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1st kind: (b-1)*b^n-1

2nd kind: (b-1)*b^n+1

3rd kind: (b+1)*b^n-1

4th kind: (b+1)*b^n+1 (not exist when b = 1 mod 3)

5th kind: b^n-(b-1)

6th kind: b^n+(b-1)

7th kind: b^n-(b+1)

8th kind: b^n+(b+1) (not exist when b = 1 mod 3)

 b kind numbers n such that this form is prime (searched up to 3284) 2 1 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127, 521, 607, 1279, 2203, 2281, 3217 2 2 1, 2, 4, 8, 16 2 3 1, 2, 3, 4, 6, 7, 11, 18, 34, 38, 43, 55, 64, 76, 94, 103, 143, 206, 216, 306, 324, 391, 458, 470, 827, 1274, 3276 2 4 1, 2, 5, 6, 8, 12, 18, 30, 36, 41, 66, 189, 201, 209, 276, 353, 408, 438, 534, 2208, 2816, 3168, 3189 2 5 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127, 521, 607, 1279, 2203, 2281, 3217 2 6 1, 2, 4, 8, 16 2 7 3, 4, 5, 6, 9, 10, 12, 14, 20, 22, 24, 29, 94, 116, 122, 150, 174, 213, 221, 233, 266, 336, 452, 545, 689, 694, 850, 1736, 2321, 3237 2 8 1, 2, 3, 4, 6, 7, 12, 15, 16, 18, 28, 30, 55, 67, 84, 228, 390, 784, 1110, 1704, 2008, 2139, 2191, 2367, 2370 3 1 1, 2, 3, 7, 8, 12, 20, 23, 27, 35, 56, 62, 68, 131, 222, 384, 387, 579, 644, 1772 3 2 1, 2, 4, 5, 6, 9, 16, 17, 30, 54, 57, 60, 65, 132, 180, 320, 696, 782, 822, 897, 1252, 1454 3 3 1, 3, 5, 7, 15, 45, 95, 235, 463, 733, 1437, 1583, 1677, 1803 3 4 1, 2, 3, 6, 14, 15, 39, 201, 249, 885, 1005, 1254, 1635 3 5 2, 4, 5, 6, 9, 22, 37, 41, 90, 102, 105, 317, 520, 541, 561, 648, 780, 786, 957, 1353, 2224, 2521 3 6 1, 2, 3, 4, 8, 10, 14, 15, 24, 26, 36, 63, 98, 110, 123, 126, 139, 235, 243, 315, 363, 386, 391, 494, 1131, 1220, 1503, 1858 3 7 2, 3, 5, 21, 31, 37, 41, 53, 73, 101, 175, 203, 225, 455, 557, 651, 1333 3 8 1, 2, 3, 6, 9, 10, 22, 30, 42, 57, 87, 174, 195, 198, 562, 994, 2421, 2487 4 1 1, 2, 3, 9, 17, 19, 32, 38, 47, 103, 108, 153, 162, 229, 235, 637, 1638, 2102, 2567 4 2 1, 3, 4, 6, 9, 15, 18, 33, 138, 204, 219, 267, 1104, 1408, 1584, 1956 4 3 1, 2, 4, 5, 6, 7, 9, 16, 24, 27, 36, 74, 92, 124, 135, 137, 210, 670, 719, 761, 819, 877, 942, 1007, 1085, 1274, 1311, 1326, 1352 4 5 2, 3, 5, 6, 7, 10, 11, 12, 47, 58, 61, 75, 87, 133, 168, 226, 347, 425, 868, 1977, 2815 4 6 1, 2, 3, 6, 8, 9, 14, 15, 42, 114, 195, 392, 555, 852, 1004, 1185, 2001, 2030, 2031, 2276 4 7 2, 3, 4, 5, 6, 9, 10, 13, 16, 18, 28, 33, 59, 65, 75, 83, 103, 113, 275, 353, 405, 568, 614, 909, 1184, 1200, 1564, 2266, 2556 5 1 1, 3, 9, 13, 15, 25, 39, 69, 165, 171, 209, 339, 2033 5 2 2, 6, 18, 50, 290, 2582 