Problem:


Score: 300 points

Problem Statement

Find the minimum prime number greater than or equal to X.

Notes

A prime number is an integer greater than 1 that cannot be evenly divided by any positive integer except 1 and itself.

For example, 2, 3, and 5 are prime numbers, while 4 and 6 are not.

Constraints

 2 \le X \le 10^5 

All values in input are integers.

Input

Input is given from Standard Input in the following format:

X

Output

Print the minimum prime number greater than or equal to X.

Sample Input 1

20

Sample Output 1

23

The minimum prime number greater than or equal to 20 is 23.

Sample Input 2

2

Sample Output 2

2

X itself can be a prime number.

Sample Input 3

99992

Sample Output 3

100003



Sample input:
20


Sample output:
23

Submission status: Time Limit Exceeded

Solution code:
x = int(input())
prime_list = []
for n in range(2, 55049):
  is_prime = True
  for m in prime_list:
    if n % m == 0:
      is_prime = False
      break
  if is_prime:
    if x <= n:
      print(n)
      exit(0)
    prime_list.append(n)
bigger_prime_list = [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]
for n in bigger_prime_list:
  if x <= n:
    print(n)
    break