707,104711,104717,104723,104729,104743,104759,104761,104773,104779,104789,104801,104803,104827,104831,104849,104851,104869,104879,104891,104911,104917,104933,104947,104953,104959,104971,104987,104999,105019,105023,105031,105037,105071,105097,105107,105137,105143,105167,105173,105199,105211,105227,105229,105239,105251,105253,105263,105269,105277,105319,105323,105331,105337,105341,105359,105361,105367,105373,105379,105389,105397,105401,105407,105437,105449,105467,105491,105499,105503,105509,105517,105527,105529,105533,105541,105557,105563,105601,105607,105613,105619,105649,105653,105667,105673,105683,105691,105701,105727,105733,105751,105761,105767,105769,105817,105829,105863,105871,105883,105899,105907,105913,105929,105943,105953,105967,105971,105977,105983,105997,106013,106019,106031,106033,106087,106103,106109,106121,106123,106129,106163,106181,106187,106189,106207,106213,106217,106219,106243,106261,106273,106277,106279,106291,106297,106303,106307,106319,106321,106331,106349,106357,106363,106367,106373,106391,106397,106411,106417,106427,106433,106441,106451,106453,106487,106501,106531,106537,106541,106543,106591,106619,106621,106627,106637,106649,106657,106661,106663,106669,106681,106693,106699,106703,106721,106727,106739,106747,106751,106753,106759,106781,106783,106787,106801,106823,106853,106859,106861,106867,106871,106877,106903,106907,106921,106937,106949,106957,106961,106963,106979,106993,107021,107033,107053,107057,107069,107071,107077,107089,107099,107101,107119,107123,107137,107171,107183,107197,107201,107209,107227,107243,107251,107269,107273,107279,107309,107323,107339,107347,107351,107357,107377,107441,107449,107453,107467,107473,107507,107509,107563,107581,107599,107603,107609,107621,107641,107647,107671,107687,107693,107699,107713,107717,107719,107741,107747,107761,107773,107777,107791,107827,107837,107839,107843,107857,107867,107873,107881,107897,107903,107923,107927,107941,107951,107971,107981,107999,108007,108011,108013,108023,108037,108041,108061,108079,108089,108107,108109,108127,108131,108139,108161,108179,108187,108191,108193,108203,108211,108217,108223,108233,108247,108263,108271,108287,108289,108293,108301,108343,108347,108359,108377,108379,108401,108413,108421,108439,108457,108461,108463,108497,108499,108503,108517,108529,108533,108541,108553,108557,108571,108587,108631,108637,108643,108649,108677,108707,108709,108727,108739,108751,108761,108769,108791,108793,108799,108803,108821,108827,108863,108869,108877,108881,108883,108887,108893,108907,108917,108923,108929,108943,108947,108949,108959,108961,108967,108971,108991,109001,109013,109037,109049,109063,109073,109097,109103,109111,109121,109133,109139,109141,109147,109159,109169,109171,109199,109201,109211,109229,109253,109267,109279,109297,109303,109313,109321,109331,109357,109363,109367,109379,109387,109391,109397,109423,109433,109441,109451,109453,109469,109471,109481,109507,109517,109519,109537,109541,109547,109567,109579,109583,109589,109597,109609,109619,109621,109639,109661,109663,109673,109717,109721,109741,109751,109789,109793,109807,109819,109829,109831,109841,109843,109847,109849,109859,109873,109883,109891,109897,109903,109913,109919,109937,109943,109961,109987,110017,110023,110039,110051,110059,110063,110069,110083,110119,110129,110161,110183,110221,110233,110237,110251,110261,110269,110273,110281,110291,110311,110321,110323,110339,110359,110419,110431,110437,110441,110459,110477,110479,110491,110501,110503,110527,110533,110543,110557,110563,110567,110569,110573,110581,110587,110597,110603,110609,110623,110629,110641,110647,110651,110681,110711,110729,110731,110749,110753,110771,110777,110807,110813,110819,110821,110849,110863,110879,110881,110899,110909,110917,110921,110923,110927,110933,110939,110947,110951,110969,110977,110989,111029,111031,111043,111049,111053,111091,111103,111109,111119,111121,111127,111143,111149,111187,111191,111211,111217,111227,111229,111253,111263,111269,111271,111301,111317,111323,111337,111341,111347,111373,111409,111427,111431,111439,111443,111467,111487,111491,111493,111497,111509,111521,111533,111539,111577,111581,111593,111599,111611,111623,111637,111641,111653,111659,111667,111697,111721,111731,111733,111751,111767,111773,111779,111781,111791,111799,111821,111827,111829,111833,111847,111857,111863,111869,111871,111893,111913,111919,111949,111953,111959,111973,111977,111997,112019,112031,112061,112067,112069,112087,112097,112103,112111,112121,112129,112139,112153,112163,112181,112199,112207,112213,112223,112237,112241,112247,112249,112253,112261,112279,112289,112291,112297,112303,112327,112331,112337,112339,112349,112361,112363,112397,112403,112429,112459,112481,112501,112507,112543,112559,112571,112573,112577,112583,112589,112601,112603,112621,112643,112657,112663,112687,112691,112741,112757,112759,112771,112787,112799,112807,112831,112843,112859,112877,112901,112909,112913,112919,112921,112927,112939,112951,112967,112979,112997,113011,113017,113021,113023,113027,113039,113041,113051,113063,113081,113083,113089,113093,113111,113117,113123,113131,113143,113147,113149,113153,113159,113161,113167,113171,113173,113177,113189,113209,113213,113227,113233,113279,113287,113327,113329,113341,113357,113359,113363,113371,113381,113383,113417,113437,113453,113467,113489,113497,113501,113513,113537,113539,113557,113567,113591,113621,113623,113647,113657,113683,113717,113719,113723,113731,113749,113759,113761,113777,113779,113783,113797,113809,113819,113837,113843,113891,113899,113903,113909,113921,113933,113947,113957,113963,113969,113983,113989,114001,114013,114031,114041,114043,114067,114073,114077,114083,114089,114113,114143,114157,114161,114167,114193,114197,114199,114203,114217,114221,114229,114259,114269,114277,114281,114299,114311,114319,114329,114343,114371,114377,114407,114419,114451,114467,114473,114479,114487,114493,114547,114553,114571,114577,114593,114599,114601,114613,114617,114641,114643,114649,114659,114661,114671,114679,114689,114691,114713,114743,114749,114757,114761,114769,114773,114781,114797,114799,114809,114827,114833,114847,114859,114883,114889,114901,114913,114941,114967,114973,114997,115001,115013,115019,115021,115057,115061,115067,115079,115099,115117,115123,115127,115133,115151,115153,115163,115183,115201,115211,115223,115237,115249,115259,115279,115301,115303,115309,115319,115321,115327,115331,115337,115343,115361,115363,115399,115421,115429,115459,115469,115471,115499,115513,115523,115547,115553,115561,115571,115589,115597,115601,115603,115613,115631,115637,115657,115663,115679,115693,115727,115733,115741,115751,115757,115763,115769,115771,115777,115781,115783,115793,115807,115811,115823,115831,115837,115849,115853,115859,115861,115873,115877,115879,115883,115891,115901,115903,115931,115933,115963,115979,115981,115987,116009,116027,116041,116047,116089,116099,116101,116107,116113,116131,116141,116159,116167,116177,116189,116191,116201,116239,116243,116257,116269,116273,116279,116293,116329,116341,116351,116359,116371,116381,116387,116411,116423,116437,116443,116447,116461,116471