1, 2, 2 2, 3, 1 3, 5, 2 4, 7, 2 5, 11, 4 6, 13, 2 7, 17, 4 8, 19, 2 9, 23, 4 10, 29, 6 11, 31, 2 12, 37, 6 13, 41, 4 14, 43, 2 15, 47, 4 16, 53, 6 17, 59, 6 18, 61, 2 19, 67, 6 20, 71, 4 21, 73, 2 22, 79, 6 23, 83, 4 24, 89, 6 25, 97, 8 26, 101, 4 27, 103, 2 28, 107, 4 29, 109, 2 30, 113, 4 31, 127, 14 32, 131, 4 33, 137, 6 34, 139, 2 35, 149, 10 36, 151, 2 37, 157, 6 38, 163, 6 39, 167, 4 40, 173, 6 41, 179, 6 42, 181, 2 43, 191, 10 44, 193, 2 45, 197, 4 46, 199, 2 47, 211, 12 48, 223, 12 49, 227, 4 50, 229, 2 51, 233, 4 52, 239, 6 53, 241, 2 54, 251, 10 55, 257, 6 56, 263, 6 57, 269, 6 58, 271, 2 59, 277, 6 60, 281, 4 61, 283, 2 62, 293, 10 63, 307, 14 64, 311, 4 65, 313, 2 66, 317, 4 67, 331, 14 68, 337, 6 69, 347, 10 70, 349, 2 71, 353, 4 72, 359, 6 73, 367, 8 74, 373, 6 75, 379, 6 76, 383, 4 77, 389, 6 78, 397, 8 79, 401, 4 80, 409, 8 81, 419, 10 82, 421, 2 83, 431, 10 84, 433, 2 85, 439, 6 86, 443, 4 87, 449, 6 88, 457, 8 89, 461, 4 90, 463, 2 91, 467, 4 92, 479, 12 93, 487, 8 94, 491, 4 95, 499, 8 96, 503, 4 97, 509, 6 98, 521, 12 99, 523, 2 100, 541, 18 101, 547, 6 102, 557, 10 103, 563, 6 104, 569, 6 105, 571, 2 106, 577, 6 107, 587, 10 108, 593, 6 109, 599, 6 110, 601, 2 111, 607, 6 112, 613, 6 113, 617, 4 114, 619, 2 115, 631, 12 116, 641, 10 117, 643, 2 118, 647, 4 119, 653, 6 120, 659, 6 121, 661, 2 122, 673, 12 123, 677, 4 124, 683, 6 125, 691, 8 126, 701, 10 127, 709, 8 128, 719, 10 129, 727, 8 130, 733, 6 131, 739, 6 132, 743, 4 133, 751, 8 134, 757, 6 135, 761, 4 136, 769, 8 137, 773, 4 138, 787, 14 139, 797, 10 140, 809, 12 141, 811, 2 142, 821, 10 143, 823, 2 144, 827, 4 145, 829, 2 146, 839, 10 147, 853, 14 148, 857, 4 149, 859, 2 150, 863, 4 151, 877, 14 152, 881, 4 153, 883, 2 154, 887, 4 155, 907, 20 156, 911, 4 157, 919, 8 158, 929, 10 159, 937, 8 160, 941, 4 161, 947, 6 162, 953, 6 163, 967, 14 164, 971, 4 165, 977, 6 166, 983, 6 167, 991, 8 168, 997, 6 169, 1009, 12 170, 1013, 4 171, 1019, 6 172, 1021, 2 173, 1031, 10 174, 1033, 2 175, 1039, 6 176, 1049, 10 177, 1051, 2 178, 1061, 10 179, 1063, 2 180, 1069, 6 181, 1087, 18 182, 1091, 4 183, 1093, 2 184, 1097, 4 185, 1103, 6 186, 1109, 6 187, 1117, 8 188, 1123, 6 189, 1129, 6 190, 1151, 22 191, 1153, 2 192, 1163, 10 193, 1171, 8 194, 1181, 10 195, 1187, 6 196, 1193, 6 197, 1201, 8 198, 1213, 12 199, 1217, 4 200, 1223, 6 201, 