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.

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

ns = {"__name__": "__main__"}
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = '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,\r\n103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,\r\n199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,\r\n313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,\r\n433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,\r\n563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,\r\n673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,\r\n811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,\r\n941,947,953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,\r\n1051,1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,\r\n1163,1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,\r\n1279,1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,\r\n1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,\r\n1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597,\r\n1601,1607,1609,1613,1619,1621,1627,1637,1657,1663,1667,1669,1693,1697,1699,\r\n1709,1721,1723,1733,1741,1747,1753,1759,1777,1783,1787,1789,1801,1811,1823,\r\n1831,1847,1861,1867,1871,1873,1877,1879,1889,1901,1907,1913,1931,1933,1949,\r\n1951,1973,1979,1987,1993,1997,1999,2003,2011,2017,2027,2029,2039,2053,2063,\r\n2069,2081,2083,2087,2089,2099,2111,2113,2129,2131,2137,2141,2143,2153,2161,\r\n2179,2203,2207,2213,2221,2237,2239,2243,2251,2267,2269,2273,2281,2287,2293,\r\n2297,2309,2311,2333,2339,2341,2347,2351,2357,2371,2377,2381,2383,2389,2393,\r\n2399,2411,2417,2423,2437,2441,2447,2459,2467,2473,2477,2503,2521,2531,2539,\r\n2543,2549,2551,2557,2579,2591,2593,2609,2617,2621,2633,2647,2657,2659,2663,\r\n2671,2677,2683,2687,2689,2693,2699,2707,2711,2713,2719,2729,2731,2741,2749,\r\n2753,2767,2777,2789,2791,2797,2801,2803,2819,2833,2837,2843,2851,2857,2861,\r\n2879,2887,2897,2903,2909,2917,2927,2939,2953,2957,2963,2969,2971,2999,3001,\r\n3011,3019,3023,3037,3041,3049,3061,3067,3079,3083,3089,3109,3119,3121,3137,\r\n3163,3167,3169,3181,3187,3191,3203,3209,3217,3221,3229,3251,3253,3257,3259,\r\n3271,3299,3301,3307,3313,3319,3323,3329,3331,3343,3347,3359,3361,3371,3373,\r\n3389,3391,3407,3413,3433,3449,3457,3461,3463,3467,3469,3491,3499,3511,3517,\r\n3527,3529,3533,3539,3541,3547,3557,3559,3571,3581,3583,3593,3607,3613,3617,\r\n3623,3631,3637,3643,3659,3671,3673,3677,3691,3697,3701,3709,3719,3727,3733,\r\n3739,3761,3767,3769,3779,3793,3797,3803,3821,3823,3833,3847,3851,3853,3863,\r\n3877,3881,3889,3907,3911,3917,3919,3923,3929,3931,3943,3947,3967,3989,4001,\r\n4003,4007,4013,4019,4021,4027,4049,4051,4057,4073,4079,4091,4093,4099,4111,\r\n4127,4129,4133,4139,4153,4157,4159,4177,4201,4211,4217,4219,4229,4231,4241,\r\n4243,4253,4259,4261,4271,4273,4283,4289,4297,4327,4337,4339,4349,4357,4363,\r\n4373,4391,4397,4409,4421,4423,4441,4447,4451,4457,4463,4481,4483,4493,4507,\r\n4513,4517,4519,4523,4547,4549,4561,4567,4583,4591,4597,4603,4621,4637,4639,\r\n4643,4649,4651,4657,4663,4673,4679,4691,4703,4721,4723,4729,4733,4751,4759,\r\n4783,4787,4789,4793,4799,4801,4813,4817,4831,4861,4871,4877,4889,4903,4909,\r\n4919,4931,4933,4937,4943,4951,4957,4967,4969,4973,4987,4993,4999,5003,5009,\r\n5011,5021,5023,5039,5051,5059,5077,5081,5087,5099,5101,5107,5113,5119,5147,\r\n5153,5167,5171,5179,5189,5197,5209,5227,5231,5233,5237,5261,5273,5279,5281,\r\n5297,5303,5309,5323,5333,5347,5351,5381,5387,5393,5399,5407