,116483,116491,116507,116531,116533,116537,116539,116549,116579,116593,116639,116657,116663,116681,116687,116689,116707,116719,116731,116741,116747,116789,116791,116797,116803,116819,116827,116833,116849,116867,116881,116903,116911,116923,116927,116929,116933,116953,116959,116969,116981,116989,116993,117017,117023,117037,117041,117043,117053,117071,117101,117109,117119,117127,117133,117163,117167,117191,117193,117203,117209,117223,117239,117241,117251,117259,117269,117281,117307,117319,117329,117331,117353,117361,117371,117373,117389,117413,117427,117431,117437,117443,117497,117499,117503,117511,117517,117529,117539,117541,117563,117571,117577,117617,117619,117643,117659,117671,117673,117679,117701,117703,117709,117721,117727,117731,117751,117757,117763,117773,117779,117787,117797,117809,117811,117833,117839,117841,117851,117877,117881,117883,117889,117899,117911,117917,117937,117959,117973,117977,117979,117989,117991,118033,118037,118043,118051,118057,118061,118081,118093,118127,118147,118163,118169,118171,118189,118211,118213,118219,118247,118249,118253,118259,118273,118277,118297,118343,118361,118369,118373,118387,118399,118409,118411,118423,118429,118453,118457,118463,118471,118493,118529,118543,118549,118571,118583,118589,118603,118619,118621,118633,118661,118669,118673,118681,118687,118691,118709,118717,118739,118747,118751,118757,118787,118799,118801,118819,118831,118843,118861,118873,118891,118897,118901,118903,118907,118913,118927,118931,118967,118973,119027,119033,119039,119047,119057,119069,119083,119087,119089,119099,119101,119107,119129,119131,119159,119173,119179,119183,119191,119227,119233,119237,119243,119267,119291,119293,119297,119299,119311,119321,119359,119363,119389,119417,119419,119429,119447,119489,119503,119513,119533,119549,119551,119557,119563,119569,119591,119611,119617,119627,119633,119653,119657,119659,119671,119677,119687,119689,119699,119701,119723,119737,119747,119759,119771,119773,119783,119797,119809,119813,119827,119831,119839,119849,119851,119869,119881,119891,119921,119923,119929,119953,119963,119971,119981,119983,119993,120011,120017,120041,120047,120049,120067,120077,120079,120091,120097,120103,120121,120157,120163,120167,120181,120193,120199,120209,120223,120233,120247,120277,120283,120293,120299,120319,120331,120349,120371,120383,120391,120397,120401,120413,120427,120431,120473,120503,120511,120539,120551,120557,120563,120569,120577,120587,120607,120619,120623,120641,120647,120661,120671,120677,120689,120691,120709,120713,120721,120737,120739,120749,120763,120767,120779,120811,120817,120823,120829,120833,120847,120851,120863,120871,120877,120889,120899,120907,120917,120919,120929,120937,120941,120943,120947,120977,120997,121001,121007,121013,121019,121021,121039,121061,121063,121067,121081,121123,121139,121151,121157,121169,121171,121181,121189,121229,121259,121267,121271,121283,121291,121309,121313,121321,121327,121333,121343,121349,121351,121357,121367,121369,121379,121403,121421,121439,121441,121447,121453,121469,121487,121493,121501,121507,121523,121531,121547,121553,121559,121571,121577,121579,121591,121607,121609,121621,121631,121633,121637,121661,121687,121697,121711,121721,121727,121763,121787,121789,121843,121853,121867,121883,121889,121909,121921,121931,121937,121949,121951,121963,121967,121993,121997,122011,122021,122027,122029,122033,122039,122041,122051,122053,122069,122081,122099,122117,122131,122147,122149,122167,122173,122201,122203,122207,122209,122219,122231,122251,122263,122267,122273,122279,122299,122321,122323,122327,122347,122363,122387,122389,122393,122399,122401,122443,122449,122453,122471,122477,122489,122497,122501,122503,122509,122527,122533,122557,122561,122579,122597,122599,122609,122611,122651,122653,122663,122693,122701,122719,122741,122743,122753,122761,122777,122789,122819,122827,122833,122839,122849,122861,122867,122869,122887,122891,122921,122929,122939,122953,122957,122963,122971,123001,123007,123017,123031,123049,123059,123077,123083,123091,123113,123121,123127,123143,123169,123191,123203,123209,123217,123229,123239,123259,123269,123289,123307,123311,123323,123341,123373,123377,123379,123397,123401,123407,123419,123427,123433,123439,123449,123457,123479,123491,123493,123499,123503,123517,123527,123547,123551,123553,123581,123583,123593,123601,123619,123631,123637,123653,123661,123667,123677,123701,123707,123719,123727,123731,123733,123737,123757,123787,123791,123803,123817,123821,123829,123833,123853,123863,123887,123911,123923,123931,123941,123953,123973,123979,123983,123989,123997,124001,124021,124067,124087,124097,124121,124123,124133,124139,124147,124153,124171,124181,124183,124193,124199,124213,124231,124247,124249,124277,124291,124297,124301,124303,124309,124337,124339,124343,124349,124351,124363,124367,124427,124429,124433,124447,124459,124471,124477,124489,124493,124513,124529,124541,124543,124561,124567,124577,124601,124633,124643,124669,124673,124679,124693,124699,124703,124717,124721,124739,124753,124759,124769,124771,124777,124781,124783,124793,124799,124819,124823,124847,124853,124897,124907,124909,124919,124951,124979,124981,124987,124991,125003,125017,125029,125053,125063,125093,125101,125107,125113,125117,125119,125131,125141,125149,125183,125197,125201,125207,125219,125221,125231,125243,125261,125269,125287,125299,125303,125311,125329,125339,125353,125371,125383,125387,125399,125407,125423,125429,125441,125453,125471,125497,125507,125509,125527,125539,125551,125591,125597,125617,125621,125627,125639,125641,125651,125659,125669,125683,125687,125693,125707,125711,125717,125731,125737,125743,125753,125777,125789,125791,125803,125813,125821,125863,125887,125897,125899,125921,125927,125929,125933,125941,125959,125963,126001,126011,126013,126019,126023,126031,126037,126041,126047,126067,126079,126097,126107,126127,126131,126143,126151,126173,126199,126211,126223,126227,126229,126233,126241,126257,126271,126307,126311,126317,126323,126337,126341,126349,126359,126397,126421,126433,126443,126457,126461,126473,126481,126487,126491,126493,126499,126517,126541,126547,126551,126583,126601,126611,126613,126631,126641,126653,126683,126691,126703,126713,126719,126733,126739,126743,126751,126757,126761,126781,126823,126827,126839,126851,126857,126859,126913,126923,126943,126949,126961,126967,126989,127031,127033,127037,127051,127079,127081,127103,127123,127133,127139,127157,127163,127189,127207,127217,127219,127241,127247,127249,127261,127271,127277,127289,127291,127297,127301,127321,127331,127343,127363,127373,127399,127403,127423,127447,127453,127481,127487,127493,127507,127529,127541,127549,127579,127583,127591,127597,127601,127607,127609,127637,127643,127649,127657,127663,127669,127679,127681,127691,127703,127709,127711,127717,127727,127733,127739,127747,127763,127781,127807,127817,127819,127837,127843,127849,127859,127867,127873,127877,127913,127921,127931,127951,127973,127979,127997,128021,128033,128047,128053,128099,128111,128113,128119,128147,128153,128159,128173,128189,128201,128203,128213,128221,128237,128239,128257,128273