5 3 1, 2, 5, 11, 28, 65, 72, 361, 479, 494, 599, 1062, 1094, 1193, 2827, 3271 5 4 1, 2, 3, 23, 27, 33, 63, 158, 278, 290, 351, 471, 797 5 5 5, 7, 15, 47, 81, 115, 267, 285 5 6 2, 6, 10, 102, 494, 794, 1326 5 7 2, 4, 5, 6, 10, 53, 76, 82, 88, 242, 247, 473, 586, 966, 1015, 1297, 1825, 2413, 2599, 2833 5 8 1, 2, 3, 4, 13, 88, 177, 184, 297, 304, 310, 562, 892, 1300 6 1 1, 2, 6, 7, 11, 23, 33, 48, 68, 79, 116, 151, 205, 1016, 1332, 1448 6 2 1, 2, 4, 17, 136, 147, 203, 590, 754, 964, 970, 1847, 2031, 2727, 2871 6 3 1, 2, 3, 13, 21, 28, 30, 32, 36, 48, 52, 76, 734, 2236, 2272, 3135 6 4 1, 6, 17, 38, 50, 80, 207, 236, 264, 309, 555, 1128, 1479, 1574, 2808 6 5 2, 3, 4, 29, 31, 34, 53, 65, 94, 202, 288, 415, 457, 483, 703, 762, 1285, 1464, 2094 6 6 1, 2, 4, 7, 10, 14, 18, 32, 55, 102, 177, 190, 247, 276, 372, 1524, 1545, 2502 6 7 2, 4, 6, 8, 9, 10, 15, 20, 46, 49, 61, 98, 110, 144, 266, 344, 978, 1692, 1880, 1924, 3142, 3220 6 8 1, 2, 3, 4, 6, 21, 24, 27, 30, 54, 70, 126, 369, 435, 612, 787, 1275, 2155, 2436 7 1 1, 2, 7, 18, 55, 69, 87, 119, 141, 189, 249, 354, 1586, 2135, 2865, 2930 7 2 1, 4, 9, 99, 412, 2633 7 3 4, 7, 10, 14, 23, 59, 1550, 1835, 2515 7 5 2, 3, 6, 9, 21, 25, 33, 49, 54, 133, 245, 255, 318, 1023, 1486 7 6 1, 3, 16, 36, 244, 315, 2577 7 7 2, 4, 8, 10, 50, 106, 182, 293, 964, 1108, 1654, 1756 8 1 3, 7, 15, 59 8 2 2, 40, 58, 60, 130, 144, 752 8 3 1, 5, 7, 21, 33, 53, 103, 313, 517, 1863, 2669 8 4 1, 2, 11, 14, 21, 27, 54, 122, 221, 435, 498, 942, 1118, 1139, 1230, 1614, 1934 8 5 13, 661, 773, 833 8 6 2, 6, 10, 26, 42, 58, 68, 196, 266, 602, 1170, 1288, 1290, 2990 8 7 3, 7, 11, 47, 81, 95, 107, 179, 233, 243, 947, 2817, 2859, 3233 8 8 1, 2, 3, 6, 10, 19, 22, 109, 798, 1498, 1519, 3109 9 1 1, 2, 5, 25, 85, 92, 97, 649, 2017, 2978 9 2 1, 4, 5, 11, 26, 29, 38, 65, 166, 490, 641, 2300 9 3 1, 2, 4, 5, 7, 10, 11, 13, 15, 19, 27, 29, 35, 42, 51, 70, 112, 164, 179, 180, 242, 454, 621, 2312 9 4 2, 6, 9, 11, 51, 56, 81, 941, 1647 9 5 2, 4, 7, 10, 11, 31, 127, 136, 215, 953, 1139, 1799 9 6 1, 2, 4, 7, 10, 19, 22, 44, 62, 76, 122, 2191, 3134 9 7 2, 3, 4, 9, 11, 18, 19, 27, 28, 46, 50, 53, 80, 155, 203, 280, 451 9 8 1, 3, 4, 9, 18, 49, 57, 67, 69, 106, 126, 258, 583, 1221, 1366 10 1 1, 3, 7, 19, 29, 37, 93, 935 10 2 3, 4, 5, 9, 22, 27, 36, 57, 62, 78, 201, 537, 696, 790, 905, 1038 10 3 1, 9, 11, 17, 22, 29, 36, 37, 52, 166, 448, 2011 10 5 3, 5, 7, 33, 45, 105, 197, 199, 281, 301, 317, 1107, 1657 10 6 1, 2, 3, 4, 9, 