,5413,5417,5419,\r\n5431,5437,5441,5443,5449,5471,5477,5479,5483,5501,5503,5507,5519,5521,5527,\r\n5531,5557,5563,5569,5573,5581,5591,5623,5639,5641,5647,5651,5653,5657,5659,\r\n5669,5683,5689,5693,5701,5711,5717,5737,5741,5743,5749,5779,5783,5791,5801,\r\n5807,5813,5821,5827,5839,5843,5849,5851,5857,5861,5867,5869,5879,5881,5897,\r\n5903,5923,5927,5939,5953,5981,5987,6007,6011,6029,6037,6043,6047,6053,6067,\r\n6073,6079,6089,6091,6101,6113,6121,6131,6133,6143,6151,6163,6173,6197,6199,\r\n6203,6211,6217,6221,6229,6247,6257,6263,6269,6271,6277,6287,6299,6301,6311,\r\n6317,6323,6329,6337,6343,6353,6359,6361,6367,6373,6379,6389,6397,6421,6427,\r\n6449,6451,6469,6473,6481,6491,6521,6529,6547,6551,6553,6563,6569,6571,6577,\r\n6581,6599,6607,6619,6637,6653,6659,6661,6673,6679,6689,6691,6701,6703,6709,\r\n6719,6733,6737,6761,6763,6779,6781,6791,6793,6803,6823,6827,6829,6833,6841,\r\n6857,6863,6869,6871,6883,6899,6907,6911,6917,6947,6949,6959,6961,6967,6971,\r\n6977,6983,6991,6997,7001,7013,7019,7027,7039,7043,7057,7069,7079,7103,7109,\r\n7121,7127,7129,7151,7159,7177,7187,7193,7207,7211,7213,7219,7229,7237,7243,\r\n7247,7253,7283,7297,7307,7309,7321,7331,7333,7349,7351,7369,7393,7411,7417,\r\n7433,7451,7457,7459,7477,7481,7487,7489,7499,7507,7517,7523,7529,7537,7541,\r\n7547,7549,7559,7561,7573,7577,7583,7589,7591,7603,7607,7621,7639,7643,7649,\r\n7669,7673,7681,7687,7691,7699,7703,7717,7723,7727,7741,7753,7757,7759,7789,\r\n7793,781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r\n65633,65647,65651,65657,65677,65687,65699,65701,65707,65713,65717,65719,\r\n65729,65731,65761,65777,65789,65809,65827,65831,65837,65839,65843,65851,\r\n65867,65881,65899,65921,65927,65929,65951,65957,65963,65981,65983,65993,\r\n66029,66037,66041,66047,66067,66071,66083,66089,66103,66107,66109,66137,\r\n66161,66169,66173,66179,66191,66221,66239,66271,66293,66301,66337,66343,\r\n66347,66359,66361,66373,66377,66383,66403,66413,66431,66449,66457,66463,\r\n66467,66491,66499,66509,66523,66529,66533,66541,66553,66569,66571,66587,\r\n66593,66601,66617,66629,66643,66653,66683,66697,66701,66713,66721,66733,\r\n66739,66749,66751,66763,66791,66797,66809,66821,66841,66851,66853,66863,\r\n66877,66883,66889,66919,66923,66931,66943,66947,66949,66959,66973,66977,\r\n67003,67021,67033,67043,67049,67057,67061,67073,67079,67103,67121,67129,\r\n67139,67141,67153,67157,67169,67181,67187,67189,67211,67213,67217,67219,\r\n67231,67247,67261,67271,67273,67289,67307,67339,67343,67349,67369,67391,\r\n67399,67409,67411,67421,67427,67429,67433,67447,67453,67477,67481,67489,\r\n67493,67499,67511,67523,67531,67537,67547,67559,67567,67577,67579,67589,\r\n67601,67607,67619,67631,67651,67679,67699,67709,67723,67733,67741,67751,\r\n67757,67759,67763,67777,67783,67789,67801,67807,67819,67829,67843,67853,\r\n67867,67883,67891,67901,67927,67931,67933,67939,67943,67957,67961,67967,\r\n67979,67987,67993,68023,68041,68053,68059,68071,68087,68099,68111,68113,\r\n68141,68147,68161,68171,68207,68209,68213,68219,68227,68239,68261,68279,\r\n68281,68311,68329,68351,68371,68389,68399,68437,68443,68447,68449,68473,\r\n68477,68483,68489,68491,68501,68507,68521,68531,68539,68543,68567,68581,\r\n68597,68611,68633,68639,68659,68669,68683,68687,68699,68711,68713,68729,\r\n68737,68743,68749,68767,68771,68777,68791,68813,68819,68821,68863,68879,\r\n68881,68891,68897,68899,68903,68909,68917,68927,68947,68963,68993,69001,\r\n69011,69019,69029,69031,69061,69067,69073,69109,69119,69127,69143,69149,\r\n69151,69163