Prime numbers are arranged in a ordered list U$U$, in increasing order. Let S$S$ be a sublist of U$U$ with a unique property that for every element A$A$ belonging to list S$S$, if i$i$ denotes the index of A$A$ in list U$U$, than i$i$ also belongs to list U$U$.
Given N$N$, find sum of first N$N$ elements of list S$S$, assuming 1-based indexing.
As the sum can be very large, print the sum modulo 109+7$10^{9}+7$.

-----Input:-----
-The first line of the input contains a single integer T$T$ denoting the number of test cases.
-Only line of each test case has an integer N$N$ .

-----Output:-----
For each test case, print a single integer denoting the sum of first N$N$ elements of set S$S$ modulo 109+7$10^{9}+7$.

-----Constraints-----
- 1≤T≤10000$1 \leq T \leq 10000$
- 1≤N≤1000$1 \leq N \leq 1000$

-----Subtasks-----
- 
20 points : 
- 
1≤T≤10000$1 \leq T \leq 10000$
- 
1≤N≤10$1 \leq N \leq 10$
- 
20 points :
- 
1≤T≤100$1 \leq T \leq 100$
- 
1≤N≤100$1 \leq N \leq 100$
- 
60 points : Original Constraints

-----Sample Input:-----
2

1
2

-----Sample Output:-----
3
8

-----EXPLANATION:-----
Example case 1: 
First few elements of set S$S$ are  {3,5,11…}  , so sum is 3.
Example case 2: 
Sum is 3+5=8.

Difficulty: UNKNOWN_DIFFICULTY

Starter code:

Solutions:
import math

def prime(aa):
	f = 0
	for y in ar:
		if aa % y == 0:
			return 0
	return 1
ar = []
ar.append(2)
pc = 3
te = int(input())
for _ in range(te):
	a = int(input())
	f = 0
	c = 0
	add = 0
	for x in ar:
		try:
			add = add + ar[x - 1]
		except:
			while True:
				if prime(pc) == 1:
					ar.append(pc)
					if x <= len(ar):
						break
				pc += 1
			pc += 1
			add = add + ar[x - 1]
		c += 1
		if c == a:
			break
	print(add)