1229, 6 202, 1231, 2 203, 1237, 6 204, 1249, 12 205, 1259, 10 206, 1277, 18 207, 1279, 2 208, 1283, 4 209, 1289, 6 210, 1291, 2 211, 1297, 6 212, 1301, 4 213, 1303, 2 214, 1307, 4 215, 1319, 12 216, 1321, 2 217, 1327, 6 218, 1361, 34 219, 1367, 6 220, 1373, 6 221, 1381, 8 222, 1399, 18 223, 1409, 10 224, 1423, 14 225, 1427, 4 226, 1429, 2 227, 1433, 4 228, 1439, 6 229, 1447, 8 230, 1451, 4 231, 1453, 2 232, 1459, 6 233, 1471, 12 234, 1481, 10 235, 1483, 2 236, 1487, 4 237, 1489, 2 238, 1493, 4 239, 1499, 6 240, 1511, 12 241, 1523, 12 242, 1531, 8 243, 1543, 12 244, 1549, 6 245, 1553, 4 246, 1559, 6 247, 1567, 8 248, 1571, 4 249, 1579, 8 250, 1583, 4 251, 1597, 14 252, 1601, 4 253, 1607, 6 254, 1609, 2 255, 1613, 4 256, 1619, 6 257, 1621, 2 258, 1627, 6 259, 1637, 10 260, 1657, 20 261, 1663, 6 262, 1667, 4 263, 1669, 2 264, 1693, 24 265, 1697, 4 266, 1699, 2 267, 1709, 10 268, 1721, 12 269, 1723, 2 270, 1733, 10 271, 1741, 8 272, 1747, 6 273, 1753, 6 274, 1759, 6 275, 1777, 18 276, 1783, 6 277, 1787, 4 278, 1789, 2 279, 1801, 12 280, 1811, 10 281, 1823, 12 282, 1831, 8 283, 1847, 16 284, 1861, 14 285, 1867, 6 286, 1871, 4 287, 1873, 2 288, 1877, 4 289, 1879, 2 290, 1889, 10 291, 1901, 12 292, 1907, 6 293, 1913, 6 294, 1931, 18 295, 1933, 2 296, 1949, 16 297, 1951, 2 298, 1973, 22 299, 1979, 6 300, 1987, 8 301, 1993, 6 302, 1997, 4 303, 1999, 2 304, 2003, 4 305, 2011, 8 306, 2017, 6 307, 2027, 10 308, 2029, 2 309, 2039, 10 310, 2053, 14 311, 2063, 10 312, 2069, 6 313, 2081, 12 314, 2083, 2 315, 2087, 4 316, 2089, 2 317, 2099, 10 318, 2111, 12 319, 2113, 2 320, 2129, 16 321, 2131, 2 322, 2137, 6 323, 2141, 4 324, 2143, 2 325, 2153, 10 326, 2161, 8 327, 2179, 18 328, 2203, 24 329, 2207, 4 330, 2213, 6 331, 2221, 8 332, 2237, 16 333, 2239, 2 334, 2243, 4 335, 2251, 8 336, 2267, 16 337, 2269, 2 338, 2273, 4 339, 2281, 8 340, 2287, 6 341, 2293, 6 342, 2297, 4 343, 2309, 12 344, 2311, 2 345, 2333, 22 346, 2339, 6 347, 2341, 2 348, 2347, 6 349, 2351, 4 350, 2357, 6 351, 2371, 14 352, 2377, 6 353, 2381, 4 354, 2383, 2 355, 2389, 6 356, 2393, 4 357, 2399, 6 358, 2411, 12 359, 2417, 6 360, 2423, 6 361, 2437, 14 362, 2441, 4 363, 2447, 6 364, 2459, 12 365, 2467, 8 366, 2473, 6 367, 2477, 4 368, 2503, 26 369, 2521, 18 370, 2531, 10 371, 2539, 8 372, 2543, 4 373, 2549, 6 374, 2551, 2 375, 2557, 6 376, 2579, 22 