18, 22, 45, 49, 56, 69, 146, 202, 272, 2730, 2841 10 7 2, 5, 8, 12, 15, 18, 20, 30, 80, 143, 152, 164, 176, 239, 291, 324, 504, 594, 983, 2894 11 1 1, 3, 37, 119, 255, 355, 371, 497, 1759 11 2 10, 24, 864, 2440 11 3 1, 2, 3, 4, 11, 13, 22, 27, 48, 51, 103, 147, 280, 908, 1346, 1524, 1776, 2173, 2788 11 4 2, 3, 6, 8, 138, 149, 222, 363, 995, 1218, 2072, 2559 11 5 3, 17, 23, 79, 273, 2185 11 6 2, 8, 18, 56, 66 11 7 2, 3, 4, 5, 25, 46, 65, 421, 733, 1120, 1335, 1353, 2361, 2576 11 8 1, 4, 9, 40, 118, 126, 319, 2608 12 1 1, 2, 21, 25, 33, 54, 78, 235, 1566, 2273, 2310 12 2 3, 4, 35, 119, 476, 507 12 3 2, 6, 11, 66, 196, 478, 2968 12 4 1, 2, 8, 9, 17, 26, 62, 86, 152, 365, 2540 12 5 5, 6, 18, 33, 63 12 6 1, 4, 15, 157, 432 12 7 2, 6, 16, 17, 18, 34, 44, 64, 76, 128, 166, 186, 462, 632, 902, 1722 12 8 2, 3, 4, 27, 40, 183, 2383 13 1 2, 7, 11, 36, 164, 216, 302, 311, 455, 738, 1107, 2244 13 2 1, 2, 4, 21, 34, 48, 53, 160, 198, 417, 773, 1220 13 3 1, 3, 4, 9, 11, 17, 19, 21, 24, 84, 93, 564, 817, 864, 961, 1009, 1200 13 5 2, 4, 5, 6, 13, 24, 64, 133, 268, 744, 952, 1261 13 6 2, 4, 10, 39, 43, 80, 928, 1944 13 7 4, 11, 17, 33, 53, 72, 384, 832, 2821 14 1 1, 3, 5, 27, 35, 165, 209, 2351 14 2 2, 40, 402, 1070 14 3 2, 8, 172, 357, 918, 1025, 1373, 2812 14 4 1, 3, 24, 29, 44, 48, 1350, 1520 14 5 3, 5, 7, 13, 15, 21, 59, 63, 69, 205, 2319, 2385 14 6 16, 910, 1106, 2080 14 7 2, 3, 10, 13, 28, 31, 66, 68, 98, 185, 260, 680, 903, 1481, 2063 14 8 1, 2, 4, 9, 12, 39, 43, 112, 193, 625 15 1 14, 33, 43 15 2 1, 3, 4, 9, 11, 14, 23, 122, 141, 591, 2115, 2398, 2783 15 3 1, 9, 15, 57, 79, 221, 1105, 2265 15 4 1, 3, 5, 21, 35, 101, 860, 2691 15 5 2, 3, 28, 78, 556, 630, 1121, 1465 15 6 1, 2, 3, 9, 16, 68, 696, 1411, 2988 15 7 3, 5, 59, 65, 221, 1771 15 8 1, 2, 3, 6, 7, 9, 13, 19, 25, 36, 126, 153, 1899 16 1 1, 20, 29, 43, 56, 251 16 2 1, 3, 11, 12, 28, 42, 225, 702, 782, 972, 1701, 1848 16 3 1, 4, 5, 9, 15, 24, 31, 63, 89, 115, 153, 166, 243, 297, 328, 1072, 1320, 2275 16 5 2, 4, 19, 25, 49, 155, 2206 16 6 1, 2, 3, 4, 8, 10, 18, 19, 45, 82, 127, 202, 693, 985, 1210, 2888 16 7 2, 3, 4, 5, 6, 8, 9, 11, 24, 26, 38, 84, 111, 117, 122, 166, 202, 212, 908, 1476, 1587, 2157, 2306, 2479, 3284 17 1 1, 3, 71, 139, 265, 793, 1729 17 2 4, 20, 320, 736, 2388 17 3 4, 6, 15, 18, 23, 83, 359, 420, 711, 723, 864, 1103, 2166 17 4 1, 6, 204, 2850 17 5 11, 21, 127, 149, 469, 2019 17 6 4, 8, 12, 96, 240, 512, 768 17 7 2, 5, 6, 9, 12, 17, 49, 168, 234 17 8 2, 