l = [3, 5, 11, 17, 31, 41, 59, 67, 83, 109, 127, 157, 179, 191, 211, 241, 277, 283, 331, 353, 367, 401, 431, 461, 509, 547, 563, 587, 599, 617, 709, 739, 773, 797, 859, 877, 919, 967, 991, 1031, 1063, 1087, 1153, 1171, 1201, 1217, 1297, 1409, 1433, 1447, 1471, 1499, 1523, 1597, 1621, 1669, 1723, 1741, 1787, 1823, 1847, 1913, 2027, 2063, 2081, 2099, 2221, 2269, 2341, 2351, 2381, 2417, 2477, 2549, 2609, 2647, 2683, 2719, 2749, 2803, 2897, 2909, 3001, 3019, 3067, 3109, 3169, 3229, 3259, 3299, 3319, 3407, 3469, 3517, 3559, 3593, 3637, 3733, 3761, 3911, 3943, 4027, 4091, 4133, 4153, 4217, 4273, 4339, 4397, 4421, 4463, 4517, 4549, 4567, 4663, 4759, 4787, 4801, 4877, 4933, 4943, 5021, 5059, 5107, 5189, 5281, 5381, 5441, 5503, 5557, 5623, 5651, 5701, 5749, 5801, 5851, 5869, 6037, 6113, 6217, 6229, 6311, 6323, 6353, 6361, 6469, 6599, 6653, 6661, 6691, 6823, 6841, 6863, 6899, 7057, 7109, 7193, 7283, 7351, 7417, 7481, 7523, 7607, 7649, 7699, 7753, 7841, 7883, 8011, 8059, 8101, 8117, 8221, 8233, 8287, 8377, 8389, 8513, 8527, 8581, 8719, 8747, 8761, 8807, 8849, 8923, 8999, 9041, 9103, 9293, 9319, 9403, 9461, 9539, 9619, 9661, 9739, 9833, 9859, 9923, 9973, 10009, 10079, 10169, 10267, 10433, 10457, 10487, 10559, 10589, 10631, 10663, 10687, 10723, 10853, 10861, 10909, 11257, 11311, 11369, 11447, 11633, 11743, 11867, 11909, 11927, 11953, 12007, 12097, 12113, 12143, 12203, 12301, 12409, 12421, 12457, 12479, 12503, 12547, 12647, 12763, 12841, 12959, 13003, 13037, 13103, 13171, 13217, 13297, 13331, 13469, 13513, 13591, 13613, 13649, 13693, 13709, 13757, 13859, 14051, 14107, 14159, 14177, 14437, 14479, 14503, 14591, 14713, 14723, 14783, 14867, 14923, 14969, 15061, 15227, 15271, 15299, 15313, 15413, 15511, 15641, 15683, 15823, 15973, 16061, 16073, 16091, 16127, 16141, 16253, 16411, 16451, 16519, 16693, 16703, 16901, 16921, 17117, 17189, 17291, 17333, 17377, 17387, 17417, 17483, 17539, 17627, 17659, 17761, 17911, 17987, 18049, 18149, 18181, 18217, 18229, 18311, 18433, 18443, 18617, 18661, 18719, 18757, 18787, 18917, 19013, 19213, 19433, 19463, 19501, 19577, 19759, 19777, 19819, 19913, 20047, 20063, 20107, 20161, 20231, 20297, 20341, 20441, 20477, 20719, 20759, 20773, 20873, 20899, 20959, 21089, 21149, 21179, 21191, 21269, 21317, 21379, 21493, 21529, 21587, 21727, 21757, 21817, 21937, 22027, 22067, 22093, 22367, 22549, 22651, 22721, 22751, 22811, 22853, 22907, 23087, 23209, 23251, 23431, 23539, 23563, 23669, 23801, 23887, 23899, 23929, 24019, 24071, 24107, 24133, 24151, 24197, 24251, 24379, 24419, 24439, 24509, 24631, 24671, 24781, 24859, 24917, 25057, 25163, 25301, 25307, 25357, 25409, 25423, 25601, 25733, 25763, 25841, 25919, 25969, 26003, 26189, 26263, 26371, 26423, 26489, 26591, 26693, 26783, 26921, 26953, 27017, 27073, 27091, 27437, 27457, 27581, 27689, 27733, 27809, 27847, 27943, 28057, 28109, 28279, 28307, 28393, 28573, 28643, 28657, 28807, 29101, 29137, 29153, 29269, 29333, 29383, 29483, 29569, 29641, 29683, 29803, 30071, 30091, 30113, 30133, 30253, 30557, 30577, 30661, 30707, 30781, 30829, 30869, 30881, 31033, 31069, 31181, 31189, 31267, 31277, 31489, 31513, 31667, 31729, 32003, 32143, 32233, 32261, 32299, 32323, 32341, 32533, 32603, 32719, 32797, 32911, 32933, 32969, 33013, 33029, 33083, 33191, 33203, 33347, 33457, 33469, 33569, 33647, 33749, 33769, 33827, 33911, 33967, 34057, 34259, 34351, 34367, 34421, 34543, 34607, 34651, 34729, 34843, 34919, 35023, 35081, 35311, 35363, 35393, 35507, 35617, 35731, 35801, 35977, 35993, 36083, 36251, 36293, 36307, 36451, 36563, 36599, 36683, 36847, 36887, 36929, 36943, 36997, 37049, 37061, 37217, 37273, 37489, 37657, 37831, 37853, 37889, 37967, 38039, 38053, 38153, 38351, 38377, 38459, 38669, 38711, 38833, 38851, 38917, 39043, 39199, 39217, 39239, 39317, 39451, 39509, 39521, 39733, 39979, 40093, 40151, 40163, 40277, 40289, 40459, 40483, 40577, 40637, 40693, 40801, 40819, 40897, 40961, 41051, 41351, 41467, 41491, 41597, 41647, 41719, 41843, 41983, 42043, 42181, 42293, 42307, 42461, 42499, 42569, 42643, 42697, 42853, 42863, 42979, 43151, 43223, 43283, 43313, 43391, 43633, 43651, 43787, 43889, 44029, 44111, 44171, 44221, 44453, 44621, 44633, 44657, 44729, 44753, 44809, 44879, 44971, 45061, 45191, 45329, 45541, 45557, 45631, 45673, 45863, 45971, 46237, 46279, 46307, 46349, 46441, 46451, 46573, 46619, 46751, 47123, 47237, 47297, 47417, 47563, 47623, 47713, 47837, 47857, 47911, 47963, 48073, 48131, 48259, 48281, 48337, 48481, 48533, 48593, 48647, 48731, 48751, 48821, 48847, 49031, 49139, 49207, 49411, 49451, 49523, 49639, 49667, 49739, 49789, 49843]
t = int(input())
for i in range(t):
	s = 0
	n = int(input())
	for i in range(n):
		s += l[i]
	print(s % 1000000007)


