#include <bits/stdc++.h>
using namespace std;
const int MOD = 1e9 + 7;
long long N, P;
vector<long long> prime_factor;
map<long long, long long> factor;
long long sosuu[] = {
    2,     3,     5,     7,     11,    13,    17,    19,    23,    29,
    31,    37,    41,    43,    47,    53,    59,    61,    67,    71,
    73,    79,    83,    89,    97,    101,   103,   107,   109,   113,
    127,   131,   137,   139,   149,   151,   157,   163,   167,   173,
    179,   181,   191,   193,   197,   199,   211,   223,   227,   229,
    233,   239,   241,   251,   257,   263,   269,   271,   277,   281,
    283,   293,   307,   311,   313,   317,   331,   337,   347,   349,
    353,   359,   367,   373,   379,   383,   389,   397,   401,   409,
    419,   421,   431,   433,   439,   443,   449,   457,   461,   463,
    467,   479,   487,   491,   499,   503,   509,   521,   523,   541,
    547,   557,   563,   569,   571,   577,   587,   593,   599,   601,
    607,   613,   617,   619,   631,   641,   643,   647,   653,   659,
    661,   673,   677,   683,   691,   701,   709,   719,   727,   733,
    739,   743,   751,   757,   761,   769,   773,   787,   797,   809,
    811,   821,   823,   827,   829,   839,   853,   857,   859,   863,
    877,   881,   883,   887,   907,   911,   919,   929,   937,   941,
    947,   953,   967,   971,   977,   983,   991,   997,   1009,  1013,
    1019,  1021,  1031,  1033,  1039,  1049,  1051,  1061,  1063,  1069,
    1087,  1091,  1093,  1097,  1103,  1109,  1117,  1123,  1129,  1151,
    1153,  1163,  1171,  1181,  1187,  1193,  1201,  1213,  1217,  1223,
    1229,  1231,  1237,  1249,  1259,  1277,  1279,  1283,  1289,  1291,
    1297,  1301,  1303,  1307,  1319,  1321,  1327,  1361,  1367,  1373,
    1381,  1399,  1409,  1423,  1427,  1429,  1433,  1439,  1447,  1451,
    1453,  1459,  1471,  1481,  1483,  1487,  1489,  1493,  1499,  1511,
    1523,  1531,  1543,  1549,  1553,  1559,  1567,  1571,  1579,  1583,
    1597,  1601,  1607,  1609,  1613,  1619,  1621,  1627,  1637,  1657,
    1663,  1667,  1669,  1693,  1697,  1699,  1709,  1721,  1723,  1733,
    1741,  1747,  1753,  1759,  1777,  1783,  1787,  1789,  1801,  1811,
    1823,  1831,  1847,  1861,  1867,  1871,  1873,  1877,  1879,  1889,
    1901,  1907,  1913,  1931,  1933,  1949,  1951,  1973,  1979,  1987,
    1993,  1997,  1999,  2003,  2011,  2017,  2027,  2029,  2039,  2053,
    2063,  2069,  2081,  2083,  2087,  2089,  2099,  2111,  2113,  2129,
    2131,  2137,  2141,  2143,  2153,  2161,  2179,  2203,  2207,  2213,
    2221,  2237,  2239,  2243,  2251,  2267,  2269,  2273,  2281,  2287,
    2293,  2297,  2309,  2311,  2333,  2339,  2341,  2347,  2351,  2357,
    2371,  2377,  2381,  2383,  2389,  2393,  2399,  2411,  2417,  2423,
    2437,  2441,  2447,  2459,  2467,  2473,  2477,  2503,  2521,  2531,
    2539,  2543,  2549,  2551,  2557,  2579,  2591,  2593,  2609,  2617,
    2621,  2633,  2647,  2657,  2659,  2663,  2671,  2677,  2683,  2687,
    2689,  2693,  2699,  2707,  2711,  2713,  2719,  2729,  2731,  2741,
    2749,  2753,  2767,  2777,  2789,  2791,  2797,  2801,  2803,  2819,
    2833,  2837,  2843,  2851,  2857,  2861,  2879,  2887,  2897,  2903,
    2909,  2917,  2927,  2939,  2953,  2957,  2963,  2969,  2971,  2999,
    3001,  3011,  3019,  3023,  3037,  3041,  3049,  3061,  3067,  3079,
    3083,  3089,  3109,  3119,  3121,  3137,  3163,  3167,  3169,  3181,
    3187,  3191,  3203,  3209,  3217,  3221,  3229,  3251,  3253,  3257,
    3259,  3271,  3299,  3301,  3307,  3313,  3319,  3323,  3329,  3331,
    3343,  3347,  3359,  3361,  3371,  3373,  3389,  3391,  3407,  3413,
    3433,  3449,  3457,  3461,  3463,  3467,  3469,  3491,  3499,  3511,
    3517,  3527,  3529,  3533,  3539,  3541,  3547,  3557,  3559,  3571,
    3581,  3583,  3593,  3607,  3613,  3617,  3623,  3631,  3637,  3643,
    3659,  3671,  3673,  3677,  3691,  3697,  3701,  3709,  3719,  3727,
    3733,  3739,  3761,  3767,  3769,  3779,  3793,  3797,  3803,  3821,
    3823,  3833,  3847,  3851,  3853,  3863,  3877,  3881,  3889,  3907,
    3911,  3917,  3919,  3923,  3929,  3931,  3943,  3947,  3967,  3989,
    4001,  4003,  4007,  4013,  4019,  4021,  4027,  4049,  4051,  4057,
    4073,  4079,  4091,  4093,  4099,  4111,  4127,  4129,  4133,  4139,
    4153,  4157,  4159,  4177,  4201,  4211,  4217,  4219,  4229,  4231,
    4241,  4243,  4253,  4259,  4261,  4271,  4273,  4283,  4289,  4297,
    4327,  4337,  4339,  4349,  4357,  4363,  4373,  4391,  4397,  4409,
    4421,  4423,  4441,  4447,  4451,  4457,  4463,  4481,  4483,  4493,
    4507,  4513,  4517,  4519,  4523,  4547,  4549,  4561,  4567,  4583,
    4591,  4597,  4603,  4621,  4637,  4639,  4643,  4649,  4651,  4657,
    4663,  4673,  4679,  4691,  4703,  4721,  4723,  4729,  4733,  4751,
    4759,  4783,  4787,  4789,  4793,  4799,  4801,  4813,  4817,  4831,
    4861,  4871,  4877,  4889,  4903,  4909,  4919,  4931,  4933,  4937,
    4943,  4951,  4957,  4967,  4969,  4973,  4987,  4993,  4999,  5003,
    5009,  5011,  5021,  5023,  5039,  5051,  5059,  5077,  5081,  5087,
    5099,  5101,  5107,  5113,  5119,  5147,  5153,  5167,  5171,  5179,
    5189,  5197,  5209,  5227,  5231,  5233,  5237,  5261,  5273,  5279,
    5281,  5297,  5303,  5309,  5323,  5333,  5347,  5351,  5381,  5387,
    5393,  5399,  5407,  5413,  5417,  5419,  5431,  5437,  5441,  5443,
    5449,  5471,  5477,  5479,  5483,  5501,  5503,  5507,  5519,  5521,
    5527,  5531,  5557,  5563,  5569,  5573,  5581,  5591,  5623,  5639,
    5641,  5647,  5651,  5653,  5657,  5659,  5669,  5683,  5689,  5693,
    5701,  5711,  5717,  5737,  5741,  5743,  5749,  5779,  5783,  5791,
    5801,  5807,  5813,  5821,  5827,  5839,  5843,  5849,  5851,  5857,
    5861,  5867,  5869,  5879,  5881,  5897,  5903,  5923,  5927,  5939,
    5953,  5981,  5987,  6007,  6011,  6029,  6037,  6043,  6047,  6053,
    6067,  6073,  6079,  6089,  6091,  6101,  6113,  6121,  6131,  6133,
    6143,  6151,  6163,  6173,  6197,  6199,  6203,  6211,  6217,  6221,
    6229,  6247,  6257,  6263,  6269,  6271,  6277,  6287,  6299,  6301,
    6311,  6317,  6323,  6329,  6337,  6343,  6353,  6359,  6361,  6367,