3, 6, 24, 30, 64, 114, 123, 442 18 1 2, 6, 26, 79, 91, 96, 416, 554, 1910 18 2 1, 6, 9, 12, 22, 30, 102, 154, 600 18 3 3, 4, 5, 7, 476, 572, 684, 865, 1240, 1945 18 4 9, 1529, 2477 18 5 2, 4, 5, 6, 12, 13, 16, 41, 213, 232, 258, 905, 928 18 6 3, 6, 48, 66, 68, 96, 116 18 7 3, 13, 15, 25, 68, 73, 147, 216, 456, 2427 18 8 1, 3, 9, 97, 162, 438, 615, 645, 762, 1465, 1795, 1803 19 1 6, 9, 20, 43, 174, 273, 428, 1388 19 2 29, 32, 59, 65, 303, 1697 19 3 1, 2, 503, 806, 1182 19 5 3, 4, 5, 7, 10, 12, 22, 52, 65, 125, 197, 267, 335, 348, 412, 1666, 1705 19 6 1, 2, 19, 193, 237, 1216, 1422 19 7 5, 25, 179, 238, 330, 1120, 1566 20 1 1, 219, 223 20 2 14, 18, 20, 38, 108, 150, 640 20 3 1, 10, 26, 30, 33, 73, 80, 120, 282, 331, 662, 859, 2976, 3106 20 4 1, 6, 191, 468, 644, 1583 20 5 17 20 6 2, 4, 32, 772 20 7 2, 4, 5, 6, 22, 41, 63, 184, 938, 949, 1266, 1339 20 8 1, 2, 19, 64, 112, 366, 526 21 1 1, 2, 7, 24, 31, 60, 230, 307, 750, 1131, 1665, 1827 21 2 1, 2, 3, 4, 12, 17, 38, 54, 56, 123, 165, 876, 1110, 1178, 2465 21 3 1, 8, 13, 26, 355, 985, 1347, 1918, 1968, 2802 21 4 1, 5, 26, 206, 350, 1547, 1853 21 5 2, 3, 5, 9, 12, 35, 57, 78, 124, 328, 490, 645, 676, 1786 21 6 1, 2, 3, 230, 388, 630, 864, 1216, 2812 21 7 2, 3, 5, 7, 15, 34, 2580, 2589 21 8 1, 2, 3, 7, 10, 16, 24, 48, 61, 79, 87, 186, 207, 1861, 1882, 2082 22 1 1, 2, 5, 19, 141, 302, 337 22 2 1, 9, 53, 261, 1491, 2120, 2592 22 3 2, 18, 252, 1303, 2475 22 5 2, 3, 35, 42, 47, 65, 71, 99, 273, 354, 837 22 6 1, 7, 19, 56, 220, 657, 1248, 2589, 2712, 3217 22 7 2, 9, 10, 16, 22, 56, 125, 421, 1205 23 1 55, 103, 115, 131, 535, 1183 23 2 14, 62, 84 23 3 7, 35, 79, 117, 137, 144, 157, 481, 529, 1300, 1813 23 4 2, 11, 18, 27, 57, 362, 383, 651 23 5 17, 61, 445 23 6 4, 6, 14, 34, 54, 162, 698, 1390 23 7 3, 4, 11, 16, 451, 2412, 2941 23 8 1, 9, 10, 31, 33, 123, 537, 571, 1290, 1914 24 1 12, 18, 63, 153, 221, 1256 24 2 2, 4, 9, 42, 47, 54, 89, 102, 118, 269, 273, 316, 698, 1872, 2126 24 3 1, 3, 11, 29, 171, 249, 569, 735, 1019, 2785 24 4 1, 2, 3, 8, 66, 968 24 5 4, 28, 57, 64, 184, 955, 1045, 1194, 1404 24 6 1, 2, 10, 12, 30, 31, 566, 584, 914, 1630 24 7 3, 13, 39, 1023, 2303, 2337, 2877 24 8 2, 4, 18, 21, 40, 42, 154, 322, 606, 910, 1710, 2178 25 1 1, 5, 7, 30, 75, 371, 383, 609, 819, 855 25 2 1, 4, 162, 1359, 2620 25 3 2, 17, 18, 118, 220, 290, 988, 1544, 3065 25 5 2, 3, 6, 13, 331, 1860, 2451 25 6 3, 8, 126, 156, 198, 3243 25 7 2, 10, 18, 31, 33, 36, 51, 62, 73, 81 26 1 133, 