k = []
n = 100000
prime = [True for i in range(n + 1)]
p = 2
for i in range(2, int(n ** 0.5) + 1):
	if prime[i]:
		j = 2
		while i * j <= n:
			prime[i * j] = False
			j += 1
for p in range(2, n + 1):
	if prime[p]:
		k.append(p)
for _ in range(int(input())):
	n = int(input())
	sum = 0
	for i in range(n):
		sum += k[k[i] - 1]
	print(sum)


l = [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]
t = int(input())
for i in range(t):
	s = 0
	n = int(input())
	c = 1
	x = 0
	while c <= n:
		if x + 1 in l:
			s += l[x]
			c += 1
		x += 1
	print(s % 1000000007)


MOD = 1000000007
t = int(input())
while t:
	n = int(input())
	P = p = 1
	l = []
	s = 0
	while n > 0:
		l += P % p * [p]
		if len(l) in P % p * l:
			s = (s % MOD + p % MOD) % MOD
			n -= 1
		P *= p * p
		p += 1
	print(s)
	t -= 1


def SieveOfEratosthenes(n):
	prime = [True for i in range(n + 1)]
	p = 2
	while p * p <= n:
		if prime[p] == True:
			for i in range(p * 2, n + 1, p):
				prime[i] = False
		p += 1
	arr = []
	for p in range(2, n):
		if prime[p]:
			arr.append(p)
	if prime[n]:
		arr.append(n)
	return arr
t = int(input())
for _ in range(t):
	n = int(input())
	k = SieveOfEratosthenes(109)
	count = 0
	s = 0
	for i in range(2, 30):
		if count < n:
			if i in k:
				s += k[i - 1]
				count += 1
			else:
				pass
		else:
			break
	print(s)


import math

def isPrime(nm):
	for i in range(2, int(math.sqrt(nm) + 1)):
		if nm % i == 0:
			return False
	return True
U = list()
num = 2
for i in range(10000):
	while not isPrime(num):
		num += 1
	U.append(num)
	num += 1
S = list()
for i in range(1, len(U)):
	if isPrime(i + 1):
		S.append(U[i])
t = int(input())
for i in range(t):
	sum = 0
	n = int(input())
	for j in range(n):
		sum += S[j]
	print(sum)


primes = []

def rwh_primes1(n):
	sieve = [True] * (n // 2)
	for i in range(3, int(n ** 0.5) + 1, 2):
		if sieve[i // 2]:
			sieve[i * i // 2::i] = [False] * ((n - i * i - 1) // (2 * i) + 1)
	return [2] + [2 * i + 1 for i in range(1, n // 2) if sieve[i]]
primes = rwh_primes1(1000000)
plookup = set(primes)
S = []
prime = 10 ** 9 + 7
for i in range(2, 10000):
	if i in plookup:
		S.append(primes[i - 1])

def __starting_point():
	T = int(input())
	while T > 0:
		T -= 1
		N = int(input())
		s = 0
		for i in range(N):
			s += S[i]
		print(s % prime)
__starting_point()


n = 100000
prm = [True for i in range(n + 1)]
p = 2
while p * p <= n:
	if prm[p] == True:
		for i in range(p * 2, n + 1, p):
			prm[i] = False
	p += 1
c = []
for p in range(2, n):
	if prm[p]:
		c.append(p)
for _ in range(int(input())):
	k = int(input())
	s = 0
	for i in range(k):
		s = (s + c[c[i] - 1]) % (10 ** 9 + 7)
	print(s)