    6373,  6379,  6389,  6397,  6421,  6427,  6449,  6451,  6469,  6473,
    6481,  6491,  6521,  6529,  6547,  6551,  6553,  6563,  6569,  6571,
    6577,  6581,  6599,  6607,  6619,  6637,  6653,  6659,  6661,  6673,
    6679,  6689,  6691,  6701,  6703,  6709,  6719,  6733,  6737,  6761,
    6763,  6779,  6781,  6791,  6793,  6803,  6823,  6827,  6829,  6833,
    6841,  6857,  6863,  6869,  6871,  6883,  6899,  6907,  6911,  6917,
    6947,  6949,  6959,  6961,  6967,  6971,  6977,  6983,  6991,  6997,
    7001,  7013,  7019,  7027,  7039,  7043,  7057,  7069,  7079,  7103,
    7109,  7121,  7127,  7129,  7151,  7159,  7177,  7187,  7193,  7207,
    7211,  7213,  7219,  7229,  7237,  7243,  7247,  7253,  7283,  7297,
    7307,  7309,  7321,  7331,  7333,  7349,  7351,  7369,  7393,  7411,
    7417,  7433,  7451,  7457,  7459,  7477,  7481,  7487,  7489,  7499,
    7507,  7517,  7523,  7529,  7537,  7541,  7547,  7549,  7559,  7561,
    7573,  7577,  7583,  7589,  7591,  7603,  7607,  7621,  7639,  7643,
    7649,  7669,  7673,  7681,  7687,  7691,  7699,  7703,  7717,  7723,
    7727,  7741,  7753,  7757,  7759,  7789,  7793,  7817,  7823,  7829,
    7841,  7853,  7867,  7873,  7877,  7879,  7883,  7901,  7907,  7919,
    7927,  7933,  7937,  7949,  7951,  7963,  7993,  8009,  8011,  8017,
    8039,  8053,  8059,  8069,  8081,  8087,  8089,  8093,  8101,  8111,
    8117,  8123,  8147,  8161,  8167,  8171,  8179,  8191,  8209,  8219,
    8221,  8231,  8233,  8237,  8243,  8263,  8269,  8273,  8287,  8291,
    8293,  8297,  8311,  8317,  8329,  8353,  8363,  8369,  8377,  8387,
    8389,  8419,  8423,  8429,  8431,  8443,  8447,  8461,  8467,  8501,
    8513,  8521,  8527,  8537,  8539,  8543,  8563,  8573,  8581,  8597,
    8599,  8609,  8623,  8627,  8629,  8641,  8647,  8663,  8669,  8677,
    8681,  8689,  8693,  8699,  8707,  8713,  8719,  8731,  8737,  8741,
    8747,  8753,  8761,  8779,  8783,  8803,  8807,  8819,  8821,  8831,
    8837,  8839,  8849,  8861,  8863,  8867,  8887,  8893,  8923,  8929,
    8933,  8941,  8951,  8963,  8969,  8971,  8999,  9001,  9007,  9011,
    9013,  9029,  9041,  9043,  9049,  9059,  9067,  9091,  9103,  9109,
    9127,  9133,  9137,  9151,  9157,  9161,  9173,  9181,  9187,  9199,
    9203,  9209,  9221,  9227,  9239,  9241,  9257,  9277,  9281,  9283,
    9293,  9311,  9319,  9323,  9337,  9341,  9343,  9349,  9371,  9377,
    9391,  9397,  9403,  9413,  9419,  9421,  9431,  9433,  9437,  9439,
    9461,  9463,  9467,  9473,  9479,  9491,  9497,  9511,  9521,  9533,
    9539,  9547,  9551,  9587,  9601,  9613,  9619,  9623,  9629,  9631,
    9643,  9649,  9661,  9677,  9679,  9689,  9697,  9719,  9721,  9733,
    9739,  9743,  9749,  9767,  9769,  9781,  9787,  9791,  9803,  9811,
    9817,  9829,  9833,  9839,  9851,  9857,  9859,  9871,  9883,  9887,
    9901,  9907,  9923,  9929,  9931,  9941,  9949,  9967,  9973,  10007,
    10009, 10037, 10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099,
    10103, 10111, 10133, 10139, 10141, 10151, 10159, 10163, 10169, 10177,
    10181, 10193, 10211, 10223, 10243, 10247, 10253, 10259, 10267, 10271,
    10273, 10289, 10301, 10303, 10313, 10321, 10331, 10333, 10337, 10343,
    10357, 10369, 10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459,
    10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, 10559, 10567,
    10589, 10597, 10601, 10607, 10613, 10627, 10631, 10639, 10651, 10657,
    10663, 10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739,
    10753, 10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859,
    10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949,
    10957, 10973, 10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059,
    11069, 11071, 11083, 11087, 11093, 11113, 11117, 11119, 11131, 11149,
    11159, 11161, 11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251,
    11257, 11261, 11273, 11279, 11287, 11299, 11311, 11317, 11321, 11329,
    11351, 11353, 11369, 11383, 11393, 11399, 11411, 11423, 11437, 11443,
    11447, 11467, 11471, 11483, 11489, 11491, 11497, 11503, 11519, 11527,
    11549, 11551, 11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657,
    11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, 11743, 11777,
    11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833,
    11839, 11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933,
    11939, 11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011,
    12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109,
    12113, 12119, 12143, 12149, 12157, 12161, 12163, 12197, 12203, 12211,
    12227, 12239, 12241, 12251, 12253, 12263, 12269, 12277, 12281, 12289,
    12301, 12323, 12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401,
    12409, 12413, 12421, 12433, 12437, 12451, 12457, 12473, 12479, 12487,
    12491, 12497, 12503, 12511, 12517, 12527, 12539, 12541, 12547, 12553,
    12569, 12577, 12583, 12589, 12601, 12611, 12613, 12619, 12637, 12641,
    12647, 12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739,
    12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823, 12829,
    12841, 12853, 12889, 12893, 12899, 12907, 12911, 12917, 12919, 12923,
    12941, 12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007,
    13009, 13033, 13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109,
    13121, 13127, 13147, 13151, 13159, 13163, 13171, 13177, 13183, 13187,
    13217, 13219, 13229, 13241, 13249, 13259, 13267, 13291, 13297, 13309,
    13313, 13327, 13331, 13337, 13339, 13367, 13381, 13397, 13399, 13411,
    13417, 13421, 13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499,
    13513, 13523, 13537, 13553, 13567, 13577, 13591, 13597, 13613, 13619,
    13627, 13633, 13649, 13669, 13679, 13681, 13687, 13691, 13693, 13697,
    13709, 13711, 13721, 13723, 13729, 13751, 13757, 13759, 13763, 13781,
    13789, 13799, 13807, 13829, 13831, 13841, 13859, 13873, 13877, 13879,
    13883, 13901, 13903, 13907, 13913, 13921, 13931, 13933, 13963, 13967,
    13997, 13999, 14009, 14011, 14029, 14033, 14051, 14057, 14071, 14081,
    14083, 14087, 14107, 14143, 14149, 14153, 14159, 14173, 14177, 14197,
    14207, 14221, 14243, 14249, 14251, 14281, 14293, 14303, 14321, 14323,
