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13034: 【原3034】Gap

题目

题目描述

author: cherry 原OJ链接:https://acm.sjtu.edu.cn/OnlineJudge-old/problem/3034

Description

小 s 对素数的研究慢慢朝着炉火纯青的地步发展,在研究完素数本身之后,小 s 开始研究起了素数之间

的 gap。对于素数 2,3,5,7,11,13,17,素数之间的间距分别为 1,2,2,4,2,4。每个合数都

处于某一个素数 gap 中,比如合数 15 处于间距为 4 的素数 gap。现在小 s 想知道,对于一个正整数 N,

它处于的素数 gap 的间距是多少。

Input Format

一行,一个正整数 N

Output Format

一行,一个整数 K,表示 N 所在的素数 gap 的间距。若 N 本身为一个素数,输出 0

Sample Input 1

10

Sample Output 1

4

Sample Input 2

11

Sample Output 2

0

About Testdata

20% 2<=N<=100

40% 2<=N<=1000

100% 2<=N<=1,000,000

Limits

Time limit: 1000ms, memory limit: 50000kb.

FineArtz's solution

/* Gap */
#include <iostream>
#include <cmath>
using namespace std;

bool isp(const int &x){
    if (x == 2) return true;
    for (int i = 2; i <= trunc(sqrt(x)) + 1; ++i)
        if (x % i == 0) return false;
    return true;
}

int main(){
    int n;
    cin >> n;
    int LowerBound = n, UpperBound = n;
    while (!isp(LowerBound)) --LowerBound;
    while (!isp(UpperBound)) ++UpperBound;
    cout << UpperBound - LowerBound << endl;
    return 0;
}

ligongzzz's solution

#include "iostream"
using namespace std;

int main() {
    bool data[1100000] = { 0 };
    //计算素数
    for (int i = 2; i < 1100; i++) {
        if (!data[i]) {
            for (int sum = i * 2; sum < 1100000; sum += i)
                data[sum] = true;
        }
    }

    //判断素数
    int input;
    cin >> input;
    int left, right;
    for (left = input; data[left]; left--) {}
    for (right = input; data[right]; right++) {}
    cout << right - left;

    return 0;
}

Neight99's solution

#include <iostream>

using namespace std;

int main() {
    int list1[] = {
        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,
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        34759,  34763,  34781,   34807,   34819,   34841,   34843,  34847,
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        37243,  37253,  37273,   37277,   37307,   37309,   37313,  37321,
        37337,  37339,  37357,   37361,   37363,   37369,   37379,  37397,
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        37561,  37567,  37571,   37573,   37579,   37589,   37591,  37607,
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        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,
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        42181,  42187,  42193,   42197,   42209,   42221,   42223,  42227,
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        42403,  42407,  42409,   42433,   42437,   42443,   42451,  42457,
        42461,  42463,  42467,   42473,   42487,   42491,   42499,  42509,
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        42643,  42649,  42667,   42677,   42683,   42689,   42697,  42701,
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        46619,  46633,  46639,   46643,   46649,   46663,   46679,  46681,
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        47147,  47149,  47161,   47189,   47207,   47221,   47237,  47251,
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        47339,  47351,  47353,   47363,   47381,   47387,   47389,  47407,
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        47581,  47591,  47599,   47609,   47623,   47629,   47639,  47653,
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        47809,  47819,  47837,   47843,   47857,   47869,   47881,  47903,
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        48187,  48193,  48197,   48221,   48239,   48247,   48259,  48271,
        48281,  48299,  48311,   48313,   48337,   48341,   48353,  48371,
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        48473,  48479,  48481,   48487,   48491,   48497,   48523,  48527,
        48533,  48539,  48541,   48563,   48571,   48589,   48593,  48611,
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        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,
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        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,
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        50647,  50651,  50671,   50683,   50707,   50723,   50741,  50753,
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        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,
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        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,
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        51679,  51683,  51691,   51713,   51719,   51721,   51749,  51767,
        51769,  51787,  51797,   51803,   51817,   51827,   51829,  51839,
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        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,
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        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