,128287,128291,128311,128321,128327,128339,128341,128347,128351,128377,128389,128393,128399,128411,128413,128431,128437,128449,128461,128467,128473,128477,128483,128489,128509,128519,128521,128549,128551,128563,128591,128599,128603,128621,128629,128657,128659,128663,128669,128677,128683,128693,128717,128747,128749,128761,128767,128813,128819,128831,128833,128837,128857,128861,128873,128879,128903,128923,128939,128941,128951,128959,128969,128971,128981,128983,128987,128993,129001,129011,129023,129037,129049,129061,129083,129089,129097,129113,129119,129121,129127,129169,129187,129193,129197,129209,129221,129223,129229,129263,129277,129281,129287,129289,129293,129313,129341,129347,129361,129379,129401,129403,129419,129439,129443,129449,129457,129461,129469,129491,129497,129499,129509,129517,129527,129529,129533,129539,129553,129581,129587,129589,129593,129607,129629,129631,129641,129643,129671,129707,129719,129733,129737,129749,129757,129763,129769,129793,129803,129841,129853,129887,129893,129901,129917,129919,129937,129953,129959,129967,129971,130003,130021,130027,130043,130051,130057,130069,130073,130079,130087,130099,130121,130127,130147,130171,130183,130199,130201,130211,130223,130241,130253,130259,130261,130267,130279,130303,130307,130337,130343,130349,130363,130367,130369,130379,130399,130409,130411,130423,130439,130447,130457,130469,130477,130483,130489,130513,130517,130523,130531,130547,130553,130579,130589,130619,130621,130631,130633,130639,130643,130649,130651,130657,130681,130687,130693,130699,130729,130769,130783,130787,130807,130811,130817,130829,130841,130843,130859,130873,130927,130957,130969,130973,130981,130987,131009,131011,131023,131041,131059,131063,131071,131101,131111,131113,131129,131143,131149,131171,131203,131213,131221,131231,131249,131251,131267,131293,131297,131303,131311,131317,131321,131357,131363,131371,131381,131413,131431,131437,131441,131447,131449,131477,131479,131489,131497,131501,131507,131519,131543,131561,131581,131591,131611,131617,131627,131639,131641,131671,131687,131701,131707,131711,131713,131731,131743,131749,131759,131771,131777,131779,131783,131797,131837,131839,131849,131861,131891,131893,131899,131909,131927,131933,131939,131941,131947,131959,131969,132001,132019,132047,132049,132059,132071,132103,132109,132113,132137,132151,132157,132169,132173,132199,132229,132233,132241,132247,132257,132263,132283,132287,132299,132313,132329,132331,132347,132361,132367,132371,132383,132403,132409,132421,132437,132439,132469,132491,132499,132511,132523,132527,132529,132533,132541,132547,132589,132607,132611,132619,132623,132631,132637,132647,132661,132667,132679,132689,132697,132701,132707,132709,132721,132739,132749,132751,132757,132761,132763,132817,132833,132851,132857,132859,132863,132887,132893,132911,132929,132947,132949,132953,132961,132967,132971,132989,133013,133033,133039,133051,133069,133073,133087,133097,133103,133109,133117,133121,133153,133157,133169,133183,133187,133201,133213,133241,133253,133261,133271,133277,133279,133283,133303,133319,133321,133327,133337,133349,133351,133379,133387,133391,133403,133417,133439,133447,133451,133481,133493,133499,133519,133541,133543,133559,133571,133583,133597,133631,133633,133649,133657,133669,133673,133691,133697,133709,133711,133717,133723,133733,133769,133781,133801,133811,133813,133831,133843,133853,133873,133877,133919,133949,133963,133967,133979,133981,133993,133999,134033,134039,134047,134053,134059,134077,134081,134087,134089,134093,134129,134153,134161,134171,134177,134191,134207,134213,134219,134227,134243,134257,134263,134269,134287,134291,134293,134327,134333,134339,134341,134353,134359,134363,134369,134371,134399,134401,134417,134437,134443,134471,134489,134503,134507,134513,134581,134587,134591,134593,134597,134609,134639,134669,134677,134681,134683,134699,134707,134731,134741,134753,134777,134789,134807,134837,134839,134851,134857,134867,134873,134887,134909,134917,134921,134923,134947,134951,134989,134999,135007,135017,135019,135029,135043,135049,135059,135077,135089,135101,135119,135131,135151,135173,135181,135193,135197,135209,135211,135221,135241,135257,135271,135277,135281,135283,135301,135319,135329,135347,135349,135353,135367,135389,135391,135403,135409,135427,135431,135433,135449,135461,135463,135467,135469,135479,135497,135511,135533,135559,135571,135581,135589,135593,135599,135601,135607,135613,135617,135623,135637,135647,135649,135661,135671,135697,135701,135719,135721,135727,135731,135743,135757,135781,135787,135799,135829,135841,135851,135859,135887,135893,135899,135911,135913,135929,135937,135977,135979,136013,136027,136033,136043,136057,136067,136069,136093,136099,136111,136133,136139,136163,136177,136189,136193,136207,136217,136223,136237,136247,136261,136273,136277,136303,136309,136319,136327,136333,136337,136343,136351,136361,136373,136379,136393,136397,136399,136403,136417,136421,136429,136447,136453,136463,136471,136481,136483,136501,136511,136519,136523,136531,136537,136541,136547,136559,136573,136601,136603,136607,136621,136649,136651,136657,136691,136693,136709,136711,136727,136733,136739,136751,136753,136769,136777,136811,136813,136841,136849,136859,136861,136879,136883,136889,136897,136943,136949,136951,136963,136973,136979,136987,136991,136993,136999,137029,137077,137087,137089,137117,137119,137131,137143,137147,137153,137177,137183,137191,137197,137201,137209,137219,137239,137251,137273,137279,137303,137321,137339,137341,137353,137359,137363,137369,137383,137387,137393,137399,137413,137437,137443,137447,137453,137477,137483,137491,137507,137519,137537,137567,137573,137587,137593,137597,137623,137633,137639,137653,137659,137699,137707,137713,137723,137737,137743,137771,137777,137791,137803,137827,137831,137849,137867,137869,137873,137909,137911,137927,137933,137941,137947,137957,137983,137993,137999,138007,138041,138053,138059,138071,138077,138079,138101,138107,138113,138139,138143,138157,138163,138179,138181,138191,138197,138209,138239,138241,138247,138251,138283,138289,138311,138319,138323,138337,138349,138371,138373,138389,138401,138403,138407,138427,138433,138449,138451,138461,138469,138493,138497,138511,138517,138547,138559,138563,138569,138571,138577,138581,138587,138599,138617,138629,138637,138641,138647,138661,138679,138683,138727,138731,138739,138763,138793,138797,138799,138821,138829,138841,138863,138869,138883,138889,138893,138899,138917,138923,138937,138959,138967,138977,139021,139033,139067,139079,139091,139109,139121,139123,139133,139169,139177,139187,139199,139201,139241,139267,139273,139291,139297,139301,139303,139309,139313,139333,139339,139343,139361,139367,139369,139387,139393,139397,139409,139423,139429,139439,139457,139459,139483,139487,139493,139501,139511,139537,139547,139571,139589,139591,139597,139609,139619,139627,139661,139663,139681,139697,139703,139709,139721,139729,139739,139747,139753,139759,139787,139801,139813,139831,139837,139861,139871,139883,139891,139901,139907,139921,139939,139943,139967,139969,139981,139987,139991,139999,140009,140053,140057,140069,