    14327, 14341, 14347, 14369, 14387, 14389, 14401, 14407, 14411, 14419,
    14423, 14431, 14437, 14447, 14449, 14461, 14479, 14489, 14503, 14519,
    14533, 14537, 14543, 14549, 14551, 14557, 14561, 14563, 14591, 14593,
    14621, 14627, 14629, 14633, 14639, 14653, 14657, 14669, 14683, 14699,
    14713, 14717, 14723, 14731, 14737, 14741, 14747, 14753, 14759, 14767,
    14771, 14779, 14783, 14797, 14813, 14821, 14827, 14831, 14843, 14851,
    14867, 14869, 14879, 14887, 14891, 14897, 14923, 14929, 14939, 14947,
    14951, 14957, 14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073,
    15077, 15083, 15091, 15101, 15107, 15121, 15131, 15137, 15139, 15149,
    15161, 15173, 15187, 15193, 15199, 15217, 15227, 15233, 15241, 15259,
    15263, 15269, 15271, 15277, 15287, 15289, 15299, 15307, 15313, 15319,
    15329, 15331, 15349, 15359, 15361, 15373, 15377, 15383, 15391, 15401,
    15413, 15427, 15439, 15443, 15451, 15461, 15467, 15473, 15493, 15497,
    15511, 15527, 15541, 15551, 15559, 15569, 15581, 15583, 15601, 15607,
    15619, 15629, 15641, 15643, 15647, 15649, 15661, 15667, 15671, 15679,
    15683, 15727, 15731, 15733, 15737, 15739, 15749, 15761, 15767, 15773,
    15787, 15791, 15797, 15803, 15809, 15817, 15823, 15859, 15877, 15881,
    15887, 15889, 15901, 15907, 15913, 15919, 15923, 15937, 15959, 15971,
    15973, 15991, 16001, 16007, 16033, 16057, 16061, 16063, 16067, 16069,
    16073, 16087, 16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183,
    16187, 16189, 16193, 16217, 16223, 16229, 16231, 16249, 16253, 16267,
    16273, 16301, 16319, 16333, 16339, 16349, 16361, 16363, 16369, 16381,
    16411, 16417, 16421, 16427, 16433, 16447, 16451, 16453, 16477, 16481,
    16487, 16493, 16519, 16529, 16547, 16553, 16561, 16567, 16573, 16603,
    16607, 16619, 16631, 16633, 16649, 16651, 16657, 16661, 16673, 16691,
    16693, 16699, 16703, 16729, 16741, 16747, 16759, 16763, 16787, 16811,
    16823, 16829, 16831, 16843, 16871, 16879, 16883, 16889, 16901, 16903,
    16921, 16927, 16931, 16937, 16943, 16963, 16979, 16981, 16987, 16993,
    17011, 17021, 17027, 17029, 17033, 17041, 17047, 17053, 17077, 17093,
    17099, 17107, 17117, 17123, 17137, 17159, 17167, 17183, 17189, 17191,
    17203, 17207, 17209, 17231, 17239, 17257, 17291, 17293, 17299, 17317,
    17321, 17327, 17333, 17341, 17351, 17359, 17377, 17383, 17387, 17389,
    17393, 17401, 17417, 17419, 17431, 17443, 17449, 17467, 17471, 17477,
    17483, 17489, 17491, 17497, 17509, 17519, 17539, 17551, 17569, 17573,
    17579, 17581, 17597, 17599, 17609, 17623, 17627, 17657, 17659, 17669,
    17681, 17683, 17707, 17713, 17729, 17737, 17747, 17749, 17761, 17783,
    17789, 17791, 17807, 17827, 17837, 17839, 17851, 17863, 17881, 17891,
    17903, 17909, 17911, 17921, 17923, 17929, 17939, 17957, 17959, 17971,
    17977, 17981, 17987, 17989, 18013, 18041, 18043, 18047, 18049, 18059,
    18061, 18077, 18089, 18097, 18119, 18121, 18127, 18131, 18133, 18143,
    18149, 18169, 18181, 18191, 18199, 18211, 18217, 18223, 18229, 18233,
    18251, 18253, 18257, 18269, 18287, 18289, 18301, 18307, 18311, 18313,
    18329, 18341, 18353, 18367, 18371, 18379, 18397, 18401, 18413, 18427,
    18433, 18439, 18443, 18451, 18457, 18461, 18481, 18493, 18503, 18517,
    18521, 18523, 18539, 18541, 18553, 18583, 18587, 18593, 18617, 18637,
    18661, 18671, 18679, 18691, 18701, 18713, 18719, 18731, 18743, 18749,
    18757, 18773, 18787, 18793, 18797, 18803, 18839, 18859, 18869, 18899,
    18911, 18913, 18917, 18919, 18947, 18959, 18973, 18979, 19001, 19009,
    19013, 19031, 19037, 19051, 19069, 19073, 19079, 19081, 19087, 19121,
    19139, 19141, 19157, 19163, 19181, 19183, 19207, 19211, 19213, 19219,
    19231, 19237, 19249, 19259, 19267, 19273, 19289, 19301, 19309, 19319,
    19333, 19373, 19379, 19381, 19387, 19391, 19403, 19417, 19421, 19423,
    19427, 19429, 19433, 19441, 19447, 19457, 19463, 19469, 19471, 19477,
    19483, 19489, 19501, 19507, 19531, 19541, 19543, 19553, 19559, 19571,
    19577, 19583, 19597, 19603, 19609, 19661, 19681, 19687, 19697, 19699,
    19709, 19717, 19727, 19739, 19751, 19753, 19759, 19763, 19777, 19793,
    19801, 19813, 19819, 19841, 19843, 19853, 19861, 19867, 19889, 19891,
    19913, 19919, 19927, 19937, 19949, 19961, 19963, 19973, 19979, 19991,
    19993, 19997, 20011, 20021, 20023, 20029, 20047, 20051, 20063, 20071,
    20089, 20101, 20107, 20113, 20117, 20123, 20129, 20143, 20147, 20149,
    20161, 20173, 20177, 20183, 20201, 20219, 20231, 20233, 20249, 20261,
    20269, 20287, 20297, 20323, 20327, 20333, 20341, 20347, 20353, 20357,
    20359, 20369, 20389, 20393, 20399, 20407, 20411, 20431, 20441, 20443,
    20477, 20479, 20483, 20507, 20509, 20521, 20533, 20543, 20549, 20551,
    20563, 20593, 20599, 20611, 20627, 20639, 20641, 20663, 20681, 20693,
    20707, 20717, 20719, 20731, 20743, 20747, 20749, 20753, 20759, 20771,
    20773, 20789, 20807, 20809, 20849, 20857, 20873, 20879, 20887, 20897,
    20899, 20903, 20921, 20929, 20939, 20947, 20959, 20963, 20981, 20983,
    21001, 21011, 21013, 21017, 21019, 21023, 21031, 21059, 21061, 21067,
    21089, 21101, 21107, 21121, 21139, 21143, 21149, 21157, 21163, 21169,
    21179, 21187, 21191, 21193, 21211, 21221, 21227, 21247, 21269, 21277,
    21283, 21313, 21317, 21319, 21323, 21341, 21347, 21377, 21379, 21383,
    21391, 21397, 21401, 21407, 21419, 21433, 21467, 21481, 21487, 21491,
    21493, 21499, 21503, 21517, 21521, 21523, 21529, 21557, 21559, 21563,
    21569, 21577, 21587, 21589, 21599, 21601, 21611, 21613, 21617, 21647,
    21649, 21661, 21673, 21683, 21701, 21713, 21727, 21737, 21739, 21751,
    21757, 21767, 21773, 21787, 21799, 21803, 21817, 21821, 21839, 21841,
    21851, 21859, 21863, 21871, 21881, 21893, 21911, 21929, 21937, 21943,
    21961, 21977, 21991, 21997, 22003, 22013, 22027, 22031, 22037, 22039,
    22051, 22063, 22067, 22073, 22079, 22091, 22093, 22109, 22111, 22123,
    22129, 22133, 22147, 22153, 22157, 22159, 22171, 22189, 22193, 22229,
    22247, 22259, 22271, 22273, 22277, 22279, 22283, 22291, 22303, 22307,
    22343, 22349, 22367, 22369, 22381, 22391, 22397, 22409, 22433, 22441,
    22447, 22453, 22469, 22481, 22483, 22501, 22511, 22531, 22541, 22543,