205, 215, 1649 26 2 2, 18, 100, 1178, 1196 26 3 1, 2, 4, 14, 26, 49, 226 26 4 2, 5, 179, 377, 425, 491, 2108, 2852 26 5 3, 11, 255, 503, 735, 2131 26 6 2, 4, 10, 12, 44, 358, 2838 26 7 4, 20, 41, 46, 50, 86, 166, 376, 496, 571, 646, 895, 1145 26 8 1, 4, 10, 16, 64, 70, 103, 250, 310, 358, 760, 1210, 3196 27 1 1, 3, 5, 13, 15, 31, 55, 151, 259, 479, 734, 1775, 2078 27 2 4, 5, 167, 408, 416, 701, 707, 1811, 3268 27 3 2, 4, 6, 8, 46, 56, 79, 571, 1904, 2690 27 4 1, 5, 6, 165, 825 27 5 9, 10, 19, 39, 85, 217, 291 27 6 1, 3, 8, 21, 100, 244, 333, 440, 556, 703 27 7 2, 5, 8, 9, 21, 32, 44, 124, 144, 246, 566, 965, 1272, 2196, 2222 27 8 2, 18, 22, 43, 67, 70, 75, 108, 843, 3054 28 1 20, 1091 28 2 1, 2, 136, 154, 524, 1234, 2150, 2368 28 3 1, 72, 153, 1131, 1175, 2175, 3215 28 5 2, 10, 25, 508, 712 28 6 2, 4, 166, 338, 1279 28 7 5, 8, 9, 19, 141, 209, 324, 1407, 2047 29 1 1, 7, 11, 57, 69, 235 29 2 2, 4, 6, 44, 334 29 3 2, 4, 13, 17, 27, 189, 200, 340, 449, 1024, 1910 29 4 5, 41, 42, 44, 125, 2013 29 5 33, 89, 101, 2439 29 6 10, 24, 664, 980, 1854 29 7 2, 3, 13, 14, 16, 18, 97, 198, 218, 281, 716, 3062 29 8 1, 3, 6, 7, 19, 21, 45, 58, 258, 342, 616, 873, 2239, 2395, 2569 30 1 2, 83, 566, 938, 1934, 2323, 3032 30 2 4, 5, 9, 18, 71, 124, 165, 172, 888, 2218 30 3 1, 5, 11, 15, 21, 22, 129, 153, 217, 411, 855, 2820, 2900 30 4 2, 36, 282, 425, 918, 2226, 2274 30 5 7, 13, 31, 40, 46, 1024, 1684, 3247 30 6 1, 2, 7, 12, 15, 16, 22, 30, 39, 60, 76, 169, 262, 327, 591, 1086, 1155 30 7 5, 7, 11, 14, 33, 66, 73, 109, 126, 168, 853, 1800, 2613 30 8 1, 3, 6, 12, 15 31 1 1, 5, 27, 41, 48, 177, 398, 536, 608, 618 31 2 5, 18, 93, 269, 488, 1514 31 3 1, 4, 9, 11, 22, 34, 59, 89, 117, 127, 172, 223, 1056 31 5 3, 5, 29, 103, 106, 174, 615, 954, 1378 31 6 1, 2, 4, 6, 10, 30, 1230 31 7 2, 3, 21, 23, 37, 78, 79, 219, 429, 1183, 1333, 1807 32 1 1, 7, 23, 41, 47, 693 32 2 12, 28 32 3 2, 7, 38, 66, 72, 163, 371, 1095, 1942 32 4 5, 105, 284, 326 32 5 7, 31, 51, 99, 547, 2275 32 6 108 32 7 2, 18, 38, 57, 88, 145, 301, 2429 32 8 3, 4, 6, 12, 15, 27, 42, 82, 1431, 1747 33 1 2, 3, 146, 1543, 1592, 2247, 3087 33 2 2, 4, 6, 9, 29, 292, 377, 444, 581, 2262 33 3 4, 13, 48, 216, 859, 1036, 1968 33 4 1, 629, 699, 1571, 1683 33 5 4, 12, 52, 108, 198, 201, 249, 262, 777, 2556 33 6 3, 4, 16, 68, 112, 126, 882 33 7 7, 205, 700, 1252, 1936, 2760, 3031 33 8 1, 2, 10, 19, 82, 189 34 1 15, 25, 99, 188 34 2 1, 2, 4, 9, 32, 33, 50, 56, 168, 315, 1592 34 3 2, 3, 4, 