140071,140111,140123,140143,140159,140167,140171,140177,140191,140197,140207,140221,140227,140237,140249,140263,140269,140281,140297,140317,140321,140333,140339,140351,140363,140381,140401,140407,140411,140417,140419,140423,140443,140449,140453,140473,140477,140521,140527,140533,140549,140551,140557,140587,140593,140603,140611,140617,140627,140629,140639,140659,140663,140677,140681,140683,140689,140717,140729,140731,140741,140759,140761,140773,140779,140797,140813,140827,140831,140837,140839,140863,140867,140869,140891,140893,140897,140909,140929,140939,140977,140983,140989,141023,141041,141061,141067,141073,141079,141101,141107,141121,141131,141157,141161,141179,141181,141199,141209,141221,141223,141233,141241,141257,141263,141269,141277,141283,141301,141307,141311,141319,141353,141359,141371,141397,141403,141413,141439,141443,141461,141481,141497,141499,141509,141511,141529,141539,141551,141587,141601,141613,141619,141623,141629,141637,141649,141653,141667,141671,141677,141679,141689,141697,141707,141709,141719,141731,141761,141767,141769,141773,141793,141803,141811,141829,141833,141851,141853,141863,141871,141907,141917,141931,141937,141941,141959,141961,141971,141991,142007,142019,142031,142039,142049,142057,142061,142067,142097,142099,142111,142123,142151,142157,142159,142169,142183,142189,142193,142211,142217,142223,142231,142237,142271,142297,142319,142327,142357,142369,142381,142391,142403,142421,142427,142433,142453,142469,142501,142529,142537,142543,142547,142553,142559,142567,142573,142589,142591,142601,142607,142609,142619,142657,142673,142697,142699,142711,142733,142757,142759,142771,142787,142789,142799,142811,142837,142841,142867,142871,142873,142897,142903,142907,142939,142949,142963,142969,142973,142979,142981,142993,143053,143063,143093,143107,143111,143113,143137,143141,143159,143177,143197,143239,143243,143249,143257,143261,143263,143281,143287,143291,143329,143333,143357,143387,143401,143413,143419,143443,143461,143467,143477,143483,143489,143501,143503,143509,143513,143519,143527,143537,143551,143567,143569,143573,143593,143609,143617,143629,143651,143653,143669,143677,143687,143699,143711,143719,143729,143743,143779,143791,143797,143807,143813,143821,143827,143831,143833,143873,143879,143881,143909,143947,143953,143971,143977,143981,143999,144013,144031,144037,144061,144071,144073,144103,144139,144161,144163,144167,144169,144173,144203,144223,144241,144247,144253,144259,144271,144289,144299,144307,144311,144323,144341,144349,144379,144383,144407,144409,144413,144427,144439,144451,144461,144479,144481,144497,144511,144539,144541,144563,144569,144577,144583,144589,144593,144611,144629,144659,144667,144671,144701,144709,144719,144731,144737,144751,144757,144763,144773,144779,144791,144817,144829,144839,144847,144883,144887,144889,144899,144917,144931,144941,144961,144967,144973,144983,145007,145009,145021,145031,145037,145043,145063,145069,145091,145109,145121,145133,145139,145177,145193,145207,145213,145219,145253,145259,145267,145283,145289,145303,145307,145349,145361,145381,145391,145399,145417,145423,145433,145441,145451,145459,145463,145471,145477,145487,145501,145511,145513,145517,145531,145543,145547,145549,145577,145589,145601,145603,145633,145637,145643,145661,145679,145681,145687,145703,145709,145721,145723,145753,145757,145759,145771,145777,145799,145807,145819,145823,145829,145861,145879,145897,145903,145931,145933,145949,145963,145967,145969,145987,145991,146009,146011,146021,146023,146033,146051,146057,146059,146063,146077,146093,146099,146117,146141,146161,146173,146191,146197,146203,146213,146221,146239,146249,146273,146291,146297,146299,146309,146317,146323,146347,146359,146369,146381,146383,146389,146407,146417,146423,146437,146449,146477,146513,146519,146521,146527,146539,146543,146563,146581,146603,146609,146617,146639,146647,146669,146677,146681,146683,146701,146719,146743,146749,146767,146777,146801,146807,146819,146833,146837,146843,146849,146857,146891,146893,146917,146921,146933,146941,146953,146977,146983,146987,146989,147011,147029,147031,147047,147073,147083,147089,147097,147107,147137,147139,147151,147163,147179,147197,147209,147211,147221,147227,147229,147253,147263,147283,147289,147293,147299,147311,147319,147331,147341,147347,147353,147377,147391,147397,147401,147409,147419,147449,147451,147457,147481,147487,147503,147517,147541,147547,147551,147557,147571,147583,147607,147613,147617,147629,147647,147661,147671,147673,147689,147703,147709,147727,147739,147743,147761,147769,147773,147779,147787,147793,147799,147811,147827,147853,147859,147863,147881,147919,147937,147949,147977,147997,148013,148021,148061,148063,148073,148079,148091,148123,148139,148147,148151,148153,148157,148171,148193,148199,148201,148207,148229,148243,148249,148279,148301,148303,148331,148339,148361,148367,148381,148387,148399,148403,148411,148429,148439,148457,148469,148471,148483,148501,148513,148517,148531,148537,148549,148573,148579,148609,148627,148633,148639,148663,148667,148669,148691,148693,148711,148721,148723,148727,148747,148763,148781,148783,148793,148817,148829,148853,148859,148861,148867,148873,148891,148913,148921,148927,148931,148933,148949,148957,148961,148991,148997,149011,149021,149027,149033,149053,149057,149059,149069,149077,149087,149099,149101,149111,149113,149119,149143,149153,149159,149161,149173,149183,149197,149213,149239,149249,149251,149257,149269,149287,149297,149309,149323,149333,149341,149351,149371,149377,149381,149393,149399,149411,149417,149419,149423,149441,149459,149489,149491,149497,149503,149519,149521,149531,149533,149543,149551,149561,149563,149579,149603,149623,149627,149629,149689,149711,149713,149717,149729,149731,149749,149759,149767,149771,149791,149803,149827,149837,149839,149861,149867,149873,149893,149899,149909,149911,149921,149939,149953,149969,149971,149993,150001,150011,150041,150053,150061,150067,150077,150083,150089,150091,150097,150107,150131,150151,150169,150193,150197,150203,150209,150211,150217,150221,150223,150239,150247,150287,150299,150301,150323,150329,150343,150373,150377,150379,150383,150401,150407,150413,150427,150431,150439,150473,150497,150503,150517,150523,150533,150551,150559,150571,150583,150587,150589,150607,150611,150617,150649,150659,150697,150707,150721,150743,150767,150769,150779,150791,150797,150827,150833,150847,150869,150881,150883,150889,150893,150901,150907,150919,150929,150959,150961,150967,150979,150989,150991,151007,151009,151013,151027,151049,151051,151057,151091,151121,151141,151153,151157,151163,151169,151171,151189,151201,151213,151237,151241,151243,151247,151253,151273,151279,151289,151303,151337,151339,151343,151357,151379,151381,151391,151397,151423,151429,151433,151451,151471,151477,151483,151499,151507,151517,151523,151531,151537,151549,151553,151561,151573,151579,151597,151603,151607,151609,151631,151637,151643,151651,151667,151673,151681,151687,151693,151703,151717,151729,151733,151769,151771,151783,151787,151799,151813,151817,151841,151847,151849,151871,151883,151897,151901,151903,151909,151937,151