/******************************************************************************/
/* */
/* PRIMES AND PRIMITIVE ROOTS */
/* 02/05/07 (dkc) */
/* */
/******************************************************************************/
unsigned int insize=9590;
unsigned int input[9590*2]={
5, 2,
7, 3,
11, 2,
13, 2,
17, 3,
19, 2,
23, 5,
29, 2,
31, 3,
37, 2,
41, 6,
43, 3,
47, 5,
53, 2,
59, 2,
61, 2,
67, 2,
71, 7,
73, 5,
79, 3,
83, 2,
89, 3,
97, 5,
101, 2,
103, 5,
107, 2,
109, 6,
113, 3,
127, 3,
131, 2,
137, 3,
139, 2,
149, 2,
151, 6,
157, 5,
163, 2,
167, 5,
173, 2,
179, 2,
181, 2,
191, 19,
193, 5,
197, 2,
199, 3,
211, 2,
223, 3,
227, 2,
229, 6,
233, 3,
239, 7,
241, 7,
251, 6,
257, 3,
263, 5,
269, 2,
271, 6,
277, 5,
281, 3,
283, 3,
293, 2,
307, 5,
311, 17,
313, 10,
317, 2,
331, 3,
337, 10,
347, 2,
349, 2,
353, 3,
359, 7,
367, 6,
373, 2,
379, 2,
383, 5,
389, 2,
397, 5,
401, 3,
409, 21,
419, 2,
421, 2,
431, 7,
433, 5,
439, 15,
443, 2,
449, 3,
457, 13,
461, 2,
463, 3,
467, 2,
479, 13,
487, 3,
491, 2,
499, 7,
503, 5,
509, 2,
521, 3,
523, 2,
541, 2,
547, 2,
557, 2,
563, 2,
569, 3,
571, 3,
577, 5,
587, 2,
593, 3,
599, 7,
601, 7,
607, 3,
613, 2,
617, 3,
619, 2,
631, 3,
641, 3,
643, 11,
647, 5,
653, 2,
659, 2,
661, 2,
673, 5,
677, 2,
683, 5,
691, 3,
701, 2,
709, 2,
719, 11,
727, 5,
733, 6,
739, 3,
743, 5,
751, 3,
757, 2,
761, 6,
769, 11,
773, 2,
787, 2,
797, 2,
809, 3,
811, 3,
821, 2,
823, 3,
827, 2,
829, 2,
839, 11,
853, 2,
857, 3,
859, 2,
863, 5,
877, 2,
881, 3,
883, 2,
887, 5,
907, 2,
911, 17,
919, 7,
929, 3,
937, 5,
941, 2,
947, 2,
953, 3,
967, 5,
971, 6,
977, 3,
983, 5,
991, 6,
997, 7,
1009, 11,
1013, 3,
1019, 2,
1021, 10,
1031, 14,
1033, 5,
1039, 3,
1049, 3,
1051, 7,
1061, 2,
1063, 3,
1069, 6,
1087, 3,
1091, 2,
1093, 5,
1097, 3,
1103, 5,
1109, 2,
1117, 2,
1123, 2,
1129, 11,
1151, 17,
1153, 5,
1163, 5,
1171, 2,
1181, 7,
1187, 2,
1193, 3,
1201, 11,
1213, 2,
1217, 3,
1223, 5,
1229, 2,
1231, 3,
1237, 2,
1249, 7,
1259, 2,
1277, 2,
1279, 3,
1283, 2,
1289, 6,
1291, 2,
1297, 10,
1301, 2,
1303, 6,
1307, 2,
1319, 13,
1321, 13,
1327, 3,
1361, 3,
1367, 5,
1373, 2,
1381, 2,
1399, 13,
1409, 3,
1423, 3,
1427, 2,
1429, 6,
1433, 3,
1439, 7,
1447, 3,
1451, 2,
1453, 2,
1459, 3,