n = 10002
prm = [True for i in range(n + 1)]
p = 2
while p * p <= n:
	if prm[p] == True:
		for i in range(p * 2, n + 1, p):
			prm[i] = False
	p += 1
c = []
for p in range(2, n):
	if prm[p]:
		c.append(p)
for _ in range(int(input())):
	k = int(input())
	s = 0
	for i in range(k):
		s += c[c[i] - 1]
	print(s)


def s(n):
	res = []
	prime = [True for i in range(n + 1)]
	p = 2
	for i in range(2, int(n ** 0.5) + 1):
		if prime[i]:
			j = 2
			while i * j <= n:
				prime[i * j] = False
				j += 1
	for p in range(2, n + 1):
		if prime[p]:
			res.append(p)
	return res
o = s(100000)
for _ in range(int(input())):
	n = int(input())
	sum = 0
	for i in range(n):
		temp = o[i]
		sum += o[temp - 1]
	print(sum)


s = [3, 8, 19, 36, 67, 108, 167, 234, 317, 426, 553, 710, 889, 1080, 1291, 1532, 1809, 2092, 2423, 2776, 3143, 3544, 3975, 4436, 4945, 5492, 6055, 6642, 7241, 7858, 8567, 9306, 10079, 10876, 11735, 12612, 13531, 14498, 15489, 16520, 17583, 18670, 19823, 20994, 22195, 23412, 24709, 26118, 27551, 28998, 30469, 31968, 33491, 35088, 36709, 38378, 40101, 41842, 43629, 45452, 47299, 49212, 51239, 53302, 55383, 57482, 59703, 61972, 64313, 66664, 69045, 71462, 73939, 76488, 79097, 81744, 84427, 87146, 89895, 92698, 95595, 98504, 101505, 104524, 107591, 110700, 113869, 117098, 120357, 123656, 126975, 130382, 133851, 137368, 140927, 144520, 148157, 151890, 155651, 159562, 163505, 167532, 171623, 175756, 179909, 184126, 188399, 192738, 197135, 201556, 206019, 210536, 215085, 219652, 224315, 229074, 233861, 238662, 243539, 248472, 253415, 258436, 263495, 268602, 273791, 279072, 284453, 289894, 295397, 300954, 306577, 312228, 317929, 323678, 329479, 335330, 341199, 347236, 353349, 359566, 365795, 372106, 378429, 384782, 391143, 397612, 404211, 410864, 417525, 424216, 431039, 437880, 444743, 451642, 458699, 465808, 473001, 480284, 487635, 495052, 502533, 510056, 517663, 525312, 533011, 540764, 548605, 556488, 564499, 572558, 580659, 588776, 596997, 605230, 613517, 621894, 630283, 638796, 647323, 655904, 664623, 673370, 682131, 690938, 699787, 708710, 717709, 726750, 735853, 745146, 754465, 763868, 773329, 782868, 792487, 802148, 811887, 821720, 831579, 841502, 851475, 861484, 871563, 881732, 891999, 902432, 912889, 923376, 933935, 944524, 955155, 965818, 976505, 987228, 998081, 1008942, 1019851, 1031108, 1042419, 1053788, 1065235, 1076868, 1088611, 1100478, 1112387, 1124314, 1136267, 1148274, 1160371, 1172484, 1184627, 1196830, 1209131, 1221540, 1233961, 1246418, 1258897, 1271400, 1283947, 1296594, 1309357, 1322198, 1335157, 1348160, 1361197, 1374300, 1387471, 1400688, 1413985, 1427316, 1440785, 1454298, 1467889, 1481502, 1495151, 1508844, 1522553, 1536310, 1550169, 1564220, 1578327, 1592486, 1606663, 1621100, 1635579, 1650082, 1664673, 1679386, 1694109, 1708892, 1723759, 1738682, 1753651, 1768712, 1783939, 1799210, 1814509, 1829822, 1845235, 1860746, 1876387, 1892070, 1907893, 1923866, 1939927, 1956000, 1972091, 1988218, 2004359, 2020612, 2037023, 2053474, 2069993, 2086686, 2103389, 2120290, 2137211, 2154328, 2171517, 2188808, 2206141, 2223518, 2240905, 2258322, 2275805, 2293344, 2310971, 2328630, 2346391, 2364302, 2382289, 2400338, 2418487, 2436668, 2454885, 2473114, 2491425, 2509858, 2528301, 2546918, 2565579, 2584298, 2603055, 2621842, 2640759, 