939,151967,151969,152003,152017,152027,152029,152039,152041,152063,152077,152081,152083,152093,152111,152123,152147,152183,152189,152197,152203,152213,152219,152231,152239,152249,152267,152287,152293,152297,152311,152363,152377,152381,152389,152393,152407,152417,152419,152423,152429,152441,152443,152459,152461,152501,152519,152531,152533,152539,152563,152567,152597,152599,152617,152623,152629,152639,152641,152657,152671,152681,152717,152723,152729,152753,152767,152777,152783,152791,152809,152819,152821,152833,152837,152839,152843,152851,152857,152879,152897,152899,152909,152939,152941,152947,152953,152959,152981,152989,152993,153001,153059,153067,153071,153073,153077,153089,153107,153113,153133,153137,153151,153191,153247,153259,153269,153271,153277,153281,153287,153313,153319,153337,153343,153353,153359,153371,153379,153407,153409,153421,153427,153437,153443,153449,153457,153469,153487,153499,153509,153511,153521,153523,153529,153533,153557,153563,153589,153607,153611,153623,153641,153649,153689,153701,153719,153733,153739,153743,153749,153757,153763,153817,153841,153871,153877,153887,153889,153911,153913,153929,153941,153947,153949,153953,153991,153997,154001,154027,154043,154057,154061,154067,154073,154079,154081,154087,154097,154111,154127,154153,154157,154159,154181,154183,154211,154213,154229,154243,154247,154267,154277,154279,154291,154303,154313,154321,154333,154339,154351,154369,154373,154387,154409,154417,154423,154439,154459,154487,154493,154501,154523,154543,154571,154573,154579,154589,154591,154613,154619,154621,154643,154667,154669,154681,154691,154699,154723,154727,154733,154747,154753,154769,154787,154789,154799,154807,154823,154841,154849,154871,154873,154877,154883,154897,154927,154933,154937,154943,154981,154991,155003,155009,155017,155027,155047,155069,155081,155083,155087,155119,155137,155153,155161,155167,155171,155191,155201,155203,155209,155219,155231,155251,155269,155291,155299,155303,155317,155327,155333,155371,155377,155381,155383,155387,155399,155413,155423,155443,155453,155461,155473,155501,155509,155521,155537,155539,155557,155569,155579,155581,155593,155599,155609,155621,155627,155653,155657,155663,155671,155689,155693,155699,155707,155717,155719,155723,155731,155741,155747,155773,155777,155783,155797,155801,155809,155821,155833,155849,155851,155861,155863,155887,155891,155893,155921,156007,156011,156019,156041,156059,156061,156071,156089,156109,156119,156127,156131,156139,156151,156157,156217,156227,156229,156241,156253,156257,156259,156269,156307,156319,156329,156347,156353,156361,156371,156419,156421,156437,156467,156487,156491,156493,156511,156521,156539,156577,156589,156593,156601,156619,156623,156631,156641,156659,156671,156677,156679,156683,156691,156703,156707,156719,156727,156733,156749,156781,156797,156799,156817,156823,156833,156841,156887,156899,156901,156913,156941,156943,156967,156971,156979,157007,157013,157019,157037,157049,157051,157057,157061,157081,157103,157109,157127,157133,157141,157163,157177,157181,157189,157207,157211,157217,157219,157229,157231,157243,157247,157253,157259,157271,157273,157277,157279,157291,157303,157307,157321,157327,157349,157351,157363,157393,157411,157427,157429,157433,157457,157477,157483,157489,157513,157519,157523,157543,157559,157561,157571,157579,157627,157637,157639,157649,157667,157669,157679,157721,157733,157739,157747,157769,157771,157793,157799,157813,157823,157831,157837,157841,157867,157877,157889,157897,157901,157907,157931,157933,157951,157991,157999,158003,158009,158017,158029,158047,158071,158077,158113,158129,158141,158143,158161,158189,158201,158209,158227,158231,158233,158243,158261,158269,158293,158303,158329,158341,158351,158357,158359,158363,158371,158393,158407,158419,158429,158443,158449,158489,158507,158519,158527,158537,158551,158563,158567,158573,158581,158591,158597,158611,158617,158621,158633,158647,158657,158663,158699,158731,158747,158749,158759,158761,158771,158777,158791,158803,158843,158849,158863,158867,158881,158909,158923,158927,158941,158959,158981,158993,159013,159017,159023,159059,159073,159079,159097,159113,159119,159157,159161,159167,159169,159179,159191,159193,159199,159209,159223,159227,159233,159287,159293,159311,159319,159337,159347,159349,159361,159389,159403,159407,159421,159431,159437,159457,159463,159469,159473,159491,159499,159503,159521,159539,159541,159553,159563,159569,159571,159589,159617,159623,159629,159631,159667,159671,159673,159683,159697,159701,159707,159721,159737,159739,159763,159769,159773,159779,159787,159791,159793,159799,159811,159833,159839,159853,159857,159869,159871,159899,159911,159931,159937,159977,159979,160001,160009,160019,160031,160033,160049,160073,160079,160081,160087,160091,160093,160117,160141,160159,160163,160169,160183,160201,160207,160217,160231,160243,160253,160309,160313,160319,160343,160357,160367,160373,160387,160397,160403,160409,160423,160441,160453,160481,160483,160499,160507,160541,160553,160579,160583,160591,160603,160619,160621,160627,160637,160639,160649,160651,160663,160669,160681,160687,160697,160709,160711,160723,160739,160751,160753,160757,160781,160789,160807,160813,160817,160829,160841,160861,160877,160879,160883,160903,160907,160933,160967,160969,160981,160997,161009,161017,161033,161039,161047,161053,161059,161071,161087,161093,161123,161137,161141,161149,161159,161167,161201,161221,161233,161237,161263,161267,161281,161303,161309,161323,161333,161339,161341,161363,161377,161387,161407,161411,161453,161459,161461,161471,161503,161507,161521,161527,161531,161543,161561,161563,161569,161573,161591,161599,161611,161627,161639,161641,161659,161683,161717,161729,161731,161741,161743,161753,161761,161771,161773,161779,161783,161807,161831,161839,161869,161873,161879,161881,161911,161921,161923,161947,161957,161969,161971,161977,161983,161999,162007,162011,162017,162053,162059,162079,162091,162109,162119,162143,162209,162221,162229,162251,162257,162263,162269,162277,162287,162289,162293,162343,162359,162389,162391,162413,162419,162439,162451,162457,162473,162493,162499,162517,162523,162527,162529,162553,162557,162563,162577,162593,162601,162611,162623,162629,162641,162649,162671,162677,162683,162691,162703,162709,162713,162727,162731,162739,162749,162751,162779,162787,162791,162821,162823,162829,162839,162847,162853,162859,162881,162889,162901,162907,162917,162937,162947,162971,162973,162989,162997,163003,163019,163021,163027,163061,163063,163109,163117,163127,163129,163147,163151,163169,163171,163181,163193,163199,163211,163223,163243,163249,163259,163307,163309,163321,163327,163337,163351,163363,163367,163393,163403,163409,163411,163417,163433,163469,163477,163481,163483,163487,163517,163543,163561,163567,163573,163601,163613,163621,163627,163633,163637,163643,163661,163673,163679,163697,163729,163733,163741,163753,163771,163781,163789,163811,163819,163841,163847,163853,163859,163861,163871,163883,163901,163909,163927,163973,163979,163981,163987,163991,163993,163997,164011,164023,164039,164051,164057,164071,164089,164093,164113,164117,164