377, 2591, 12 378, 2593, 2 379, 2609, 16 380, 2617, 8 381, 2621, 4 382, 2633, 12 383, 2647, 14 384, 2657, 10 385, 2659, 2 386, 2663, 4 387, 2671, 8 388, 2677, 6 389, 2683, 6 390, 2687, 4 391, 2689, 2 392, 2693, 4 393, 2699, 6 394, 2707, 8 395, 2711, 4 396, 2713, 2 397, 2719, 6 398, 2729, 10 399, 2731, 2 400, 2741, 10 401, 2749, 8 402, 2753, 4 403, 2767, 14 404, 2777, 10 405, 2789, 12 406, 2791, 2 407, 2797, 6 408, 2801, 4 409, 2803, 2 410, 2819, 16 411, 2833, 14 412, 2837, 4 413, 2843, 6 414, 2851, 8 415, 2857, 6 416, 2861, 4 417, 2879, 18 418, 2887, 8 419, 2897, 10 420, 2903, 6 421, 2909, 6 422, 2917, 8 423, 2927, 10 424, 2939, 12 425, 2953, 14 426, 2957, 4 427, 2963, 6 428, 2969, 6 429, 2971, 2 430, 2999, 28 431, 3001, 2 432, 3011, 10 433, 3019, 8 434, 3023, 4 435, 3037, 14 436, 3041, 4 437, 3049, 8 438, 3061, 12 439, 3067, 6 440, 3079, 12 441, 3083, 4 442, 3089, 6 443, 3109, 20 444, 3119, 10 445, 3121, 2 446, 3137, 16 447, 3163, 26 448, 3167, 4 449, 3169, 2 450, 3181, 12 451, 3187, 6 452, 3191, 4 453, 3203, 12 454, 3209, 6 455, 3217, 8 456, 3221, 4 457, 3229, 8 458, 3251, 22 459, 3253, 2 460, 3257, 4 461, 3259, 2 462, 3271, 12 463, 3299, 28 464, 3301, 2 465, 3307, 6 466, 3313, 6 467, 3319, 6 468, 3323, 4 469, 3329, 6 470, 3331, 2 471, 3343, 12 472, 3347, 4 473, 3359, 12 474, 3361, 2 475, 3371, 10 476, 3373, 2 477, 3389, 16 478, 3391, 2 479, 3407, 16 480, 3413, 6 481, 3433, 20 482, 3449, 16 483, 3457, 8 484, 3461, 4 485, 3463, 2 486, 3467, 4 487, 3469, 2 488, 3491, 22 489, 3499, 8 490, 3511, 12 491, 3517, 6 492, 3527, 10 493, 3529, 2 494, 3533, 4 495, 3539, 6 496, 3541, 2 497, 3547, 6 498, 3557, 10 499, 3559, 2 500, 3571, 12 501, 3581, 10 502, 3583, 2 503, 3593, 10 504, 3607, 14 505, 3613, 6 506, 3617, 4 507, 3623, 6 508, 3631, 8 509, 3637, 6 510, 3643, 6 511, 3659, 16 512, 3671, 12 513, 3673, 2 514, 3677, 4 515, 3691, 14 516, 3697, 6 517, 3701, 4 518, 3709, 8 519, 3719, 10 520, 3727, 8 521, 3733, 6 522, 3739, 6 523, 3761, 22 524, 3767, 6 525, 3769, 2 526, 3779, 10 527, 3793, 14 528, 3797, 4 529, 3803, 6 530, 3821, 18 531, 3823, 2 532, 3833, 10 533, 3847, 14 534, 3851, 4 535, 3853, 2 536, 3863, 10 537, 3877, 14 538, 3881, 4 539, 3889, 8 540, 3907, 18 541, 3911, 4 542, 3917, 6 543, 3919, 2 544, 3923, 4 545, 3929, 6 546, 3931, 2 547, 3943, 12 548, 3947, 4 549, 3967, 20 550, 3989, 22 551, 4001, 12 552, 