1471, 6,
1481, 3,
1483, 2,
1487, 5,
1489, 14,
1493, 2,
1499, 2,
1511, 11,
1523, 2,
1531, 2,
1543, 5,
1549, 2,
1553, 3,
1559, 19,
1567, 3,
1571, 2,
1579, 3,
1583, 5,
1597, 11,
1601, 3,
1607, 5,
1609, 7,
1613, 3,
1619, 2,
1621, 2,
1627, 3,
1637, 2,
1657, 11,
1663, 3,
1667, 2,
1669, 2,
1693, 2,
1697, 3,
1699, 3,
1709, 3,
1721, 3,
1723, 3,
1733, 2,
1741, 2,
1747, 2,
1753, 7,
1759, 6,
1777, 5,
1783, 10,
1787, 2,
1789, 6,
1801, 11,
1811, 6,
1823, 5,
1831, 3,
1847, 5,
1861, 2,
1867, 2,
1871, 14,
1873, 10,
1877, 2,
1879, 6,
1889, 3,
1901, 2,
1907, 2,
1913, 3,
1931, 2,
1933, 5,
1949, 2,
1951, 3,
1973, 2,
1979, 2,
1987, 2,
1993, 5,
1997, 2,
1999, 3,
2003, 5,
2011, 3,
2017, 5,
2027, 2,
2029, 2,
2039, 7,
2053, 2,
2063, 5,
2069, 2,
2081, 3,
2083, 2,
2087, 5,
2089, 7,
2099, 2,
2111, 7,
2113, 5,
2129, 3,
2131, 2,
2137, 10,
2141, 2,
2143, 3,
2153, 3,
2161, 23,
2179, 7,
2203, 5,
2207, 5,
2213, 2,
2221, 2,
2237, 2,
2239, 3,
2243, 2,
2251, 7,
2267, 2,
2269, 2,
2273, 3,
2281, 7,
2287, 19,
2293, 2,
2297, 5,
2309, 2,
2311, 3,
2333, 2,
2339, 2,
2341, 7,
2347, 3,
2351, 13,
2357, 2,
2371, 2,
2377, 5,
2381, 3,
2383, 5,
2389, 2,
2393, 3,
2399, 11,
2411, 6,
2417, 3,
2423, 5,
2437, 2,
2441, 6,
2447, 5,
2459, 2,
2467, 2,
2473, 5,
2477, 2,
2503, 3,
2521, 17,
2531, 2,
2539, 2,
2543, 5,
2549, 2,
2551, 6,
2557, 2,
2579, 2,
2591, 7,
2593, 7,
2609, 3,
2617, 5,
2621, 2,
2633, 3,
2647, 3,
2657, 3,
2659, 2,
2663, 5,
2671, 7,
2677, 2,
2683, 2,
2687, 5,
2689, 19,
2693, 2,
2699, 2,
2707, 2,
2711, 7,
2713, 5,
2719, 3,
2729, 3,
2731, 3,
2741, 2,
2749, 6,
2753, 3,
2767, 3,
2777, 3,
2789, 2,
2791, 6,
2797, 2,
2801, 3,
2803, 2,
2819, 2,
2833, 5,
2837, 2,
2843, 2,
2851, 2,
2857, 11,
2861, 2,
2879, 7,
2887, 5,
2897, 3,
2903, 5,
2909, 2,
2917, 5,
2927, 5,
2939, 2,
2953, 13,
2957, 2,
2963, 2,
2969, 3,
2971, 10,
2999, 17,
3001, 14,
3011, 2,
3019, 2,
3023, 5,
3037, 2,
3041, 3,
3049, 11,
3061, 6,
3067, 2,
3079, 6,
3083, 2,
3089, 3,
3109, 6,
3119, 7,
3121, 7,
3137, 3,
3163, 3,
3167, 5,
3169, 7,
3181, 7,
3187, 2,
3191, 11,
3203, 2,
3209, 3,
3217, 5,
3221, 10,
3229, 6,
3251, 6,
3253, 2,
3257, 3,
3259, 3,
3271, 3,
3299, 2,
3301, 6,
3307, 2,
3313, 10,
3319, 6,
3323, 2,
3329, 3,
3331, 3,
3343, 5,
3347, 2,