147,164149,164173,164183,164191,164201,164209,164231,164233,164239,164249,164251,164267,164279,164291,164299,164309,164321,164341,164357,164363,164371,164377,164387,164413,164419,164429,164431,164443,164447,164449,164471,164477,164503,164513,164531,164569,164581,164587,164599,164617,164621,164623,164627,164653,164663,164677,164683,164701,164707,164729,164743,164767,164771,164789,164809,164821,164831,164837,164839,164881,164893,164911,164953,164963,164987,164999,165001,165037,165041,165047,165049,165059,165079,165083,165089,165103,165133,165161,165173,165181,165203,165211,165229,165233,165247,165287,165293,165311,165313,165317,165331,165343,165349,165367,165379,165383,165391,165397,165437,165443,165449,165457,165463,165469,165479,165511,165523,165527,165533,165541,165551,165553,165559,165569,165587,165589,165601,165611,165617,165653,165667,165673,165701,165703,165707,165709,165713,165719,165721,165749,165779,165799,165811,165817,165829,165833,165857,165877,165883,165887,165901,165931,165941,165947,165961,165983,166013,166021,166027,166031,166043,166063,166081,166099,166147,166151,166157,166169,166183,166189,166207,166219,166237,166247,166259,166273,166289,166297,166301,166303,166319,166349,166351,166357,166363,166393,166399,166403,166409,166417,166429,166457,166471,166487,166541,166561,166567,166571,166597,166601,166603,166609,166613,166619,166627,166631,166643,166657,166667,166669,166679,166693,166703,166723,166739,166741,166781,166783,166799,166807,166823,166841,166843,166847,166849,166853,166861,166867,166871,166909,166919,166931,166949,166967,166973,166979,166987,167009,167017,167021,167023,167033,167039,167047,167051,167071,167077,167081,167087,167099,167107,167113,167117,167119,167149,167159,167173,167177,167191,167197,167213,167221,167249,167261,167267,167269,167309,167311,167317,167329,167339,167341,167381,167393,167407,167413,167423,167429,167437,167441,167443,167449,167471,167483,167491,167521,167537,167543,167593,167597,167611,167621,167623,167627,167633,167641,167663,167677,167683,167711,167729,167747,167759,167771,167777,167779,167801,167809,167861,167863,167873,167879,167887,167891,167899,167911,167917,167953,167971,167987,168013,168023,168029,168037,168043,168067,168071,168083,168089,168109,168127,168143,168151,168193,168197,168211,168227,168247,168253,168263,168269,168277,168281,168293,168323,168331,168347,168353,168391,168409,168433,168449,168451,168457,168463,168481,168491,168499,168523,168527,168533,168541,168559,168599,168601,168617,168629,168631,168643,168673,168677,168697,168713,168719,168731,168737,168743,168761,168769,168781,168803,168851,168863,168869,168887,168893,168899,168901,168913,168937,168943,168977,168991,169003,169007,169009,169019,169049,169063,169067,169069,169079,169093,169097,169111,169129,169151,169159,169177,169181,169199,169217,169219,169241,169243,169249,169259,169283,169307,169313,169319,169321,169327,169339,169343,169361,169369,169373,169399,169409,169427,169457,169471,169483,169489,169493,169501,169523,169531,169553,169567,169583,169591,169607,169627,169633,169639,169649,169657,169661,169667,169681,169691,169693,169709,169733,169751,169753,169769,169777,169783,169789,169817,169823,169831,169837,169843,169859,169889,169891,169909,169913,169919,169933,169937,169943,169951,169957,169987,169991,170003,170021,170029,170047,170057,170063,170081,170099,170101,170111,170123,170141,170167,170179,170189,170197,170207,170213,170227,170231,170239,170243,170249,170263,170267,170279,170293,170299,170327,170341,170347,170351,170353,170363,170369,170371,170383,170389,170393,170413,170441,170447,170473,170483,170497,170503,170509,170537,170539,170551,170557,170579,170603,170609,170627,170633,170641,170647,170669,170689,170701,170707,170711,170741,170749,170759,170761,170767,170773,170777,170801,170809,170813,170827,170837,170843,170851,170857,170873,170881,170887,170899,170921,170927,170953,170957,170971,171007,171023,171029,171043,171047,171049,171053,171077,171079,171091,171103,171131,171161,171163,171167,171169,171179,171203,171233,171251,171253,171263,171271,171293,171299,171317,171329,171341,171383,171401,171403,171427,171439,171449,171467,171469,171473,171481,171491,171517,171529,171539,171541,171553,171559,171571,171583,171617,171629,171637,171641,171653,171659,171671,171673,171679,171697,171707,171713,171719,171733,171757,171761,171763,171793,171799,171803,171811,171823,171827,171851,171863,171869,171877,171881,171889,171917,171923,171929,171937,171947,172001,172009,172021,172027,172031,172049,172069,172079,172093,172097,172127,172147,172153,172157,172169,172171,172181,172199,172213,172217,172219,172223,172243,172259,172279,172283,172297,172307,172313,172321,172331,172343,172351,172357,172373,172399,172411,172421,172423,172427,172433,172439,172441,172489,172507,172517,172519,172541,172553,172561,172573,172583,172589,172597,172603,172607,172619,172633,172643,172649,172657,172663,172673,172681,172687,172709,172717,172721,172741,172751,172759,172787,172801,172807,172829,172849,172853,172859,172867,172871,172877,172883,172933,172969,172973,172981,172987,172993,172999,173021,173023,173039,173053,173059,173081,173087,173099,173137,173141,173149,173177,173183,173189,173191,173207,173209,173219,173249,173263,173267,173273,173291,173293,173297,173309,173347,173357,173359,173429,173431,173473,173483,173491,173497,173501,173531,173539,173543,173549,173561,173573,173599,173617,173629,173647,173651,173659,173669,173671,173683,173687,173699,173707,173713,173729,173741,173743,173773,173777,173779,173783,173807,173819,173827,173839,173851,173861,173867,173891,173897,173909,173917,173923,173933,173969,173977,173981,173993,174007,174017,174019,174047,174049,174061,174067,174071,174077,174079,174091,174101,174121,174137,174143,174149,174157,174169,174197,174221,174241,174257,174259,174263,174281,174289,174299,174311,174329,174331,174337,174347,174367,174389,174407,174413,174431,174443,174457,174467,174469,174481,174487,174491,174527,174533,174569,174571,174583,174599,174613,174617,174631,174637,174649,174653,174659,174673,174679,174703,174721,174737,174749,174761,174763,174767,174773,174799,174821,174829,174851,174859,174877,174893,174901,174907,174917,174929,174931,174943,174959,174989,174991,175003,175013,175039,175061,175067,175069,175079,175081,175103,175129,175141,175211,175229,175261,175267,175277,175291,175303,175309,175327,175333,175349,175361,175391,175393,175403,175411,175433,175447,175453,175463,175481,175493,175499,175519,175523,175543,175573,175601,175621,175631,175633,175649,175663,175673,175687,175691,175699,175709,175723,175727,175753,175757,175759,175781,175783,175811,175829,175837,175843,175853,175859,175873,175891,175897,175909,175919,175937,175939,175949,175961,175963,175979,175991,175993,176017,176021,176023,176041,176047,176051,176053,176063,176081,176087,176089,176123,176129,176153,176159,176161,176179,176191,176201,176207,176213,176221,176227,176237,176243,176261,176299,176303,176317,176321,176327,176329,176333,176347,176353,176357,176369,176383,176389,176401,176413,176417