,69191,69193,69197,69203,69221,69233,69239,69247,69257,69259,\r\n69263,69313,69317,69337,69341,69371,69379,69383,69389,69401,69403,69427,\r\n69431,69439,69457,69463,69467,69473,69481,69491,69493,69497,69499,69539,\r\n69557,69593,69623,69653,69661,69677,69691,69697,69709,69737,69739,69761,\r\n69763,69767,69779,69809,69821,69827,69829,69833,69847,69857,69859,69877,\r\n69899,69911,69929,69931,69941,69959,69991,69997,70001,70003,70009,70019,\r\n70039,70051,70061,70067,70079,70099,70111,70117,70121,70123,70139,70141,\r\n70157,70163,70177,70181,70183,70199,70201,70207,70223,70229,70237,70241,\r\n70249,70271,70289,70297,70309,70313,70321,70327,70351,70373,70379,70381,\r\n70393,70423,70429,70439,70451,70457,70459,70481,70487,70489,70501,70507,\r\n70529,70537,70549,70571,70573,70583,70589,70607,70619,70621,70627,70639,\r\n70657,70663,70667,70687,70709,70717,70729,70753,70769,70783,70793,70823,\r\n70841,70843,70849,70853,70867,70877,70879,70891,70901,70913,70919,70921,\r\n70937,70949,70951,70957,70969,70979,70981,70991,70997,70999,71011,71023,\r\n71039,71059,71069,71081,71089,71119,71129,71143,71147,71153,71161,71167,\r\n71171,71191,71209,71233,71237,71249,71257,71261,71263,71287,71293,71317,\r\n71327,71329,71333,71339,71341,71347,71353,71359,71363,71387,71389,71399,\r\n71411,71413,71419,71429,71437,71443,71453,71471,71473,71479,71483,71503,\r\n71527,71537,71549,71551,71563,71569,71593,71597,71633,71647,71663,71671,\r\n71693,71699,71707,71711,71713,71719,71741,71761,71777,71789,71807,71809,\r\n71821,71837,71843,71849,71861,71867,71879,71881,71887,71899,71909,71917,\r\n71933,71941,71947,71963,71971,71983,71987,71993,71999,72019,72031,72043,\r\n72047,72053,72073,72077,72089,72091,72101,72103,72109,72139,72161,72167,\r\n72169,72173,72211,72221,72223,72227,72229,72251,72253,72269,72271,72277,\r\n72287,72307,72313,72337,72341,72353,72367,72379,72383,72421,72431,72461,\r\n72467,72469,72481,72493,72497,72503,72533,72547,72551,72559,72577,72613,\r\n72617,72623,72643,72647,72649,72661,72671,72673,72679,72689,72701,72707,\r\n72719,72727,72733,72739,72763,72767,72797,72817,72823,72859,72869,72871,\r\n72883,72889,72893,72901,72907,72911,72923,72931,72937,72949,72953,72959,\r\n72973,72977,72997,73009,73013,73019,73037,73039,73043,73061,73063,73079,\r\n73091,73121,73127,73133,73141,73181,73189,73237,73243,73259,73277,73291,\r\n73303,73309,73327,73331,73351,73361,73363,73369,73379,73387,73417,73421,\r\n73433,73453,73459,73471,73477,73483,73517,73523,73529,73547,73553,73561,\r\n73571,73583,73589,73597,73607,73609,73613,73637,73643,73651,73673,73679,\r\n73681,73693,73699,73709,73721,73727,73751,73757,73771,73783,73819,73823,\r\n73847,73849,73859,73867,73877,73883,73897,73907,73939,73943,73951,73961,\r\n73973,73999,74017,74021,74027,74047,74051,74071,74077,74093,74099,74101,\r\n74131,74143,74149,74159,74161,74167,74177,74189,74197,74201,74203,74209,\r\n74219,74231,74257,74279,74287,74293,74297,74311,74317,74323,74353,74357,\r\n74363,74377,74381,74383,74411,74413,74419,74441,74449,74453,74471,74489,\r\n74507,74509,74521,74527,74531,74551,74561,74567,74573,74587,74597,74609,\r\n74611,74623,74653,74687,74699,74707,74713,74717,74719,74729,74731,74747,\r\n74759,74761,74771,74779,74797,74821,74827,74831,74843,74857,74861,74869,\r\n74873,74887,74891,74897,74903,74923,74929,74933,74941,74959,75011,75013,\r\n75017,75029,75037,75041,75079,75083,75109,75133,75149,75161,75167,75169,\r\n75181,75193,75209,75211,75217,75223,75227,75239,75253,75269,75277,75289,\r\n75307,75