4003, 2 553, 4007, 4 554, 4013, 6 555, 4019, 6 556, 4021, 2 557, 4027, 6 558, 4049, 22 559, 4051, 2 560, 4057, 6 561, 4073, 16 562, 4079, 6 563, 4091, 12 564, 4093, 2 565, 4099, 6 566, 4111, 12 567, 4127, 16 568, 4129, 2 569, 4133, 4 570, 4139, 6 571, 4153, 14 572, 4157, 4 573, 4159, 2 574, 4177, 18 575, 4201, 24 576, 4211, 10 577, 4217, 6 578, 4219, 2 579, 4229, 10 580, 4231, 2 581, 4241, 10 582, 4243, 2 583, 4253, 10 584, 4259, 6 585, 4261, 2 586, 4271, 10 587, 4273, 2 588, 4283, 10 589, 4289, 6 590, 4297, 8 591, 4327, 30 592, 4337, 10 593, 4339, 2 594, 4349, 10 595, 4357, 8 596, 4363, 6 597, 4373, 10 598, 4391, 18 599, 4397, 6 600, 4409, 12 601, 4421, 12 602, 4423, 2 603, 4441, 18 604, 4447, 6 605, 4451, 4 606, 4457, 6 607, 4463, 6 608, 4481, 18 609, 4483, 2 610, 4493, 10 611, 4507, 14 612, 4513, 6 613, 4517, 4 614, 4519, 2 615, 4523, 4 616, 4547, 24 617, 4549, 2 618, 4561, 12 619, 4567, 6 620, 4583, 16 621, 4591, 8 622, 4597, 6 623, 4603, 6 624, 4621, 18 625, 4637, 16 626, 4639, 2 627, 4643, 4 628, 4649, 6 629, 4651, 2 630, 4657, 6 631, 4663, 6 632, 4673, 10 633, 4679, 6 634, 4691, 12 635, 4703, 12 636, 4721, 18 637, 4723, 2 638, 4729, 6 639, 4733, 4 640, 4751, 18 641, 4759, 8 642, 4783, 24 643, 4787, 4 644, 4789, 2 645, 4793, 4 646, 4799, 6 647, 4801, 2 648, 4813, 12 649, 4817, 4 650, 4831, 14 651, 4861, 30 652, 4871, 10 653, 4877, 6 654, 4889, 12 655, 4903, 14 656, 4909, 6 657, 4919, 10 658, 4931, 12 659, 4933, 2 660, 4937, 4 661, 4943, 6 662, 4951, 8 663, 4957, 6 664, 4967, 10 665, 4969, 2 666, 4973, 4 667, 4987, 14 668, 4993, 6 669, 4999, 6 670, 5003, 4 671, 5009, 6 672, 5011, 2 673, 5021, 10 674, 5023, 2 675, 5039, 16 676, 5051, 12 677, 5059, 8 678, 5077, 18 679, 5081, 4 680, 5087, 6 681, 5099, 12 682, 5101, 2 683, 5107, 6 684, 5113, 6 685, 5119, 6 686, 5147, 28 687, 5153, 6 688, 5167, 14 689, 5171, 4 690, 5179, 8 691, 5189, 10 692, 5197, 8 693, 5209, 12 694, 5227, 18 695, 5231, 4 696, 5233, 2 697, 5237, 4 698, 5261, 24 699, 5273, 12 700, 5279, 6 701, 5281, 2 702, 5297, 16 703, 5303, 6 704, 5309, 6 705, 5323, 14 706, 5333, 10 707, 5347, 14 708, 5351, 4 709, 5381, 30 710, 5387, 6 711, 5393, 6 712, 5399, 6 713, 5407, 8 714, 5413, 6 715, 5417, 4 716, 5419, 2 717, 5431, 12 718, 5437, 6 719, 5441, 4 720, 5443, 2 721, 5449, 6 722, 5471, 22 723, 5477, 6 724, 5479, 2 725, 5483, 4 726, 5501, 18 727, 