    22549, 22567, 22571, 22573, 22613, 22619, 22621, 22637, 22639, 22643,
    22651, 22669, 22679, 22691, 22697, 22699, 22709, 22717, 22721, 22727,
    22739, 22741, 22751, 22769, 22777, 22783, 22787, 22807, 22811, 22817,
    22853, 22859, 22861, 22871, 22877, 22901, 22907, 22921, 22937, 22943,
    22961, 22963, 22973, 22993, 23003, 23011, 23017, 23021, 23027, 23029,
    23039, 23041, 23053, 23057, 23059, 23063, 23071, 23081, 23087, 23099,
    23117, 23131, 23143, 23159, 23167, 23173, 23189, 23197, 23201, 23203,
    23209, 23227, 23251, 23269, 23279, 23291, 23293, 23297, 23311, 23321,
    23327, 23333, 23339, 23357, 23369, 23371, 23399, 23417, 23431, 23447,
    23459, 23473, 23497, 23509, 23531, 23537, 23539, 23549, 23557, 23561,
    23563, 23567, 23581, 23593, 23599, 23603, 23609, 23623, 23627, 23629,
    23633, 23663, 23669, 23671, 23677, 23687, 23689, 23719, 23741, 23743,
    23747, 23753, 23761, 23767, 23773, 23789, 23801, 23813, 23819, 23827,
    23831, 23833, 23857, 23869, 23873, 23879, 23887, 23893, 23899, 23909,
    23911, 23917, 23929, 23957, 23971, 23977, 23981, 23993, 24001, 24007,
    24019, 24023, 24029, 24043, 24049, 24061, 24071, 24077, 24083, 24091,
    24097, 24103, 24107, 24109, 24113, 24121, 24133, 24137, 24151, 24169,
    24179, 24181, 24197, 24203, 24223, 24229, 24239, 24247, 24251, 24281,
    24317, 24329, 24337, 24359, 24371, 24373, 24379, 24391, 24407, 24413,
    24419, 24421, 24439, 24443, 24469, 24473, 24481, 24499, 24509, 24517,
    24527, 24533, 24547, 24551, 24571, 24593, 24611, 24623, 24631, 24659,
    24671, 24677, 24683, 24691, 24697, 24709, 24733, 24749, 24763, 24767,
    24781, 24793, 24799, 24809, 24821, 24841, 24847, 24851, 24859, 24877,
    24889, 24907, 24917, 24919, 24923, 24943, 24953, 24967, 24971, 24977,
    24979, 24989, 25013, 25031, 25033, 25037, 25057, 25073, 25087, 25097,
    25111, 25117, 25121, 25127, 25147, 25153, 25163, 25169, 25171, 25183,
    25189, 25219, 25229, 25237, 25243, 25247, 25253, 25261, 25301, 25303,
    25307, 25309, 25321, 25339, 25343, 25349, 25357, 25367, 25373, 25391,
    25409, 25411, 25423, 25439, 25447, 25453, 25457, 25463, 25469, 25471,
    25523, 25537, 25541, 25561, 25577, 25579, 25583, 25589, 25601, 25603,
    25609, 25621, 25633, 25639, 25643, 25657, 25667, 25673, 25679, 25693,
    25703, 25717, 25733, 25741, 25747, 25759, 25763, 25771, 25793, 25799,
    25801, 25819, 25841, 25847, 25849, 25867, 25873, 25889, 25903, 25913,
    25919, 25931, 25933, 25939, 25943, 25951, 25969, 25981, 25997, 25999,
    26003, 26017, 26021, 26029, 26041, 26053, 26083, 26099, 26107, 26111,
    26113, 26119, 26141, 26153, 26161, 26171, 26177, 26183, 26189, 26203,
    26209, 26227, 26237, 26249, 26251, 26261, 26263, 26267, 26293, 26297,
    26309, 26317, 26321, 26339, 26347, 26357, 26371, 26387, 26393, 26399,
    26407, 26417, 26423, 26431, 26437, 26449, 26459, 26479, 26489, 26497,
    26501, 26513, 26539, 26557, 26561, 26573, 26591, 26597, 26627, 26633,
    26641, 26647, 26669, 26681, 26683, 26687, 26693, 26699, 26701, 26711,
    26713, 26717, 26723, 26729, 26731, 26737, 26759, 26777, 26783, 26801,
    26813, 26821, 26833, 26839, 26849, 26861, 26863, 26879, 26881, 26891,
    26893, 26903, 26921, 26927, 26947, 26951, 26953, 26959, 26981, 26987,
    26993, 27011, 27017, 27031, 27043, 27059, 27061, 27067, 27073, 27077,
    27091, 27103, 27107, 27109, 27127, 27143, 27179, 27191, 27197, 27211,
    27239, 27241, 27253, 27259, 27271, 27277, 27281, 27283, 27299, 27329,
    27337, 27361, 27367, 27397, 27407, 27409, 27427, 27431, 27437, 27449,
    27457, 27479, 27481, 27487, 27509, 27527, 27529, 27539, 27541, 27551,
    27581, 27583, 27611, 27617, 27631, 27647, 27653, 27673, 27689, 27691,
    27697, 27701, 27733, 27737, 27739, 27743, 27749, 27751, 27763, 27767,
    27773, 27779, 27791, 27793, 27799, 27803, 27809, 27817, 27823, 27827,
    27847, 27851, 27883, 27893, 27901, 27917, 27919, 27941, 27943, 27947,
    27953, 27961, 27967, 27983, 27997, 28001, 28019, 28027, 28031, 28051,
    28057, 28069, 28081, 28087, 28097, 28099, 28109, 28111, 28123, 28151,
    28163, 28181, 28183, 28201, 28211, 28219, 28229, 28277, 28279, 28283,
    28289, 28297, 28307, 28309, 28319, 28349, 28351, 28387, 28393, 28403,
    28409, 28411, 28429, 28433, 28439, 28447, 28463, 28477, 28493, 28499,
    28513, 28517, 28537, 28541, 28547, 28549, 28559, 28571, 28573, 28579,
    28591, 28597, 28603, 28607, 28619, 28621, 28627, 28631, 28643, 28649,
    28657, 28661, 28663, 28669, 28687, 28697, 28703, 28711, 28723, 28729,
    28751, 28753, 28759, 28771, 28789, 28793, 28807, 28813, 28817, 28837,
    28843, 28859, 28867, 28871, 28879, 28901, 28909, 28921, 28927, 28933,
    28949, 28961, 28979, 29009, 29017, 29021, 29023, 29027, 29033, 29059,
    29063, 29077, 29101, 29123, 29129, 29131, 29137, 29147, 29153, 29167,
    29173, 29179, 29191, 29201, 29207, 29209, 29221, 29231, 29243, 29251,
    29269, 29287, 29297, 29303, 29311, 29327, 29333, 29339, 29347, 29363,
    29383, 29387, 29389, 29399, 29401, 29411, 29423, 29429, 29437, 29443,
    29453, 29473, 29483, 29501, 29527, 29531, 29537, 29567, 29569, 29573,
    29581, 29587, 29599, 29611, 29629, 29633, 29641, 29663, 29669, 29671,
    29683, 29717, 29723, 29741, 29753, 29759, 29761, 29789, 29803, 29819,
    29833, 29837, 29851, 29863, 29867, 29873, 29879, 29881, 29917, 29921,
    29927, 29947, 29959, 29983, 29989, 30011, 30013, 30029, 30047, 30059,
    30071, 30089, 30091, 30097, 30103, 30109, 30113, 30119, 30133, 30137,
    30139, 30161, 30169, 30181, 30187, 30197, 30203, 30211, 30223, 30241,
    30253, 30259, 30269, 30271, 30293, 30307, 30313, 30319, 30323, 30341,
    30347, 30367, 30389, 30391, 30403, 30427, 30431, 30449, 30467, 30469,
    30491, 30493, 30497, 30509, 30517, 30529, 30539, 30553, 30557, 30559,
    30577, 30593, 30631, 30637, 30643, 30649, 30661, 30671, 30677, 30689,
    30697, 30703, 30707, 30713, 30727, 30757, 30763, 30773, 30781, 30803,
    30809, 30817, 30829, 30839, 30841, 30851, 30853, 30859, 30869, 30871,
    30881, 30893, 30911, 30931, 30937, 30941, 30949, 30971, 30977, 30983,
    31013, 31019, 31033, 31039, 31051, 31063, 31069, 31079, 31081, 31091,