2659772, 2678985, 2698418, 2717881, 2737382, 2756959, 2776718, 2796495, 2816314, 2836227, 2856274, 2876337, 2896444, 2916605, 2936836, 2957133, 2977474, 2997915, 3018392, 3039111, 3059870, 3080643, 3101516, 3122415, 3143374, 3164463, 3185612, 3206791, 3227982, 3249251, 3270568, 3291947, 3313440, 3334969, 3356556, 3378283, 3400040, 3421857, 3443794, 3465821, 3487888, 3509981, 3532348, 3554897, 3577548, 3600269, 3623020, 3645831, 3668684, 3691591, 3714678, 3737887, 3761138, 3784569, 3808108, 3831671, 3855340, 3879141, 3903028, 3926927, 3950856, 3974875, 3998946, 4023053, 4047186, 4071337, 4095534, 4119785, 4144164, 4168583, 4193022, 4217531, 4242162, 4266833, 4291614, 4316473, 4341390, 4366447, 4391610, 4416911, 4442218, 4467575, 4492984, 4518407, 4544008, 4569741, 4595504, 4621345, 4647264, 4673233, 4699236, 4725425, 4751688, 4778059, 4804482, 4830971, 4857562, 4884255, 4911038, 4937959, 4964912, 4991929, 5019002, 5046093, 5073530, 5100987, 5128568, 5156257, 5183990, 5211799, 5239646, 5267589, 5295646, 5323755, 5352034, 5380341, 5408734, 5437307, 5465950, 5494607, 5523414, 5552515, 5581652, 5610805, 5640074, 5669407, 5698790, 5728273, 5757842, 5787483, 5817166, 5846969, 5877040, 5907131, 5937244, 5967377, 5997630, 6028187, 6058764, 6089425, 6120132, 6150913, 6181742, 6212611, 6243492, 6274525, 6305594, 6336775, 6367964, 6399231, 6430508, 6461997, 6493510, 6525177, 6556906, 6588909, 6621052, 6653285, 6685546, 6717845, 6750168, 6782509, 6815042, 6847645, 6880364, 6913161, 6946072, 6979005, 7011974, 7044987, 7078016, 7111099, 7144290, 7177493, 7210840, 7244297, 7277766, 7311335, 7344982, 7378731, 7412500, 7446327, 7480238, 7514205, 7548262, 7582521, 7616872, 7651239, 7685660, 7720203, 7754810, 7789461, 7824190, 7859033, 7893952, 7928975, 7964056, 7999367, 8034730, 8070123, 8105630, 8141247, 8176978, 8212779, 8248756, 8284749, 8320832, 8357083, 8393376, 8429683, 8466134, 8502697, 8539296, 8575979, 8612826, 8649713, 8686642, 8723585, 8760582, 8797631, 8834692, 8871909, 8909182, 8946671, 8984328, 9022159, 9060012, 9097901, 9135868, 9173907, 9211960, 9250113, 9288464, 9326841, 9365300, 9403969, 9442680, 9481513, 9520364, 9559281, 9598324, 9637523, 9676740, 9715979, 9755296, 9794747, 9834256, 9873777, 9913510, 9953489, 9993582, 10033733, 10073896, 10114173, 10154462, 10194921, 10235404, 10275981, 10316618, 10357311, 10398112, 10438931, 10479828, 10520789, 10561840, 10603191, 10644658, 10686149, 10727746, 10769393, 10811112, 10852955, 10894938, 10936981, 10979162, 11021455, 11063762, 11106223, 11148722, 11191291, 11233934, 11276631, 11319484, 11362347, 11405326, 11448477, 11491700, 11534983, 11578296, 11621687, 11665320, 11708971, 11752758, 11796647, 11840676, 11884787, 11928958, 11973179, 12017632, 12062253, 12106886, 12151543, 12196272, 12241025, 12285834, 12330713, 12375684, 12420745, 12465936, 12511265, 12556806, 12602363, 12647994, 12693667, 12739530, 12785501, 12831738, 12878017, 12924324, 12970673, 13017114, 13063565, 13110138, 13156757, 13203508, 13250631, 13297868, 13345165, 13392582, 13440145, 13487768, 13535481, 13583318, 13631175, 13679086, 13727049, 13775122, 13823253, 13871512, 13919793, 13968130, 14016611, 14065144, 14113737, 14162384, 14211115, 14259866, 14308687, 14357534, 14406565, 14455704, 14504911, 14554322, 