3359, 11,
3361, 22,
3371, 2,
3373, 5,
3389, 3,
3391, 3,
3407, 5,
3413, 2,
3433, 5,
3449, 3,
3457, 7,
3461, 2,
3463, 3,
3467, 2,
3469, 2,
3491, 2,
3499, 2,
3511, 7,
3517, 2,
3527, 5,
3529, 17,
3533, 2,
3539, 2,
3541, 7,
3547, 2,
3557, 2,
3559, 3,
3571, 2,
3581, 2,
3583, 3,
3593, 3,
3607, 5,
3613, 2,
3617, 3,
3623, 5,
3631, 15,
3637, 2,
3643, 2,
3659, 2,
3671, 13,
3673, 5,
3677, 2,
3691, 2,
3697, 5,
3701, 2,
3709, 2,
3719, 7,
3727, 3,
3733, 2,
3739, 7,
3761, 3,
3767, 5,
3769, 7,
3779, 2,
3793, 5,
3797, 2,
3803, 2,
3821, 3,
3823, 3,
3833, 3,
3847, 5,
3851, 2,
3853, 2,
3863, 5,
3877, 2,
3881, 13,
3889, 11,
3907, 2,
3911, 13,
3917, 2,
3919, 3,
3923, 2,
3929, 3,
3931, 2,
3943, 3,
3947, 2,
3967, 6,
3989, 2,
4001, 3,
4003, 2,
4007, 5,
4013, 2,
4019, 2,
4021, 2,
4027, 3,
4049, 3,
4051, 10,
4057, 5,
4073, 3,
4079, 11,
4091, 2,
4093, 2,
4099, 2,
4111, 12,
4127, 5,
4129, 13,
4133, 2,
4139, 2,
4153, 5,
4157, 2,
4159, 3,
4177, 5,
4201, 11,
4211, 6,
4217, 3,
4219, 2,
4229, 2,
4231, 3,
4241, 3,
4243, 2,
4253, 2,
4259, 2,
4261, 2,
4271, 7,
4273, 5,
4283, 2,
4289, 3,
4297, 5,
4327, 3,
4337, 3,
4339, 10,
4349, 2,
4357, 2,
4363, 2,
4373, 2,
4391, 14,
4397, 2,
4409, 3,
4421, 3,
4423, 3,
4441, 21,
4447, 3,
4451, 2,
4457, 3,
4463, 5,
4481, 3,
4483, 2,
4493, 2,
4507, 2,
4513, 7,
4517, 2,
4519, 3,
4523, 5,
4547, 2,
4549, 6,
4561, 11,
4567, 3,
4583, 5,
4591, 11,
4597, 5,
4603, 2,
4621, 2,
4637, 2,
4639, 3,
4643, 5,
4649, 3,
4651, 3,
4657, 15,
4663, 3,
4673, 3,
4679, 11,
4691, 2,
4703, 5,
4721, 6,
4723, 2,
4729, 17,
4733, 5,
4751, 19,
4759, 3,
4783, 6,
4787, 2,
4789, 2,
4793, 3,
4799, 7,
4801, 7,
4813, 2,
4817, 3,
4831, 3,
4861, 11,
4871, 11,
4877, 2,
4889, 3,
4903, 3,
4909, 6,
4919, 13,
4931, 6,
4933, 2,
4937, 3,
4943, 7,
4951, 6,
4957, 2,
4967, 5,
4969, 11,
4973, 2,
4987, 2,
4993, 5,
4999, 3,
5003, 2,
5009, 3,
5011, 2,
5021, 3,
5023, 3,
5039, 11,
5051, 2,
5059, 2,
5077, 2,
5081, 3,
5087, 5,
5099, 2,
5101, 6,
5107, 2,
5113, 19,
5119, 3,
5147, 2,
5153, 5,
5167, 6,
5171, 2,
5179, 2,
5189, 2,
5197, 7,
5209, 17,
5227, 2,
5231, 7,
5233, 10,
5237, 3,
5261, 2,
5273, 3,
5279, 7,
5281, 7,
5297, 3,
5303, 5,
5309, 2,
5323, 5,
5333, 2,
5347, 3,
5351, 11,
5381, 3,
5387, 2,
5393, 3,