5503, 2 728, 5507, 4 729, 5519, 12 730, 5521, 2 731, 5527, 6 732, 5531, 4 733, 5557, 26 734, 5563, 6 735, 5569, 6 736, 5573, 4 737, 5581, 8 738, 5591, 10 739, 5623, 32 740, 5639, 16 741, 5641, 2 742, 5647, 6 743, 5651, 4 744, 5653, 2 745, 5657, 4 746, 5659, 2 747, 5669, 10 748, 5683, 14 749, 5689, 6 750, 5693, 4 751, 5701, 8 752, 5711, 10 753, 5717, 6 754, 5737, 20 755, 5741, 4 756, 5743, 2 757, 5749, 6 758, 5779, 30 759, 5783, 4 760, 5791, 8 761, 5801, 10 762, 5807, 6 763, 5813, 6 764, 5821, 8 765, 5827, 6 766, 5839, 12 767, 5843, 4 768, 5849, 6 769, 5851, 2 770, 5857, 6 771, 5861, 4 772, 5867, 6 773, 5869, 2 774, 5879, 10 775, 5881, 2 776, 5897, 16 777, 5903, 6 778, 5923, 20 779, 5927, 4 780, 5939, 12 781, 5953, 14 782, 5981, 28 783, 5987, 6 784, 6007, 20 785, 6011, 4 786, 6029, 18 787, 6037, 8 788, 6043, 6 789, 6047, 4 790, 6053, 6 791, 6067, 14 792, 6073, 6 793, 6079, 6 794, 6089, 10 795, 6091, 2 796, 6101, 10 797, 6113, 12 798, 6121, 8 799, 6131, 10 800, 6133, 2 801, 6143, 10 802, 6151, 8 803, 6163, 12 804, 6173, 10 805, 6197, 24 806, 6199, 2 807, 6203, 4 808, 6211, 8 809, 6217, 6 810, 6221, 4 811, 6229, 8 812, 6247, 18 813, 6257, 10 814, 6263, 6 815, 6269, 6 816, 6271, 2 817, 6277, 6 818, 6287, 10 819, 6299, 12 820, 6301, 2 821, 6311, 10 822, 6317, 6 823, 6323, 6 824, 6329, 6 825, 6337, 8 826, 6343, 6 827, 6353, 10 828, 6359, 6 829, 6361, 2 830, 6367, 6 831, 6373, 6 832, 6379, 6 833, 6389, 10 834, 6397, 8 835, 6421, 24 836, 6427, 6 837, 6449, 22 838, 6451, 2 839, 6469, 18 840, 6473, 4 841, 6481, 8 842, 6491, 10 843, 6521, 30 844, 6529, 8 845, 6547, 18 846, 6551, 4 847, 6553, 2 848, 6563, 10 849, 6569, 6 850, 6571, 2 851, 6577, 6 852, 6581, 4 853, 6599, 18 854, 6607, 8 855, 6619, 12 856, 6637, 18 857, 6653, 16 858, 6659, 6 859, 6661, 2 860, 6673, 12 861, 6679, 6 862, 6689, 10 863, 6691, 2 864, 6701, 10 865, 6703, 2 866, 6709, 6 867, 6719, 10 868, 6733, 14 869, 6737, 4 870, 6761, 24 871, 6763, 2 872, 6779, 16 873, 6781, 2 874, 6791, 10 875, 6793, 2 876, 6803, 10 877, 6823, 20 878, 6827, 4 879, 6829, 2 880, 6833, 4 881, 6841, 8 882, 6857, 16 883, 6863, 6 884, 6869, 6 885, 6871, 2 886, 6883, 12 887, 6899, 16 888, 6907, 8 889, 6911, 4 890, 6917, 6 891, 6947, 30 892, 6949, 2 893, 6959, 10 894, 6961, 2 895, 6967, 6 896, 6971, 4 897, 6977, 6 898, 6983, 6 899, 6991, 8 900, 6997, 6 901, 7001, 4 902, 