323,75329,75337,75347,75353,75367,75377,75389,75391,75401,75403,\r\n75407,75431,75437,75479,75503,75511,75521,75527,75533,75539,75541,75553,\r\n75557,75571,75577,75583,75611,75617,75619,75629,75641,75653,75659,75679,\r\n75683,75689,75703,75707,75709,75721,75731,75743,75767,75773,75781,75787,\r\n75793,75797,75821,75833,75853,75869,75883,75913,75931,75937,75941,75967,\r\n75979,75983,75989,75991,75997,76001,76003,76031,76039,76079,76081,76091,\r\n76099,76103,76123,76129,76147,76157,76159,76163,76207,76213,76231,76243,\r\n76249,76253,76259,76261,76283,76289,76303,76333,76343,76367,76369,76379,\r\n76387,76403,76421,76423,76441,76463,76471,76481,76487,76493,76507,76511,\r\n76519,76537,76541,76543,76561,76579,76597,76603,76607,76631,76649,76651,76667,76673,76679,76697,76717,76733,76753,76757,76771,76777,76781,76801,\r\n76819,76829,76831,76837,76847,76871,76873,76883,76907,76913,76919,76943,\r\n76949,76961,76963,76991,77003,77017,77023,77029,77041,77047,77069,77081,\r\n77093,77101,77137,77141,77153,77167,77171,77191,77201,77213,77237,77239,\r\n77243,77249,77261,77263,77267,77269,77279,77291,77317,77323,77339,77347,\r\n77351,77359,77369,77377,77383,77417,77419,77431,77447,77471,77477,77479,\r\n77489,77491,77509,77513,77521,77527,77543,77549,77551,77557,77563,77569,\r\n77573,77587,77591,77611,77617,77621,77641,77647,77659,77681,77687,77689,\r\n77699,77711,77713,77719,77723,77731,77743,77747,77761,77773,77783,77797,\r\n77801,77813,77839,77849,77863,77867,77893,77899,77929,77933,77951,77969,\r\n77977,77983,77999,78007,78017,78031,78041,78049,78059,78079,78101,78121,\r\n78137,78139,78157,78163,78167,78173,78179,78191,78193,78203,78229,78233,\r\n78241,78259,78277,78283,78301,78307,78311,78317,78341,78347,78367,78401,\r\n78427,78437,78439,78467,78479,78487,78497,78509,78511,78517,78539,78541,\r\n78553,78569,78571,78577,78583,78593,78607,78623,78643,78649,78653,78691,\r\n78697,78707,78713,78721,78737,78779,78781,78787,78791,78797,78803,78809,\r\n78823,78839,78853,78857,78877,78887,78889,78893,78901,78919,78929,78941,\r\n78977,78979,78989,79031,79039,79043,79063,79087,79103,79111,79133,79139,\r\n79147,79151,79153,79159,79181,79187,79193,79201,79229,79231,79241,79259,\r\n79273,79279,79283,79301,79309,79319,79333,79337,79349,79357,79367,79379,\r\n79393,79397,79399,79411,79423,79427,79433,79451,79481,79493,79531,79537,\r\n79549,79559,79561,79579,79589,79601,79609,79613,79621,79627,79631,79633,\r\n79657,79669,79687,79691,79693,79697,79699,79757,79769,79777,79801,79811,\r\n79813,79817,79823,79829,79841,79843,79847,79861,79867,79873,79889,79901,\r\n79903,79907,79939,79943,79967,79973,79979,79987,79997,79999,80021,80039,\r\n80051,80071,80077,80107,80111,80141,80147,80149,80153,80167,80173,80177,\r\n80191,80207,80209,80221,80231,80233,80239,80251,80263,80273,80279,80287,\r\n80309,80317,80329,80341,80347,80363,80369,80387,80407,80429,80447,80449,\r\n80471,80473,80489,80491,80513,80527,80537,80557,80567,80599,80603,80611,\r\n80621,80627,80629,80651,80657,80669,80671,80677,80681,80683,80687,80701,\r\n80713,80737,80747,80749,80761,80777,80779,80783,80789,80803,80809,80819,\r\n80831,80833,80849,80863,80897,80909,80911,80917,80923,80929,80933,80953]\r\nb=[]\r\nfor m in a:\r\n    x=a.index(m)\r\n    if(x in a):\r\n        b.append(m)\r\ns=[]\r\ns.append(b[0])\r\nfor i in range(1,1000):\r\n    s.append((b[i]+s[i-1])%1000000007)\r\nfor j in range(int(input())):\r\n    n=int(input())\r\n    print(s[n-1])'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 126153