    31121, 31123, 31139, 31147, 31151, 31153, 31159, 31177, 31181, 31183,
    31189, 31193, 31219, 31223, 31231, 31237, 31247, 31249, 31253, 31259,
    31267, 31271, 31277, 31307, 31319, 31321, 31327, 31333, 31337, 31357,
    31379, 31387, 31391, 31393, 31397, 31469, 31477, 31481, 31489, 31511,
    31513, 31517, 31531, 31541, 31543, 31547, 31567, 31573, 31583, 31601,
    31607, 31627, 31643, 31649, 31657, 31663, 31667, 31687, 31699, 31721,
    31723, 31727, 31729, 31741, 31751, 31769, 31771, 31793, 31799, 31817,
    31847, 31849, 31859, 31873, 31883, 31891, 31907, 31957, 31963, 31973,
    31981, 31991, 32003, 32009, 32027, 32029, 32051, 32057, 32059, 32063,
    32069, 32077, 32083, 32089, 32099, 32117, 32119, 32141, 32143, 32159,
    32173, 32183, 32189, 32191, 32203, 32213, 32233, 32237, 32251, 32257,
    32261, 32297, 32299, 32303, 32309, 32321, 32323, 32327, 32341, 32353,
    32359, 32363, 32369, 32371, 32377, 32381, 32401, 32411, 32413, 32423,
    32429, 32441, 32443, 32467, 32479, 32491, 32497, 32503, 32507, 32531,
    32533, 32537, 32561, 32563, 32569, 32573, 32579, 32587, 32603, 32609,
    32611, 32621, 32633, 32647, 32653, 32687, 32693, 32707, 32713, 32717,
    32719, 32749, 32771, 32779, 32783, 32789, 32797, 32801, 32803, 32831,
    32833, 32839, 32843, 32869, 32887, 32909, 32911, 32917, 32933, 32939,
    32941, 32957, 32969, 32971, 32983, 32987, 32993, 32999, 33013, 33023,
    33029, 33037, 33049, 33053, 33071, 33073, 33083, 33091, 33107, 33113,
    33119, 33149, 33151, 33161, 33179, 33181, 33191, 33199, 33203, 33211,
    33223, 33247, 33287, 33289, 33301, 33311, 33317, 33329, 33331, 33343,
    33347, 33349, 33353, 33359, 33377, 33391, 33403, 33409, 33413, 33427,
    33457, 33461, 33469, 33479, 33487, 33493, 33503, 33521, 33529, 33533,
    33547, 33563, 33569, 33577, 33581, 33587, 33589, 33599, 33601, 33613,
    33617, 33619, 33623, 33629, 33637, 33641, 33647, 33679, 33703, 33713,
    33721, 33739, 33749, 33751, 33757, 33767, 33769, 33773, 33791, 33797,
    33809, 33811, 33827, 33829, 33851, 33857, 33863, 33871, 33889, 33893,
    33911, 33923, 33931, 33937, 33941, 33961, 33967, 33997, 34019, 34031,
    34033, 34039, 34057, 34061, 34123, 34127, 34129, 34141, 34147, 34157,
    34159, 34171, 34183, 34211, 34213, 34217, 34231, 34253, 34259, 34261,
    34267, 34273, 34283, 34297, 34301, 34303, 34313, 34319, 34327, 34337,
    34351, 34361, 34367, 34369, 34381, 34403, 34421, 34429, 34439, 34457,
    34469, 34471, 34483, 34487, 34499, 34501, 34511, 34513, 34519, 34537,
    34543, 34549, 34583, 34589, 34591, 34603, 34607, 34613, 34631, 34649,
    34651, 34667, 34673, 34679, 34687, 34693, 34703, 34721, 34729, 34739,
    34747, 34757, 34759, 34763, 34781, 34807, 34819, 34841, 34843, 34847,
    34849, 34871, 34877, 34883, 34897, 34913, 34919, 34939, 34949, 34961,
    34963, 34981, 35023, 35027, 35051, 35053, 35059, 35069, 35081, 35083,
    35089, 35099, 35107, 35111, 35117, 35129, 35141, 35149, 35153, 35159,
    35171, 35201, 35221, 35227, 35251, 35257, 35267, 35279, 35281, 35291,
    35311, 35317, 35323, 35327, 35339, 35353, 35363, 35381, 35393, 35401,
    35407, 35419, 35423, 35437, 35447, 35449, 35461, 35491, 35507, 35509,
    35521, 35527, 35531, 35533, 35537, 35543, 35569, 35573, 35591, 35593,
    35597, 35603, 35617, 35671, 35677, 35729, 35731, 35747, 35753, 35759,
    35771, 35797, 35801, 35803, 35809, 35831, 35837, 35839, 35851, 35863,
    35869, 35879, 35897, 35899, 35911, 35923, 35933, 35951, 35963, 35969,
    35977, 35983, 35993, 35999, 36007, 36011, 36013, 36017, 36037, 36061,
    36067, 36073, 36083, 36097, 36107, 36109, 36131, 36137, 36151, 36161,
    36187, 36191, 36209, 36217, 36229, 36241, 36251, 36263, 36269, 36277,
    36293, 36299, 36307, 36313, 36319, 36341, 36343, 36353, 36373, 36383,
    36389, 36433, 36451, 36457, 36467, 36469, 36473, 36479, 36493, 36497,
    36523, 36527, 36529, 36541, 36551, 36559, 36563, 36571, 36583, 36587,
    36599, 36607, 36629, 36637, 36643, 36653, 36671, 36677, 36683, 36691,
    36697, 36709, 36713, 36721, 36739, 36749, 36761, 36767, 36779, 36781,
    36787, 36791, 36793, 36809, 36821, 36833, 36847, 36857, 36871, 36877,
    36887, 36899, 36901, 36913, 36919, 36923, 36929, 36931, 36943, 36947,
    36973, 36979, 36997, 37003, 37013, 37019, 37021, 37039, 37049, 37057,
    37061, 37087, 37097, 37117, 37123, 37139, 37159, 37171, 37181, 37189,
    37199, 37201, 37217, 37223, 37243, 37253, 37273, 37277, 37307, 37309,
    37313, 37321, 37337, 37339, 37357, 37361, 37363, 37369, 37379, 37397,
    37409, 37423, 37441, 37447, 37463, 37483, 37489, 37493, 37501, 37507,
    37511, 37517, 37529, 37537, 37547, 37549, 37561, 37567, 37571, 37573,
    37579, 37589, 37591, 37607, 37619, 37633, 37643, 37649, 37657, 37663,
    37691, 37693, 37699, 37717, 37747, 37781, 37783, 37799, 37811, 37813,
    37831, 37847, 37853, 37861, 37871, 37879, 37889, 37897, 37907, 37951,
    37957, 37963, 37967, 37987, 37991, 37993, 37997, 38011, 38039, 38047,
    38053, 38069, 38083, 38113, 38119, 38149, 38153, 38167, 38177, 38183,
    38189, 38197, 38201, 38219, 38231, 38237, 38239, 38261, 38273, 38281,
    38287, 38299, 38303, 38317, 38321, 38327, 38329, 38333, 38351, 38371,
    38377, 38393, 38431, 38447, 38449, 38453, 38459, 38461, 38501, 38543,
    38557, 38561, 38567, 38569, 38593, 38603, 38609, 38611, 38629, 38639,
    38651, 38653, 38669, 38671, 38677, 38693, 38699, 38707, 38711, 38713,
    38723, 38729, 38737, 38747, 38749, 38767, 38783, 38791, 38803, 38821,
    38833, 38839, 38851, 38861, 38867, 38873, 38891, 38903, 38917, 38921,
    38923, 38933, 38953, 38959, 38971, 38977, 38993, 39019, 39023, 39041,
    39043, 39047, 39079, 39089, 39097, 39103, 39107, 39113, 39119, 39133,
    39139, 39157, 39161, 39163, 39181, 39191, 39199, 39209, 39217, 39227,
    39229, 39233, 39239, 39241, 39251, 39293, 39301, 39313, 39317, 39323,
    39341, 39343, 39359, 39367, 39371, 39373, 39383, 39397, 39409, 39419,
    39439, 39443, 39451, 39461, 39499, 39503, 39509, 39511, 39521, 39541,
    39551, 39563, 39569, 39581, 39607, 39619, 39623, 39631, 39659, 39667,
    39671, 39679, 39703, 39709, 39719, 39727, 39733, 39749, 39761, 39769,
    39779, 39791, 39799, 39821, 39827, 39829, 39839, 39841, 39847, 39857,