14603773, 14653296, 14702935, 14752602, 14802341, 14852130, 14901973, 14952096, 15002273, 15052614, 15102997, 15153494, 15204085, 15254792, 15305649, 15356708, 15407839, 15458976, 15510169, 15561596, 15613113, 15664694, 15716293, 15768062, 15819891, 15871784, 15923835, 15975998, 16028299, 16080662, 16133373, 16186142, 16239001, 16291904, 16344885, 16397954, 16451047, 16504160, 16557393, 16610692, 16664045, 16717422, 16770859, 16824540, 16878299, 16932076, 16985895, 17039896, 17093909, 17147992, 17202243, 17256520, 17310851, 17365222, 17419823, 17474490, 17529217, 17583996, 17638877, 17693878, 17749229, 17804818, 17860427, 17916088, 17971769, 18027466, 18083199, 18138986, 18194829, 18250826, 18306907, 18363008, 18419205, 18475516, 18531909, 18588478, 18645089, 18701722, 18758423, 18815406, 18872443, 18929550, 18986743, 19044002, 19101331, 19158728, 19216221, 19273870, 19331559, 19389290, 19447041, 19504844, 19562691, 19620608, 19678551, 19736608, 19794675, 19852892, 19911201, 19969712, 20028279, 20086978, 20145885, 20205034, 20264243, 20323660, 20383107, 20442758, 20502481, 20562260, 20622093, 20682044, 20742145, 20802294, 20862517, 20922860, 20983233, 21043742, 21104389, 21165116, 21225937, 21286806, 21347749, 21408800, 21470031, 21531388, 21592997, 21654624, 21716275, 21777998, 21839817, 21901688, 21963667, 22025808, 22088081, 22150408, 22212831, 22275298, 22337805, 22400432, 22463193, 22525984, 22588905, 22651886, 22714945, 22778058, 22841299, 22904612, 22968003, 23031446, 23094913, 23158440, 23222029, 23285658, 23349367, 23413160, 23477241, 23541398, 23605849, 23670332, 23735011, 23799758, 23864611, 23929562, 23994831, 24060202, 24125759, 24191346, 24256955, 24322656, 24388387, 24454164, 24520003, 24585884, 24651973, 24718152, 24784525, 24851094, 24917843, 24984664, 25051515, 25118474, 25185517, 25252658, 25319815, 25387062, 25454333, 25521682, 25589129, 25656706, 25724313, 25792196, 25860097, 25928168, 25996267, 26064486, 26132725, 26201162, 26269801, 26338488, 26407199, 26475942, 26544763, 26613782, 26682891, 26752054, 26821247, 26890584, 26960075, 27029728, 27099425, 27169192, 27239309, 27309432, 27379639, 27449868, 27520165, 27590492, 27660915, 27731396, 27801967, 27872588, 27943251, 28014094, 28084985, 28155942, 28227023, 28298166, 28369453, 28440840, 28512311, 28584072, 28655909, 28727850, 28799843, 28871862, 28944113, 29016450, 29089009, 29161682, 29234409, 29307310, 29380241, 29453190, 29526199, 29599320, 29672579, 29745910, 29819279, 29892732, 29966489, 30040432, 30114503, 30188596, 30262797, 30337108, 30411431, 30485940, 30560467, 30635196, 30710155, 30785366, 30860635, 30936066, 31011695, 31087384, 31163091, 31239028, 31315011, 31391042, 31467121, 31543284, 31619545, 31695948, 31772429, 31848966, 31925597, 32002270, 32079027, 32155804, 32232687, 32309600, 32386647, 32463748, 32540939, 32618188, 32695451, 32772828, 32850259, 32927816, 33005535, 33083282, 33161095, 33239174, 33317313, 33395516, 33473799, 33552116, 33630583, 33709092, 33787741, 33866462, 33945249, 34024168, 34103279, 34182430, 34261589, 34341082, 34420641, 34500458, 34580319, 34660226, 34740297, 34820504, 34900845, 34981274, 35061747, 35142238, 35222795, 35303532, 35384315, 35465232]
for j in range(int(input())):
	n = int(input())
	print(s[n - 1])