5399, 7,
5407, 3,
5413, 5,
5417, 3,
5419, 3,
5431, 3,
5437, 5,
5441, 3,
5443, 2,
5449, 7,
5471, 7,
5477, 2,
5479, 3,
5483, 2,
5501, 2,
5503, 3,
5507, 2,
5519, 13,
5521, 11,
5527, 5,
5531, 10,
5557, 2,
5563, 2,
5569, 13,
5573, 2,
5581, 6,
5591, 11,
5623, 5,
5639, 7,
5641, 14,
5647, 3,
5651, 2,
5653, 5,
5657, 3,
5659, 2,
5669, 3,
5683, 2,
5689, 11,
5693, 2,
5701, 2,
5711, 19,
5717, 2,
5737, 5,
5741, 2,
5743, 10,
5749, 2,
5779, 2,
5783, 7,
5791, 6,
5801, 3,
5807, 5,
5813, 2,
5821, 6,
5827, 2,
5839, 6,
5843, 2,
5849, 3,
5851, 2,
5857, 7,
5861, 3,
5867, 5,
5869, 2,
5879, 11,
5881, 31,
5897, 3,
5903, 5,
5923, 2,
5927, 5,
5939, 2,
5953, 7,
5981, 3,
5987, 2,
6007, 3,
6011, 2,
6029, 2,
6037, 5,
6043, 5,
6047, 5,
6053, 2,
6067, 2,
6073, 10,
6079, 17,
6089, 3,
6091, 7,
6101, 2,
6113, 3,
6121, 7,
6131, 2,
6133, 5,
6143, 5,
6151, 3,
6163, 3,
6173, 2,
6197, 2,
6199, 3,
6203, 2,
6211, 2,
6217, 5,
6221, 3,
6229, 2,
6247, 5,
6257, 3,
6263, 5,
6269, 2,
6271, 11,
6277, 2,
6287, 7,
6299, 2,
6301, 10,
6311, 7,
6317, 2,
6323, 2,
6329, 3,
6337, 10,
6343, 3,
6353, 3,
6359, 13,
6361, 19,
6367, 3,
6373, 2,
6379, 2,
6389, 2,
6397, 2,
6421, 6,
6427, 3,
6449, 3,
6451, 3,
6469, 2,
6473, 3,
6481, 7,
6491, 2,
6521, 6,
6529, 7,
6547, 2,
6551, 17,
6553, 10,
6563, 5,
6569, 3,
6571, 3,
6577, 5,
6581, 14,
6599, 13,
6607, 3,
6619, 2,
6637, 2,
6653, 2,
6659, 2,
6661, 6,
6673, 5,
6679, 7,
6689, 3,
6691, 2,
6701, 2,
6703, 5,
6709, 2,
6719, 11,
6733, 2,
6737, 3,
6761, 3,
6763, 2,
6779, 2,
6781, 2,
6791, 7,
6793, 10,
6803, 2,
6823, 3,
6827, 2,
6829, 2,
6833, 3,
6841, 22,
6857, 3,
6863, 5,
6869, 2,
6871, 3,
6883, 2,
6899, 2,
6907, 2,
6911, 7,
6917, 2,
6947, 2,
6949, 2,
6959, 7,
6961, 13,
6967, 5,
6971, 2,
6977, 3,
6983, 5,
6991, 6,
6997, 5,
7001, 3,
7013, 2,
7019, 2,
7027, 2,
7039, 3,
7043, 2,
7057, 5,
7069, 2,
7079, 7,
7103, 5,
7109, 2,
7121, 3,
7127, 5,
7129, 7,
7151, 7,
7159, 3,
7177, 10,
7187, 2,
7193, 3,
7207, 3,
7211, 2,
7213, 5,
7219, 2,
7229, 2,
7237, 2,
7243, 2,
7247, 5,
7253, 2,
7283, 2,
7297, 5,
7307, 2,
7309, 6,
7321, 7,
7331, 2,
7333, 6,
7349, 2,
7351, 6,
7369, 7,
7393, 5,
7411, 2,
7417, 5,
7433, 3,
7451, 2,
7457, 3,
7459, 2,
7477, 2,
7481, 6,
7487, 5,
7489, 7,
7499, 2,