,176419,176431,176459,176461,176467,176489,176497,176503,176507,176509,176521,176531,176537,176549,176551,176557,176573,176591,176597,176599,176609,176611,176629,176641,176651,176677,176699,176711,176713,176741,176747,176753,176777,176779,176789,176791,176797,176807,176809,176819,176849,176857,176887,176899,176903,176921,176923,176927,176933,176951,176977,176983,176989,177007,177011,177013,177019,177043,177091,177101,177109,177113,177127,177131,177167,177173,177209,177211,177217,177223,177239,177257,177269,177283,177301,177319,177323,177337,177347,177379,177383,177409,177421,177427,177431,177433,177467,177473,177481,177487,177493,177511,177533,177539,177553,177589,177601,177623,177647,177677,177679,177691,177739,177743,177761,177763,177787,177791,177797,177811,177823,177839,177841,177883,177887,177889,177893,177907,177913,177917,177929,177943,177949,177953,177967,177979,178001,178021,178037,178039,178067,178069,178091,178093,178103,178117,178127,178141,178151,178169,178183,178187,178207,178223,178231,178247,178249,178259,178261,178289,178301,178307,178327,178333,178349,178351,178361,178393,178397,178403,178417,178439,178441,178447,178469,178481,178487,178489,178501,178513,178531,178537,178559,178561,178567,178571,178597,178601,178603,178609,178613,178621,178627,178639,178643,178681,178691,178693,178697,178753,178757,178781,178793,178799,178807,178813,178817,178819,178831,178853,178859,178873,178877,178889,178897,178903,178907,178909,178921,178931,178933,178939,178951,178973,178987,179021,179029,179033,179041,179051,179057,179083,179089,179099,179107,179111,179119,179143,179161,179167,179173,179203,179209,179213,179233,179243,179261,179269,179281,179287,179317,179321,179327,179351,179357,179369,179381,179383,179393,179407,179411,179429,179437,179441,179453,179461,179471,179479,179483,179497,179519,179527,179533,179549,179563,179573,179579,179581,179591,179593,179603,179623,179633,179651,179657,179659,179671,179687,179689,179693,179717,179719,179737,179743,179749,179779,179801,179807,179813,179819,179821,179827,179833,179849,179897,179899,179903,179909,179917,179923,179939,179947,179951,179953,179957,179969,179981,179989,179999,180001,180007,180023,180043,180053,180071,180073,180077,180097,180137,180161,180179,180181,180211,180221,180233,180239,180241,180247,180259,180263,180281,180287,180289,180307,180311,180317,180331,180337,180347,180361,180371,180379,180391,180413,180419,180437,180463,180473,180491,180497,180503,180511,180533,180539,180541,180547,180563,180569,180617,180623,180629,180647,180667,180679,180701,180731,180749,180751,180773,180779,180793,180797,180799,180811,180847,180871,180883,180907,180949,180959,181001,181003,181019,181031,181039,181061,181063,181081,181087,181123,181141,181157,181183,181193,181199,181201,181211,181213,181219,181243,181253,181273,181277,181283,181297,181301,181303,181361,181387,181397,181399,181409,181421,181439,181457,181459,181499,181501,181513,181523,181537,181549,181553,181603,181607,181609,181619,181639,181667,181669,181693,181711,181717,181721,181729,181739,181751,181757,181759,181763,181777,181787,181789,181813,181837,181871,181873,181889,181891,181903,181913,181919,181927,181931,181943,181957,181967,181981,181997,182009,182011,182027,182029,182041,182047,182057,182059,182089,182099,182101,182107,182111,182123,182129,182131,182141,182159,182167,182177,182179,182201,182209,182233,182239,182243,182261,182279,182297,182309,182333,182339,182341,182353,182387,182389,182417,182423,182431,182443,182453,182467,182471,182473,182489,182503,182509,182519,182537,182549,182561,182579,182587,182593,182599,182603,182617,182627,182639,182641,182653,182657,182659,182681,182687,182701,182711,182713,182747,182773,182779,182789,182803,182813,182821,182839,182851,182857,182867,182887,182893,182899,182921,182927,182929,182933,182953,182957,182969,182981,182999,183023,183037,183041,183047,183059,183067,183089,183091,183119,183151,183167,183191,183203,183247,183259,183263,183283,183289,183299,183301,183307,183317,183319,183329,183343,183349,183361,183373,183377,183383,183389,183397,183437,183439,183451,183461,183473,183479,183487,183497,183499,183503,183509,183511,183523,183527,183569,183571,183577,183581,183587,183593,183611,183637,183661,183683,183691,183697,183707,183709,183713,183761,183763,183797,183809,183823,183829,183871,183877,183881,183907,183917,183919,183943,183949,183959,183971,183973,183979,184003,184007,184013,184031,184039,184043,184057,184073,184081,184087,184111,184117,184133,184153,184157,184181,184187,184189,184199,184211,184231,184241,184259,184271,184273,184279,184291,184309,184321,184333,184337,184351,184369,184409,184417,184441,184447,184463,184477,184487,184489,184511,184517,184523,184553,184559,184567,184571,184577,184607,184609,184627,184631,184633,184649,184651,184669,184687,184693,184703,184711,184721,184727,184733,184753,184777,184823,184829,184831,184837,184843,184859,184879,184901,184903,184913,184949,184957,184967,184969,184993,184997,184999,185021,185027,185051,185057,185063,185069,185071,185077,185089,185099,185123,185131,185137,185149,185153,185161,185167,185177,185183,185189,185221,185233,185243,185267,185291,185299,185303,185309,185323,185327,185359,185363,185369,185371,185401,185429,185441,185467,185477,185483,185491,185519,185527,185531,185533,185539,185543,185551,185557,185567,185569,185593,185599,185621,185641,185651,185677,185681,185683,185693,185699,185707,185711,185723,185737,185747,185749,185753,185767,185789,185797,185813,185819,185821,185831,185833,185849,185869,185873,185893,185897,185903,185917,185923,185947,185951,185957,185959,185971,185987,185993,186007,186013,186019,186023,186037,186041,186049,186071,186097,186103,186107,186113,186119,186149,186157,186161,186163,186187,186191,186211,186227,186229,186239,186247,186253,186259,186271,186283,186299,186301,186311,186317,186343,186377,186379,186391,186397,186419,186437,186451,186469,186479,186481,186551,186569,186581,186583,186587,186601,186619,186629,186647,186649,186653,186671,186679,186689,186701,186707,186709,186727,186733,186743,186757,186761,186763,186773,186793,186799,186841,186859,186869,186871,186877,186883,186889,186917,186947,186959,187003,187009,187027,187043,187049,187067,187069,187073,187081,187091,187111,187123,187127,187129,187133,187139,187141,187163,187171,187177,187181,187189,187193,187211,187217,187219,187223,187237,187273,187277,187303,187337,187339,187349,187361,187367,187373,187379,187387,187393,187409,187417,187423,187433,187441,187463,187469,187471,187477,187507,187513,187531,187547,187559,187573,187597,187631,187633,187637,187639,187651,187661,187669,187687,187699,187711,187721,187751,187763,187787,187793,187823,187843,187861,187871,187877,187883,187897,187907,187909,187921,187927,187931,187951,187963,187973,187987,188011,188017,188021,188029,188107,188137,188143,188147,188159,188171,188179,188189,188197,188249,188261,188273,188281,188291,188299,188303,188311,188317,188323,188333,188351,188359,188369,188389,188401,188407,188417,188431,188437,188443,188459,188473,188483