5, 24, 59, 64, 91, 171, 731, 784, 1084, 2642 34 5 2, 10, 12, 18, 60, 220, 225, 253, 407, 427, 1174 34 6 1, 6, 27, 108, 345, 351, 798 34 7 5, 16, 29, 40, 68, 96, 127, 336, 456, 2780 35 1 3, 5, 7, 13, 31, 69, 341, 437, 485 35 2 2 35 3 1, 19, 23, 45, 103, 113, 1749 35 4 2, 3, 6, 8, 29, 185, 492, 2028 35 5 3, 5, 21, 37, 109, 117, 513, 873 35 6 2, 70, 94 35 7 3, 135, 141, 359, 679, 1365 35 8 1, 15, 24, 66, 1621, 1848 36 1 1, 9, 11, 15, 27, 145, 417, 762, 2693 36 2 2, 9, 11, 21, 50, 96, 137, 210, 345, 1282 36 3 2, 5, 7, 9, 13, 23, 35, 110, 137, 345, 712, 927, 2779 36 4 3, 8, 1163 36 5 5, 6, 11, 18, 143, 1373, 2404 36 6 1, 3, 6, 13, 38, 103, 218, 273, 289, 933 36 7 2, 3, 5, 7, 32, 35, 88, 137, 147 36 8 1, 4, 10, 24, 64, 1005, 1522, 1918, 2217 37 1 7, 325, 439 37 2 9, 16, 36, 72, 299, 532, 681 37 3 2, 22, 92, 172, 712, 2054, 2602 37 5 67, 95, 341, 577, 2651 37 6 1, 7, 44, 57, 2623, 2808, 3091 37 7 9, 16, 850, 1576 38 1 38 2 16, 32, 72 38 3 1, 3, 4, 12, 16, 157, 361, 419, 427, 523, 647 38 4 1, 21, 63, 87, 122, 206 38 5 5, 429 38 6 2, 16, 102, 500, 1568, 2904 38 7 3, 11, 32, 81, 531, 944 38 8 2, 9, 10, 2574, 2829 39 1 1, 3, 5, 8, 90, 272, 290, 767, 2775 39 2 1, 4, 45, 2877 39 3 1, 3, 4, 6, 69, 101, 139, 163, 188, 432, 473, 512, 606, 1238, 2420, 2852 39 4 3, 9, 44, 89, 356, 1208, 1719, 2915 39 5 2, 3, 4, 7, 10, 31, 33, 95, 431, 640, 757, 1187, 1197 39 6 2, 3, 105, 1287 39 7 2, 4, 7, 8, 16, 86, 87, 280, 519 39 8 1, 3, 7, 13, 81, 84, 454, 2376 40 1 1, 19, 218, 767, 2607 40 2 2, 4, 11, 17, 60, 69, 96, 159, 310, 330, 994, 1103 40 3 2, 4, 10, 88, 134, 644, 712 40 5 9, 10, 15, 22, 49, 60, 153, 269, 274, 663, 883, 975, 1294, 2656 40 6 1, 4, 10, 13, 64, 136, 224, 260 40 7 2, 4, 10, 72, 86 41 1 7, 295, 1573 41 2 80, 120, 170 41 3 1, 5, 7, 49, 100, 134, 167, 542, 1877, 2104, 2329 41 4 1, 6, 11, 39, 636, 1637 41 5 3, 5, 55, 161, 197, 1697 41 6 2, 96, 132, 506 41 7 3, 6, 7, 9, 21, 23, 27, 63, 109, 121, 134, 221, 261, 639, 871, 1605, 2781, 3217 41 8 1, 2, 3, 73, 138, 669 42 1 1, 3, 6, 9, 11, 47, 61, 105, 263, 517 42 2 1, 4, 5, 15, 20, 39, 3041, 3204 42 3 8, 14, 26, 72, 80, 160, 455, 484 42 4 2, 17, 114, 501 42 5 2, 3, 11, 15, 31, 57, 339, 345, 517, 1917, 2553 42 6 1, 16, 19, 96, 177, 235, 2455 42 7 2, 4, 12, 40, 60, 192, 226, 392, 696, 712, 1042, 1393 42 8 3, 7, 159, 468, 651, 2838 43 1 7, 39, 71, 639 43 2 2, 9, 14, 40, 81, 156, 221, 252, 569 43 3 3, 4, 24, 67 43 5 4, 6, 42, 64, 65, 1017 43 6 3, 4, 20, 87, 180, 342, 1963 43 7 31, 32, 