7013, 12 903, 7019, 6 904, 7027, 8 905, 7039, 12 906, 7043, 4 907, 7057, 14 908, 7069, 12 909, 7079, 10 910, 7103, 24 911, 7109, 6 912, 7121, 12 913, 7127, 6 914, 7129, 2 915, 7151, 22 916, 7159, 8 917, 7177, 18 918, 7187, 10 919, 7193, 6 920, 7207, 14 921, 7211, 4 922, 7213, 2 923, 7219, 6 924, 7229, 10 925, 7237, 8 926, 7243, 6 927, 7247, 4 928, 7253, 6 929, 7283, 30 930, 7297, 14 931, 7307, 10 932, 7309, 2 933, 7321, 12 934, 7331, 10 935, 7333, 2 936, 7349, 16 937, 7351, 2 938, 7369, 18 939, 7393, 24 940, 7411, 18 941, 7417, 6 942, 7433, 16 943, 7451, 18 944, 7457, 6 945, 7459, 2 946, 7477, 18 947, 7481, 4 948, 7487, 6 949, 7489, 2 950, 7499, 10 951, 7507, 8 952, 7517, 10 953, 7523, 6 954, 7529, 6 955, 7537, 8 956, 7541, 4 957, 7547, 6 958, 7549, 2 959, 7559, 10 960, 7561, 2 961, 7573, 12 962, 7577, 4 963, 7583, 6 964, 7589, 6 965, 7591, 2 966, 7603, 12 967, 7607, 4 968, 7621, 14 969, 7639, 18 970, 7643, 4 971, 7649, 6 972, 7669, 20 973, 7673, 4 974, 7681, 8 975, 7687, 6 976, 7691, 4 977, 7699, 8 978, 7703, 4 979, 7717, 14 980, 7723, 6 981, 7727, 4 982, 7741, 14 983, 7753, 12 984, 7757, 4 985, 7759, 2 986, 7789, 30 987, 7793, 4 988, 7817, 24 989, 7823, 6 990, 7829, 6 991, 7841, 12 992, 7853, 12 993, 7867, 14 994, 7873, 6 995, 7877, 4 996, 7879, 2 997, 7883, 4 998, 7901, 18 999, 7907, 6 1000, 7919, 12 1001, 7927, 8 1002, 7933, 6 1003, 7937, 4 1004, 7949, 12 1005, 7951, 2 1006, 7963, 12 1007, 7993, 30 1008, 8009, 16 1009, 8011, 2 1010, 8017, 6 1011, 8039, 22 1012, 8053, 14 1013, 8059, 6 1014, 8069, 10 1015, 8081, 12 1016, 8087, 6 1017, 8089, 2 1018, 8093, 4 1019, 8101, 8 1020, 8111, 10 1021, 8117, 6 1022, 8123, 6 1023, 8147, 24 1024, 8161, 14 1025, 8167, 6 1026, 8171, 4 1027, 8179, 8 1028, 8191, 12 1029, 8209, 18 1030, 8219, 10 1031, 8221, 2 1032, 8231, 10 1033, 8233, 2 1034, 8237, 4 1035, 8243, 6 1036, 8263, 20 1037, 8269, 6 1038, 8273, 4 1039, 8287, 14 1040, 8291, 4 1041, 8293, 2 1042, 8297, 4 1043, 8311, 14 1044, 8317, 6 1045, 8329, 12 1046, 8353, 24 1047, 8363, 10 1048, 8369, 6 1049, 8377, 8 1050, 8387, 10 1051, 8389, 2 1052, 8419, 30 1053, 8423, 4 1054, 8429, 6 1055, 8431, 2 1056, 8443, 12 1057, 8447, 4 1058, 8461, 14 1059, 8467, 6 1060, 8501, 34 1061, 8513, 12 1062, 8521, 8 1063, 8527, 6 1064, 8537, 10 1065, 8539, 2 1066, 8543, 4 1067, 8563, 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