,188491,188519,188527,188533,188563,188579,188603,188609,188621,188633,188653,188677,188681,188687,188693,188701,188707,188711,188719,188729,188753,188767,188779,188791,188801,188827,188831,188833,188843,188857,188861,188863,188869,188891,188911,188927,188933,188939,188941,188953,188957,188983,188999,189011,189017,189019,189041,189043,189061,189067,189127,189139,189149,189151,189169,189187,189199,189223,189229,189239,189251,189253,189257,189271,189307,189311,189337,189347,189349,189353,189361,189377,189389,189391,189401,189407,189421,189433,189437,189439,189463,189467,189473,189479,189491,189493,189509,189517,189523,189529,189547,189559,189583,189593,189599,189613,189617,189619,189643,189653,189661,189671,189691,189697,189701,189713,189733,189743,189757,189767,189797,189799,189817,189823,189851,189853,189859,189877,189881,189887,189901,189913,189929,189947,189949,189961,189967,189977,189983,189989,189997,190027,190031,190051,190063,190093,190097,190121,190129,190147,190159,190181,190207,190243,190249,190261,190271,190283,190297,190301,190313,190321,190331,190339,190357,190367,190369,190387,190391,190403,190409,190471,190507,190523,190529,190537,190543,190573,190577,190579,190583,190591,190607,190613,190633,190639,190649,190657,190667,190669,190699,190709,190711,190717,190753,190759,190763,190769,190783,190787,190793,190807,190811,190823,190829,190837,190843,190871,190889,190891,190901,190909,190913,190921,190979,190997,191021,191027,191033,191039,191047,191057,191071,191089,191099,191119,191123,191137,191141,191143,191161,191173,191189,191227,191231,191237,191249,191251,191281,191297,191299,191339,191341,191353,191413,191441,191447,191449,191453,191459,191461,191467,191473,191491,191497,191507,191509,191519,191531,191533,191537,191551,191561,191563,191579,191599,191621,191627,191657,191669,191671,191677,191689,191693,191699,191707,191717,191747,191749,191773,191783,191791,191801,191803,191827,191831,191833,191837,191861,191899,191903,191911,191929,191953,191969,191977,191999,192007,192013,192029,192037,192043,192047,192053,192091,192097,192103,192113,192121,192133,192149,192161,192173,192187,192191,192193,192229,192233,192239,192251,192259,192263,192271,192307,192317,192319,192323,192341,192343,192347,192373,192377,192383,192391,192407,192431,192461,192463,192497,192499,192529,192539,192547,192553,192557,192571,192581,192583,192587,192601,192611,192613,192617,192629,192631,192637,192667,192677,192697,192737,192743,192749,192757,192767,192781,192791,192799,192811,192817,192833,192847,192853,192859,192877,192883,192887,192889,192917,192923,192931,192949,192961,192971,192977,192979,192991,193003,193009,193013,193031,193043,193051,193057,193073,193093,193133,193139,193147,193153,193163,193181,193183,193189,193201,193243,193247,193261,193283,193301,193327,193337,193357,193367,193373,193379,193381,193387,193393,193423,193433,193441,193447,193451,193463,193469,193493,193507,193513,193541,193549,193559,193573,193577,193597,193601,193603,193607,193619,193649,193663,193679,193703,193723,193727,193741,193751,193757,193763,193771,193789,193793,193799,193811,193813,193841,193847,193859,193861,193871,193873,193877,193883,193891,193937,193939,193943,193951,193957,193979,193993,194003,194017,194027,194057,194069,194071,194083,194087,194093,194101,194113,194119,194141,194149,194167,194179,194197,194203,194239,194263,194267,194269,194309,194323,194353,194371,194377,194413,194431,194443,194471,194479,194483,194507,194521,194527,194543,194569,194581,194591,194609,194647,194653,194659,194671,194681,194683,194687,194707,194713,194717,194723,194729,194749,194767,194771,194809,194813,194819,194827,194839,194861,194863,194867,194869,194891,194899,194911,194917,194933,194963,194977,194981,194989,195023,195029,195043,195047,195049,195053,195071,195077,195089,195103,195121,195127,195131,195137,195157,195161,195163,195193,195197,195203,195229,195241,195253,195259,195271,195277,195281,195311,195319,195329,195341,195343,195353,195359,195389,195401,195407,195413,195427,195443,195457,195469,195479,195493,195497,195511,195527,195539,195541,195581,195593,195599,195659,195677,195691,195697,195709,195731,195733,195737,195739,195743,195751,195761,195781,195787,195791,195809,195817,195863,195869,195883,195887,195893,195907,195913,195919,195929,195931,195967,195971,195973,195977,195991,195997,196003,196033,196039,196043,196051,196073,196081,196087,196111,196117,196139,196159,196169,196171,196177,196181,196187,196193,196201,196247,196271,196277,196279,196291,196303,196307,196331,196337,196379,196387,196429,196439,196453,196459,196477,196499,196501,196519,196523,196541,196543,196549,196561,196579,196583,196597,196613,196643,196657,196661,196663,196681,196687,196699,196709,196717,196727,196739,196751,196769,196771,196799,196817,196831,196837,196853,196871,196873,196879,196901,196907,196919,196927,196961,196991,196993,197003,197009,197023,197033,197059,197063,197077,197083,197089,197101,197117,197123,197137,197147,197159,197161,197203,197207,197221,197233,197243,197257,197261,197269,197273,197279,197293,197297,197299,197311,197339,197341,197347,197359,197369,197371,197381,197383,197389,197419,197423,197441,197453,197479,197507,197521,197539,197551,197567,197569,197573,197597,197599,197609,197621,197641,197647,197651,197677,197683,197689,197699,197711,197713,197741,197753,197759,197767,197773,197779,197803,197807,197831,197837,197887,197891,197893,197909,197921,197927,197933,197947,197957,197959,197963,197969,197971,198013,198017,198031,198043,198047,198073,198083,198091,198097,198109,198127,198139,198173,198179,198193,198197,198221,198223,198241,198251,198257,198259,198277,198281,198301,198313,198323,198337,198347,198349,198377,198391,198397,198409,198413,198427,198437,198439,198461,198463,198469,198479,198491,198503,198529,198533,198553,198571,198589,198593,198599,198613,198623,198637,198641,198647,198659,198673,198689,198701,198719,198733,198761,198769,198811,198817,198823,198827,198829,198833,198839,198841,198851,198859,198899,198901,198929,198937,198941,198943,198953,198959,198967,198971,198977,198997,199021,199033,199037,199039,199049,199081,199103,199109,199151,199153,199181,199193,199207,199211,199247,199261,199267,199289,199313,199321,199337,199343,199357,199373,199379,199399,199403,199411,199417,199429,199447,199453,199457,199483,199487,199489,199499,199501,199523,199559,199567,199583,199601,199603,199621,199637,199657,199669,199673,199679,199687,199697,199721,199729,199739,199741,199751,199753,199777,199783,199799,199807,199811,199813,199819,199831,199853,199873,199877,199889,199909,199921,199931,199933,199961,199967,199999,200003,200009,200017,200023,200029]
n,k=map(int,input().split())
dlist=[[]for i in range(k+1)]
mod = 10**9+7
num=[0]*(k+1)

idx=0
for i in range(1,k+1):
    num[i]=pow(k//i,n,mod)
    for p in primes:
        p*=i
        if p>k:
            break
        dlist[p].append(i)
for i in range(k,0,-1):
    for d in dlist[i]:
        num[d]=(num[d]-num[i])%mod
    
ans=0
for i,k in enumerate(num):
    ans=(ans+i*k)%mod
print(ans)