87, 229, 1837, 2271 44 1 7, 17, 43, 731, 1751 44 2 4, 108, 174, 272, 1098, 2260 44 3 1, 2, 16, 40, 108, 119, 295, 468, 986, 1803, 2043 44 4 2, 3, 24, 26, 32, 134 44 5 25, 91, 1385 44 6 2, 4, 92, 234 44 7 4, 5, 49, 50, 113, 267, 447, 1206 44 8 1, 3, 4, 12, 18, 28, 79, 91, 193, 895, 1048 45 1 1, 13, 72, 83, 132, 144, 1473, 1901 45 2 2, 5, 15, 17, 28, 84, 390, 778, 1536 45 3 1, 6, 40, 49, 58, 78, 366, 1009, 2091, 3009 45 4 2, 15, 21, 39, 183, 255, 849, 1604, 1983 45 5 3, 4, 6, 12, 18, 64, 424, 1663 45 6 1, 2, 50, 86, 152, 565, 1172, 1806 45 7 2, 3, 6, 8, 26, 41, 47, 51, 74, 392, 743, 746, 1872, 2724, 3209 45 8 6, 10, 210, 294, 1024 46 1 1, 2, 3, 9, 12, 24, 68, 108, 476, 619, 839, 1561 46 2 3, 18, 27, 28, 66, 129, 189, 399, 550, 714, 2043 46 3 1, 6, 36, 79, 107, 475, 2065 46 5 4, 5, 9, 15, 72, 168, 216, 222 46 6 2, 3, 8, 12, 81, 320, 878, 1166, 1640 46 7 2, 7, 29, 71, 145, 459, 504 47 1 1, 9, 15, 45, 211, 1633, 1933 47 2 16 47 3 2, 4, 12, 19, 3018 47 4 2, 41, 129 47 5 5, 11, 13, 53, 115, 899, 2287 47 6 20, 904 47 7 2, 10, 12, 16, 18, 205 47 8 4, 16, 67, 70, 543 48 1 2, 3, 14, 48, 215, 324, 518, 2439 48 2 2, 5, 6, 40, 986, 1246 48 3 1, 5, 11, 35, 39, 1589 48 4 6, 14, 15, 87, 231, 3125 48 5 5, 37, 162, 281 48 6 2, 86, 182, 224, 279, 1114, 2356, 3170 48 7 3, 5, 23, 29, 179, 183, 185, 1941 48 8 1, 3, 6, 19, 66, 73, 106, 199, 246 49 1 1, 5, 18, 21, 35, 84, 121, 189, 2610 49 2 2, 4, 9, 11, 26, 63, 75, 135, 164, 449, 662, 1376, 1683 49 3 2, 3, 5, 10, 11, 13, 14, 45, 78, 82, 152, 158, 243, 401, 456, 768, 1763 49 5 24, 36, 1230, 1665, 1765, 2957 49 6 1, 7, 9, 24, 26, 42, 139, 656, 878, 1076, 1212, 1260, 2934 49 7 2, 7, 9, 13, 35, 46, 64, 130, 378, 402, 455, 601, 866, 1406 50 1 25, 37, 39, 47, 99, 245, 1589 50 2 2, 30, 412, 628, 1248 50 3 1, 4, 64, 82, 111, 124, 152, 239, 371, 404, 411 50 4 1, 6, 2987 50 5 3, 7, 11, 23, 105, 159, 175, 221, 317, 577, 1233, 1523, 1917, 2097 50 6 2, 6, 8, 30, 54, 116, 192 50 7 4, 5, 8, 9, 10, 15, 27, 65, 108, 117, 207, 345, 787, 840 50 8 1, 2, 13 51 1 1, 31, 170, 557 51 2 1, 2, 10, 41, 125, 137, 2204 51 3 5, 8, 12, 16, 18, 84, 119, 214, 219, 443, 1333, 2024 51 4 183, 351, 464, 1175, 1593, 2084 51 5 2 51 6 1, 3, 6, 10, 19, 26, 40, 86, 114, 136, 424, 733 51 7 2, 30, 395, 1011, 1161 51 8 1, 9, 10, 45, 142, 457, 840, 2470 52 1 5, 13, 19, 425, 585, 1833, 2130 52 2 15, 28, 372, 1000 52 3 3, 7, 46, 52, 90, 359 52 5 3, 6, 15, 25, 41, 106, 318, 431, 655, 2071 52 6 1, 3, 32, 40, 115, 319, 895, 939, 1368, 