7507, 2,
7517, 2,
7523, 2,
7529, 3,
7537, 7,
7541, 2,
7547, 2,
7549, 2,
7559, 13,
7561, 13,
7573, 2,
7577, 3,
7583, 5,
7589, 2,
7591, 6,
7603, 2,
7607, 5,
7621, 2,
7639, 7,
7643, 2,
7649, 3,
7669, 2,
7673, 3,
7681, 17,
7687, 6,
7691, 2,
7699, 3,
7703, 5,
7717, 2,
7723, 3,
7727, 5,
7741, 7,
7753, 10,
7757, 2,
7759, 3,
7789, 2,
7793, 3,
7817, 3,
7823, 5,
7829, 2,
7841, 12,
7853, 2,
7867, 3,
7873, 5,
7877, 2,
7879, 3,
7883, 2,
7901, 2,
7907, 2,
7919, 7,
7927, 3,
7933, 2,
7937, 3,
7949, 2,
7951, 6,
7963, 5,
7993, 5,
8009, 3,
8011, 14,
8017, 5,
8039, 11,
8053, 2,
8059, 3,
8069, 2,
8081, 3,
8087, 5,
8089, 17,
8093, 2,
8101, 6,
8111, 11,
8117, 2,
8123, 2,
8147, 2,
8161, 7,
8167, 3,
8171, 2,
8179, 2,
8191, 17,
8209, 7,
8219, 2,
8221, 2,
8231, 11,
8233, 10,
8237, 2,
8243, 2,
8263, 3,
8269, 2,
8273, 3,
8287, 3,
8291, 2,
8293, 2,
8297, 3,
8311, 3,
8317, 6,
8329, 7,
8353, 5,
8363, 2,
8369, 3,
8377, 5,
8387, 2,
8389, 6,
8419, 3,
8423, 5,
8429, 2,
8431, 3,
8443, 2,
8447, 5,
8461, 6,
8467, 2,
8501, 7,
8513, 5,
8521, 13,
8527, 5,
8537, 3,
8539, 2,
8543, 5,
8563, 2,
8573, 2,
8581, 6,
8597, 2,
8599, 3,
8609, 3,
8623, 3,
8627, 2,
8629, 6,
8641, 17,
8647, 3,
8663, 5,
8669, 2,
8677, 2,
8681, 15,
8689, 13,
8693, 2,
8699, 2,
8707, 5,
8713, 5,
8719, 3,
8731, 2,
8737, 5,
8741, 2,
8747, 2,
8753, 3,
8761, 23,
8779, 11,
8783, 5,
8803, 2,
8807, 5,
8819, 2,
8821, 2,
8831, 7,
8837, 2,
8839, 3,
8849, 3,
8861, 2,
8863, 3,
8867, 2,
8887, 3,
8893, 5,
8923, 2,
8929, 11,
8933, 2,
8941, 6,
8951, 13,
8963, 2,
8969, 3,
8971, 2,
8999, 7,
9001, 7,
9007, 3,
9011, 2,
9013, 5,
9029, 2,
9041, 3,
9043, 3,
9049, 7,
9059, 2,
9067, 3,
9091, 3,
9103, 6,
9109, 10,
9127, 3,
9133, 6,
9137, 3,
9151, 3,
9157, 6,
9161, 3,
9173, 2,
9181, 2,
9187, 3,
9199, 3,
9203, 2,
9209, 3,
9221, 2,
9227, 2,
9239, 19,
9241, 13,
9257, 3,
9277, 5,
9281, 3,
9283, 2,
9293, 2,
9311, 7,
9319, 3,
9323, 2,
9337, 5,
9341, 2,
9343, 5,
9349, 2,
9371, 2,
9377, 3,
9391, 3,
9397, 2,
9403, 3,
9413, 3,
9419, 2,
9421, 2,
9431, 7,
9433, 5,
9437, 2,
9439, 22,
9461, 3,
9463, 3,
9467, 2,
9473, 3,
9479, 7,
9491, 2,
9497, 3,
9511, 3,
9521, 3,
9533, 2,
9539, 2,
9547, 2,
9551, 11,
9587, 2,
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