    39863, 39869, 39877, 39883, 39887, 39901, 39929, 39937, 39953, 39971,
    39979, 39983, 39989, 40009, 40013, 40031, 40037, 40039, 40063, 40087,
    40093, 40099, 40111, 40123, 40127, 40129, 40151, 40153, 40163, 40169,
    40177, 40189, 40193, 40213, 40231, 40237, 40241, 40253, 40277, 40283,
    40289, 40343, 40351, 40357, 40361, 40387, 40423, 40427, 40429, 40433,
    40459, 40471, 40483, 40487, 40493, 40499, 40507, 40519, 40529, 40531,
    40543, 40559, 40577, 40583, 40591, 40597, 40609, 40627, 40637, 40639,
    40693, 40697, 40699, 40709, 40739, 40751, 40759, 40763, 40771, 40787,
    40801, 40813, 40819, 40823, 40829, 40841, 40847, 40849, 40853, 40867,
    40879, 40883, 40897, 40903, 40927, 40933, 40939, 40949, 40961, 40973,
    40993, 41011, 41017, 41023, 41039, 41047, 41051, 41057, 41077, 41081,
    41113, 41117, 41131, 41141, 41143, 41149, 41161, 41177, 41179, 41183,
    41189, 41201, 41203, 41213, 41221, 41227, 41231, 41233, 41243, 41257,
    41263, 41269, 41281, 41299, 41333, 41341, 41351, 41357, 41381, 41387,
    41389, 41399, 41411, 41413, 41443, 41453, 41467, 41479, 41491, 41507,
    41513, 41519, 41521, 41539, 41543, 41549, 41579, 41593, 41597, 41603,
    41609, 41611, 41617, 41621, 41627, 41641, 41647, 41651, 41659, 41669,
    41681, 41687, 41719, 41729, 41737, 41759, 41761, 41771, 41777, 41801,
    41809, 41813, 41843, 41849, 41851, 41863, 41879, 41887, 41893, 41897,
    41903, 41911, 41927, 41941, 41947, 41953, 41957, 41959, 41969, 41981,
    41983, 41999, 42013, 42017, 42019, 42023, 42043, 42061, 42071, 42073,
    42083, 42089, 42101, 42131, 42139, 42157, 42169, 42179, 42181, 42187,
    42193, 42197, 42209, 42221, 42223, 42227, 42239, 42257, 42281, 42283,
    42293, 42299, 42307, 42323, 42331, 42337, 42349, 42359, 42373, 42379,
    42391, 42397, 42403, 42407, 42409, 42433, 42437, 42443, 42451, 42457,
    42461, 42463, 42467, 42473, 42487, 42491, 42499, 42509, 42533, 42557,
    42569, 42571, 42577, 42589, 42611, 42641, 42643, 42649, 42667, 42677,
    42683, 42689, 42697, 42701, 42703, 42709, 42719, 42727, 42737, 42743,
    42751, 42767, 42773, 42787, 42793, 42797, 42821, 42829, 42839, 42841,
    42853, 42859, 42863, 42899, 42901, 42923, 42929, 42937, 42943, 42953,
    42961, 42967, 42979, 42989, 43003, 43013, 43019, 43037, 43049, 43051,
    43063, 43067, 43093, 43103, 43117, 43133, 43151, 43159, 43177, 43189,
    43201, 43207, 43223, 43237, 43261, 43271, 43283, 43291, 43313, 43319,
    43321, 43331, 43391, 43397, 43399, 43403, 43411, 43427, 43441, 43451,
    43457, 43481, 43487, 43499, 43517, 43541, 43543, 43573, 43577, 43579,
    43591, 43597, 43607, 43609, 43613, 43627, 43633, 43649, 43651, 43661,
    43669, 43691, 43711, 43717, 43721, 43753, 43759, 43777, 43781, 43783,
    43787, 43789, 43793, 43801, 43853, 43867, 43889, 43891, 43913, 43933,
    43943, 43951, 43961, 43963, 43969, 43973, 43987, 43991, 43997, 44017,
    44021, 44027, 44029, 44041, 44053, 44059, 44071, 44087, 44089, 44101,
    44111, 44119, 44123, 44129, 44131, 44159, 44171, 44179, 44189, 44201,
    44203, 44207, 44221, 44249, 44257, 44263, 44267, 44269, 44273, 44279,
    44281, 44293, 44351, 44357, 44371, 44381, 44383, 44389, 44417, 44449,
    44453, 44483, 44491, 44497, 44501, 44507, 44519, 44531, 44533, 44537,
    44543, 44549, 44563, 44579, 44587, 44617, 44621, 44623, 44633, 44641,
    44647, 44651, 44657, 44683, 44687, 44699, 44701, 44711, 44729, 44741,
    44753, 44771, 44773, 44777, 44789, 44797, 44809, 44819, 44839, 44843,
    44851, 44867, 44879, 44887, 44893, 44909, 44917, 44927, 44939, 44953,
    44959, 44963, 44971, 44983, 44987, 45007, 45013, 45053, 45061, 45077,
    45083, 45119, 45121, 45127, 45131, 45137, 45139, 45161, 45179, 45181,
    45191, 45197, 45233, 45247, 45259, 45263, 45281, 45289, 45293, 45307,
    45317, 45319, 45329, 45337, 45341, 45343, 45361, 45377, 45389, 45403,
    45413, 45427, 45433, 45439, 45481, 45491, 45497, 45503, 45523, 45533,
    45541, 45553, 45557, 45569, 45587, 45589, 45599, 45613, 45631, 45641,
    45659, 45667, 45673, 45677, 45691, 45697, 45707, 45737, 45751, 45757,
    45763, 45767, 45779, 45817, 45821, 45823, 45827, 45833, 45841, 45853,
    45863, 45869, 45887, 45893, 45943, 45949, 45953, 45959, 45971, 45979,
    45989, 46021, 46027, 46049, 46051, 46061, 46073, 46091, 46093, 46099,
    46103, 46133, 46141, 46147, 46153, 46171, 46181, 46183, 46187, 46199,
    46219, 46229, 46237, 46261, 46271, 46273, 46279, 46301, 46307, 46309,
    46327, 46337, 46349, 46351, 46381, 46399, 46411, 46439, 46441, 46447,
    46451, 46457, 46471, 46477, 46489, 46499, 46507, 46511, 46523, 46549,
    46559, 46567, 46573, 46589, 46591, 46601, 46619, 46633, 46639, 46643,
    46649, 46663, 46679, 46681, 46687, 46691, 46703, 46723, 46727, 46747,
    46751, 46757, 46769, 46771, 46807, 46811, 46817, 46819, 46829, 46831,
    46853, 46861, 46867, 46877, 46889, 46901, 46919, 46933, 46957, 46993,
    46997, 47017, 47041, 47051, 47057, 47059, 47087, 47093, 47111, 47119,
    47123, 47129, 47137, 47143, 47147, 47149, 47161, 47189, 47207, 47221,
    47237, 47251, 47269, 47279, 47287, 47293, 47297, 47303, 47309, 47317,
    47339, 47351, 47353, 47363, 47381, 47387, 47389, 47407, 47417, 47419,
    47431, 47441, 47459, 47491, 47497, 47501, 47507, 47513, 47521, 47527,
    47533, 47543, 47563, 47569, 47581, 47591, 47599, 47609, 47623, 47629,
    47639, 47653, 47657, 47659, 47681, 47699, 47701, 47711, 47713, 47717,
    47737, 47741, 47743, 47777, 47779, 47791, 47797, 47807, 47809, 47819,
    47837, 47843, 47857, 47869, 47881, 47903, 47911, 47917, 47933, 47939,
    47947, 47951, 47963, 47969, 47977, 47981, 48017, 48023, 48029, 48049,
    48073, 48079, 48091, 48109, 48119, 48121, 48131, 48157, 48163, 48179,
    48187, 48193, 48197, 48221, 48239, 48247, 48259, 48271, 48281, 48299,
    48311, 48313, 48337, 48341, 48353, 48371, 48383, 48397, 48407, 48409,
    48413, 48437, 48449, 48463, 48473, 48479, 48481, 48487, 48491, 48497,
    48523, 48527, 48533, 48539, 48541, 48563, 48571, 48589, 48593, 48611,
    48619, 48623, 48647, 48649, 48661, 48673, 48677, 48679, 48731, 48733,
    48751, 48757, 48761, 48767, 48779, 48781, 48787, 48799, 48809, 48817,
    48821, 48823, 48847, 48857, 48859, 48869, 48871, 48883, 48889, 48907,