primes = []
for possiblePrime in range(2, 10000):
	isPrime = True
	for num in range(2, int(possiblePrime ** 0.5) + 1):
		if possiblePrime % num == 0:
			isPrime = False
			break
	if isPrime:
		primes.append(possiblePrime)
plookup = set(primes)
S = []
prime = 10 ** 9 + 7
for i in range(2, 1000):
	if i in plookup:
		S.append(primes[i - 1])

def __starting_point():
	T = int(input())
	while T > 0:
		T -= 1
		N = int(input())
		s = 0
		for i in range(N):
			s += S[i]
		print(s % prime)
__starting_point()


prime = [False] * 100000
nums = [1]
for i in range(2, 100000):
	if not prime[i]:
		nums.append(i)
		for j in range(i, 100000, i):
			prime[j] = True
t = int(input())
for _ in range(t):
	n = int(input())
	ans = 0
	p = 10 ** 9 + 7
	for i in range(1, n + 1):
		ans += nums[nums[i]]
		if ans >= p:
			ans %= p
	print(ans)


def prime(n):
	nroot = int(n ** 0.5) + 1
	ctr = 0
	seive = [2, 3, 5, 7, 11, 13]
	if n <= seive[-1]:
		return seive
	else:
		n_start = seive[-1] + 1
		for i in range(n_start, n):
			iroot = int(i ** 0.5) + 1
			for j in seive:
				if i % j == 0:
					ctr = 0
					break
				elif j > iroot:
					ctr = 1
					break
			if ctr == 1:
				seive.append(i)
		return seive
seive = prime(81100)
t = int(input())
for l in range(t):
	n = int(input())
	s = []
	sump = 0
	for i in range(n):
		j = seive[i]
		sump = (sump + seive[j - 1] % 1000000007) % 100000000
	print(sump)


def isPrime(n):
	if n == 1 or n == 0:
		return False
	elif n == 2:
		return True
	else:
		for i in range(2, int(n ** 0.5) + 1):
			if n % i == 0:
				return False
		return True

def getNextPrime(n):
	n = n + 1
	while not isPrime(n):
		n += 1
	return n
t = int(input())
for _ in range(t):
	n = int(input())
	sum_ = 0
	currentPrime = 3
	N = 2
	countN = 1
	temp = 0
	diff = 0
	while countN <= n:
		sum_ += currentPrime
		countN += 1
		temp = getNextPrime(N)
		diff = temp - N
		for i in range(diff):
			currentPrime = getNextPrime(currentPrime)
		N = temp
	print(sum_ % (1000000000 + 7))


def primes_sieve(limit):
	limitn = limit + 1
	not_prime = [False] * limitn
	primes = []
	for i in range(2, limitn):
		if not_prime[i]:
			continue
		for f in range(i * 2, limitn, i):
			not_prime[f] = True
		primes.append(i)
	return primes
l = 1000000007
p = primes_sieve(81043)
s = []
i = 0
while p[i] < len(p) - 1:
	s.append(p[p[i] - 1])
	i += 1
b = [s[0]]
for i in range(1, len(s)):
	b.append(b[len(b) - 1] + s[i])
for _ in range(int(input())):
	n = int(input())
	print(b[n - 1])


a = [-1, 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, 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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]
b = []
for m in a:
	x = a.index(m)
	if x in a:
		b.append(m)
s = []
s.append(b[0])
for i in range(1, 1000):
	s.append((b[i] + s[i - 1]) % 1000000007)
for j in range(int(input())):
	n = int(input())
	print(s[n - 1])