    48947, 48953, 48973, 48989, 48991, 49003, 49009, 49019, 49031, 49033,
    49037, 49043, 49057, 49069, 49081, 49103, 49109, 49117, 49121, 49123,
    49139, 49157, 49169, 49171, 49177, 49193, 49199, 49201, 49207, 49211,
    49223, 49253, 49261, 49277, 49279, 49297, 49307, 49331, 49333, 49339,
    49363, 49367, 49369, 49391, 49393, 49409, 49411, 49417, 49429, 49433,
    49451, 49459, 49463, 49477, 49481, 49499, 49523, 49529, 49531, 49537,
    49547, 49549, 49559, 49597, 49603, 49613, 49627, 49633, 49639, 49663,
    49667, 49669, 49681, 49697, 49711, 49727, 49739, 49741, 49747, 49757,
    49783, 49787, 49789, 49801, 49807, 49811, 49823, 49831, 49843, 49853,
    49871, 49877, 49891, 49919, 49921, 49927, 49937, 49939, 49943, 49957,
    49991, 49993, 49999, 50021, 50023, 50033, 50047, 50051, 50053, 50069,
    50077, 50087, 50093, 50101, 50111, 50119, 50123, 50129, 50131, 50147,
    50153, 50159, 50177, 50207, 50221, 50227, 50231, 50261, 50263, 50273,
    50287, 50291, 50311, 50321, 50329, 50333, 50341, 50359, 50363, 50377,
    50383, 50387, 50411, 50417, 50423, 50441, 50459, 50461, 50497, 50503,
    50513, 50527, 50539, 50543, 50549, 50551, 50581, 50587, 50591, 50593,
    50599, 50627, 50647, 50651, 50671, 50683, 50707, 50723, 50741, 50753,
    50767, 50773, 50777, 50789, 50821, 50833, 50839, 50849, 50857, 50867,
    50873, 50891, 50893, 50909, 50923, 50929, 50951, 50957, 50969, 50971,
    50989, 50993, 51001, 51031, 51043, 51047, 51059, 51061, 51071, 51109,
    51131, 51133, 51137, 51151, 51157, 51169, 51193, 51197, 51199, 51203,
    51217, 51229, 51239, 51241, 51257, 51263, 51283, 51287, 51307, 51329,
    51341, 51343, 51347, 51349, 51361, 51383, 51407, 51413, 51419, 51421,
    51427, 51431, 51437, 51439, 51449, 51461, 51473, 51479, 51481, 51487,
    51503, 51511, 51517, 51521, 51539, 51551, 51563, 51577, 51581, 51593,
    51599, 51607, 51613, 51631, 51637, 51647, 51659, 51673, 51679, 51683,
    51691, 51713, 51719, 51721, 51749, 51767, 51769, 51787, 51797, 51803,
    51817, 51827, 51829, 51839, 51853, 51859, 51869, 51871, 51893, 51899,
    51907, 51913, 51929, 51941, 51949, 51971, 51973, 51977, 51991, 52009,
    52021, 52027, 52051, 52057, 52067, 52069, 52081, 52103, 52121, 52127,
    52147, 52153, 52163, 52177, 52181, 52183, 52189, 52201, 52223, 52237,
    52249, 52253, 52259, 52267, 52289, 52291, 52301, 52313, 52321, 52361,
    52363, 52369, 52379, 52387, 52391, 52433, 52453, 52457, 52489, 52501,
    52511, 52517, 52529, 52541, 52543, 52553, 52561, 52567, 52571, 52579,
    52583, 52609, 52627, 52631, 52639, 52667, 52673, 52691, 52697, 52709,
    52711, 52721, 52727, 52733, 52747, 52757, 52769, 52783, 52807, 52813,
    52817, 52837, 52859, 52861, 52879, 52883, 52889, 52901, 52903, 52919,
    52937, 52951, 52957, 52963, 52967, 52973, 52981, 52999, 53003, 53017,
    53047, 53051, 53069, 53077, 53087, 53089, 53093, 53101, 53113, 53117,
    53129, 53147, 53149, 53161, 53171, 53173, 53189, 53197, 53201, 53231,
    53233, 53239, 53267, 53269, 53279, 53281, 53299, 53309, 53323, 53327,
    53353, 53359, 53377, 53381, 53401, 53407, 53411, 53419, 53437, 53441,
    53453, 53479, 53503, 53507, 53527, 53549, 53551, 53569, 53591, 53593,
    53597, 53609, 53611, 53617, 53623, 53629, 53633, 53639, 53653, 53657,
    53681, 53693, 53699, 53717, 53719, 53731, 53759, 53773, 53777, 53783,
    53791, 53813, 53819, 53831, 53849, 53857, 53861, 53881, 53887, 53891,
    53897, 53899, 53917, 53923, 53927, 53939, 53951, 53959, 53987, 53993,
    54001, 54011, 54013, 54037, 54049, 54059, 54083, 54091, 54101, 54121,
    54133, 54139, 54151, 54163, 54167, 54181, 54193, 54217, 54251, 54269,
    54277, 54287, 54293, 54311, 54319, 54323, 54331, 54347, 54361, 54367,
    54371, 54377, 54401, 54403, 54409, 54413, 54419, 54421, 54437, 54443,
    54449, 54469, 54493, 54497, 54499, 54503, 54517, 54521, 54539, 54541,
    54547, 54559, 54563, 54577, 54581, 54583, 54601, 54617, 54623, 54629,
    54631, 54647, 54667, 54673, 54679, 54709, 54713, 54721, 54727, 54751,
    54767, 54773, 54779, 54787, 54799, 54829, 54833, 54851, 54869, 54877,
    54881, 54907, 54917, 54919, 54941, 54949, 54959, 54973, 54979, 54983,
    55001, 55009, 55021, 55049, 55051, 55057, 55061, 55073, 55079, 55103,
    55109, 55117, 55127, 55147, 55163, 55171, 55201, 55207, 55213, 55217,
    55219, 55229, 55243, 55249, 55259, 55291, 55313, 55331, 55333, 55337,
    55339, 55343, 55351, 55373, 55381, 55399, 55411, 55439, 55441, 55457,
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    55609, 55619, 55621, 55631, 55633, 55639, 55661, 55663, 55667, 55673,
    55681, 55691, 55697, 55711, 55717, 55721, 55733, 55763, 55787, 55793,
    55799, 55807, 55813, 55817, 55819, 55823, 55829, 55837, 55843, 55849,
    55871, 55889, 55897, 55901, 55903, 55921, 55927, 55931, 55933, 55949,
    55967, 55987, 55997, 56003, 56009, 56039, 56041, 56053, 56081, 56087,
    56093, 56099, 56101, 56113, 56123, 56131, 56149, 56167, 56171, 56179,
    56197, 56207, 56209, 56237, 56239, 56249, 56263, 56267, 56269, 56299,
    56311, 56333, 56359, 56369, 56377, 56383, 56393, 56401, 56417, 56431,
    56437, 56443, 56453, 56467, 56473, 56477, 56479, 56489, 56501, 56503,
    56509, 56519, 56527, 56531, 56533, 56543, 56569, 56591, 56597, 56599,
    56611, 56629, 56633, 56659, 56663, 56671, 56681, 56687, 56701, 56711,
    56713, 56731, 56737, 56747, 56767, 56773, 56779, 56783, 56807, 56809,
    56813, 56821, 56827, 56843, 56857, 56873, 56891, 56893, 56897, 56909,
    56911, 56921, 56923, 56929, 56941, 56951, 56957, 56963, 56983, 56989,
    56993, 56999, 57037, 57041, 57047, 57059, 57073, 57077, 57089, 57097,
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    57193, 57203, 57221, 57223, 57241, 57251, 57259, 57269, 57271, 57283,
    57287, 57301, 57329, 57331, 57347, 57349, 57367, 57373, 57383, 57389,
    57397, 57413, 57427, 57457, 57467, 57487, 57493, 57503, 57527, 57529,
    57557, 57559, 57571, 57587, 57593, 57601, 57637, 57641, 57649, 57653,
    57667, 57679, 57689, 57697, 57709, 57713, 57719, 57727, 57731, 57737,
    57751, 57773, 57781, 57787, 57791, 57793, 57803, 57809, 57829, 57839,
    57847, 57853, 57859, 57881, 57899, 57901, 57917, 57923, 57943, 57947,
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    58603, 58613, 58631, 58657, 58661, 58679, 58687, 58693, 58699, 58711,
    58727, 58733, 58741, 58757, 58763, 58771, 58787, 58789, 58831, 58889,
    58897, 58901, 58907, 58909, 58913, 58921, 58937, 58943, 58963, 58967,
    58979, 58991, 58997, 59009, 59011, 59021, 59023, 59029, 59051, 59053,
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    59753, 59771, 59779, 59791, 59797, 59809, 59833, 59863, 59879, 59887,
    59921, 59929, 59951, 59957, 59971, 59981, 59999, 60013, 60017, 60029,
    60037, 60041, 60077, 60083, 60089, 60091, 60101, 60103, 60107, 60127,
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    60821, 60859, 60869, 60887, 60889, 60899, 60901, 60913, 60917, 60919,
    60923, 60937, 60943, 60953, 60961, 61001, 61007, 61027, 61031, 61043,
    61051, 61057, 61091, 61099, 61121, 61129, 61141, 61151, 61153, 61169,
    61211, 61223, 61231, 61253, 61261, 61283, 61291, 61297, 61331, 61333,
    61339, 61343, 61357, 61363, 61379, 61381, 61403, 61409, 61417, 61441,
    61463, 61469, 61471, 61483, 61487, 61493, 61507, 61511, 61519, 61543,
    61547, 61553, 61559, 61561, 61583, 61603, 61609, 61613, 61627, 61631,
    61637, 61643, 61651, 61657, 61667, 61673, 61681, 61687, 61703, 61717,
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    69931, 69941, 69959, 69991, 69997, 70001, 70003, 70009, 70019, 70039,
    70051, 70061, 70067, 70079, 70099, 70111, 70117, 70121, 70123, 70139,
    70141, 70157, 70163, 70177, 70181, 70183, 70199, 70201, 70207, 70223,
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    94007, 94009, 94033, 94049, 94057, 94063, 94079, 94099, 94109, 94111,
    94117, 94121, 94151, 94153, 94169, 94201, 94207, 94219, 94229, 94253,
    94261, 94273, 94291, 94307, 94309, 94321, 94327, 94331, 94343, 94349,
    94351, 94379, 94397, 94399, 94421, 94427, 94433, 94439, 94441, 94447,
    94463, 94477, 94483, 94513, 94529, 94531, 94541, 94543, 94547, 94559,
    94561, 94573, 94583, 94597, 94603, 94613, 94621, 94649, 94651, 94687,
    94693, 94709, 94723, 94727, 94747, 94771, 94777, 94781, 94789, 94793,
    94811, 94819, 94823, 94837, 94841, 94847, 94849, 94873, 94889, 94903,
    94907, 94933, 94949, 94951, 94961, 94993, 94999, 95003, 95009, 95021,
    95027, 95063, 95071, 95083, 95087, 95089, 95093, 95101, 95107, 95111,
    95131, 95143, 95153, 95177, 95189, 95191, 95203, 95213, 95219, 95231,
    95233, 95239, 95257, 95261, 95267, 95273, 95279, 95287, 95311, 95317,
    95327, 95339, 95369, 95383, 95393, 95401, 95413, 95419, 95429, 95441,
    95443, 95461, 95467, 95471, 95479, 95483, 95507, 95527, 95531, 95539,
    95549, 95561, 95569, 95581, 95597, 95603, 95617, 95621, 95629, 95633,
    95651, 95701, 95707, 95713, 95717, 95723, 95731, 95737, 95747, 95773,
    95783, 95789, 95791, 95801, 95803, 95813, 95819, 95857, 95869, 95873,
    95881, 95891, 95911, 95917, 95923, 95929, 95947, 95957, 95959, 95971,
    95987, 95989, 96001, 96013, 96017, 96043, 96053, 96059, 96079, 96097,
    96137, 96149, 96157, 96167, 96179, 96181, 96199, 96211, 96221, 96223,
    96233, 96259, 96263, 96269, 96281, 96289, 96293, 96323, 96329, 96331,
    96337, 96353, 96377, 96401, 96419, 96431, 96443, 96451, 96457, 96461,
    96469, 96479, 96487, 96493, 96497, 96517, 96527, 96553, 96557, 96581,
    96587, 96589, 96601, 96643, 96661, 96667, 96671, 96697, 96703, 96731,
    96737, 96739, 96749, 96757, 96763, 96769, 96779, 96787, 96797, 96799,
    96821, 96823, 96827, 96847, 96851, 96857, 96893, 96907, 96911, 96931,
    96953, 96959, 96973, 96979, 96989, 96997, 97001, 97003, 97007, 97021,
    97039, 97073, 97081, 97103, 97117, 97127, 97151, 97157, 97159, 97169,
    97171, 97177, 97187, 97213, 97231, 97241, 97259, 97283, 97301, 97303,
    97327, 97367, 97369, 97373, 97379, 97381, 97387, 97397, 97423, 97429,
    97441, 97453, 97459, 97463, 97499, 97501, 97511, 97523, 97547, 97549,
    97553, 97561, 97571, 97577, 97579, 97583, 97607, 97609, 97613, 97649,
    97651, 97673, 97687, 97711, 97729, 97771, 97777, 97787, 97789, 97813,
    97829, 97841, 97843, 97847, 97849, 97859, 97861, 97871, 97879, 97883,
    97919, 97927, 97931, 97943, 97961, 97967, 97973, 97987, 98009, 98011,
    98017, 98041, 98047, 98057, 98081, 98101, 98123, 98129, 98143, 98179,
    98207, 98213, 98221, 98227, 98251, 98257, 98269, 98297, 98299, 98317,
    98321, 98323, 98327, 98347, 98369, 98377, 98387, 98389, 98407, 98411,
    98419, 98429, 98443, 98453, 98459, 98467, 98473, 98479, 98491, 98507,
    98519, 98533, 98543, 98561, 98563, 98573, 98597, 98621, 98627, 98639,
    98641, 98663, 98669, 98689, 98711, 98713, 98717, 98729, 98731, 98737,
    98773, 98779, 98801, 98807, 98809, 98837, 98849, 98867, 98869, 98873,
    98887, 98893, 98897, 98899, 98909, 98911, 98927, 98929, 98939, 98947,
    98953, 98963, 98981, 98993, 98999, 99013, 99017, 99023, 99041, 99053,
    99079, 99083, 99089, 99103, 99109, 99119, 99131, 99133, 99137, 99139,
    99149, 99173, 99181, 99191, 99223, 99233, 99241, 99251, 99257, 99259,
    99277, 99289, 99317, 99347, 99349, 99367, 99371, 99377, 99391, 99397,
    99401, 99409, 99431, 99439, 99469, 99487, 99497, 99523, 99527, 99529,
    99551, 99559, 99563, 99571, 99577, 99581, 99607, 99611, 99623, 99643,
    99661, 99667, 99679, 99689, 99707, 99709, 99713, 99719, 99721, 99733,
    99761, 99767, 99787, 99793, 99809, 99817, 99823, 99829, 99833, 99839,
    99859, 99871, 99877, 99881, 99901, 99907, 99923, 99929, 99961, 99971,
    99989, 99991};
void Factorize(long long M) {
  int a = 0;
  while (M >= sosuu[a] * sosuu[a]) {
    if (M % sosuu[a] == 0) {
      if (factor[sosuu[a]] == 0) {
        prime_factor.push_back(sosuu[a]);
      }
      factor[sosuu[a]]++;
      M /= sosuu[a];
    } else {
      a++;
    }
  }
  int b = 100000;
  while (M >= b * b) {
    if (M % b == 0) {
      if (factor[b] == 0) {
        prime_factor.push_back(b);
      }
      factor[b]++;
      M /= b;
    } else {
      b++;
    }
  }
  if (factor[M] == 0) {
    prime_factor.push_back(M);
  }
  factor[M]++;
}
int main() {
  cin >> N >> P;
  Factorize(P);
  long long ans = 1;
  for (int i = 0; i < prime_factor.size(); i++) {
    while (factor[prime_factor[i]] >= N) {
      ans *= prime_factor[i];
      factor[prime_factor[i]] -= N;
    }
  }
  cout << ans << endl;
}