2335 52 7 108, 138, 1254 53 1 3, 251 53 2 960 53 3 1, 8, 21, 1437, 2635 53 4 2, 3, 9, 17, 41, 51 53 5 21, 173, 2153 53 6 2, 6, 32, 254, 2910 53 7 4, 7, 11, 25, 49, 75, 155, 1272, 2656 53 8 1, 3, 7, 22, 51, 199 54 1 1, 5, 14, 321, 427, 620, 902, 1461, 1555 54 2 15, 65, 98, 120, 124, 168, 188, 1371, 1936 54 3 1, 5, 7, 23, 28, 42, 264, 359, 721, 1655 54 4 1, 9, 23, 51, 75, 104, 176, 1233, 3243 54 5 3, 6, 547, 591, 1609 54 6 1, 2, 4, 28, 45, 74, 144, 404, 3252 54 7 2, 8, 192, 758 54 8 1, 2, 3, 15, 21, 28, 139, 2872 55 1 1, 15, 44, 71, 98, 147, 225, 242 55 2 1, 2, 3, 5, 28, 29, 98, 291 55 3 1, 2, 7, 22, 37, 40, 62, 231, 266, 352, 372, 537, 2428, 3099 55 5 2, 541, 900, 2483 55 6 1, 2, 3, 16, 20, 196, 745, 758, 1527, 2172, 2179 55 7 2, 3, 4, 6, 8, 27, 58, 84, 93, 214, 1234, 1617 56 1 1, 25, 77, 297 56 2 4, 8, 34, 36, 458, 496 56 3 1, 7, 10, 28, 76, 87, 103, 256, 410, 626, 851, 885, 3050 56 4 2, 3, 12, 24, 36, 222, 473, 1451 56 5 9, 23, 105, 115, 439, 1389 56 6 2, 6, 12, 14, 64, 190, 634, 1002, 1338, 1964 56 7 2, 5, 6, 7, 9, 12, 21, 24, 104, 142, 337, 474, 652, 679, 990, 1104, 3096 56 8 1, 3, 13, 21, 34, 183, 351, 367, 502, 1137, 1311, 1654 57 1 1, 2, 3, 18, 367 57 2 3, 16, 36, 48 57 3 3, 4, 24, 28, 50, 71, 106, 127, 206, 586, 655 57 4 1, 2, 9, 14, 113, 224, 1545 57 5 3, 5, 51, 61 57 6 1, 9, 68, 157, 609 57 7 2, 4, 6, 10, 36, 196, 864, 2906, 3206 57 8 2, 7, 10, 24 58 1 2, 14, 1076 58 2 1, 2, 14, 2514 58 3 3, 15, 72, 99, 133, 669, 2125 58 5 2, 16, 136 58 6 4, 19, 64, 1654 58 7 3, 16, 60, 217 59 1 3, 15, 493, 2183 59 2 14, 38, 104, 362, 1256, 3260 59 3 1, 4, 9, 10, 94, 136, 305, 814, 1015, 1476 59 4 1, 219 59 5 11, 117 59 6 2, 10, 14, 220 59 7 3, 20, 135, 138, 233, 551 59 8 2, 6, 52, 2397 60 1 1, 5, 13 60 2 1, 21, 51, 117, 178, 292, 579, 624, 718 60 3 1, 2, 7, 11, 52, 84, 1413, 1933, 2188 60 4 21, 98, 1421, 3083 60 5 2, 4, 9, 12, 17, 415, 496 60 6 2, 6, 24, 2739 60 7 2, 3, 4, 9, 10, 96, 180, 523, 810, 879, 1223, 1874, 1884, 2071 60 8 3, 4, 28, 33, 73, 408, 1554 61 1 1, 2, 7, 25, 132, 216, 439, 482, 581, 1081 61 2 6, 8, 27, 47, 54, 184 61 3 5, 11, 25, 26 61 5 5, 13, 24, 42, 81, 112, 2592 61 6 7, 9, 67, 72, 370, 1276, 1557, 2962 61 7 2, 4, 25, 28, 41, 187, 217, 508 62 1 899, 2185 62 2 20, 212 62 3 2, 15, 198 62 4 1, 2, 14, 18, 998, 1034 62 5 3, 41, 49, 61, 63, 235 62 6 8, 68 62 7 18, 26, 342, 2194 62 8 2, 15, 40, 48 63 1 3, 30, 36, 79, 527, 1002, 2687 63 2 1, 4, 17, 18, 484, 1152 63 3 1483 63 4 185, 1751 63 5 2, 4, 30, 36, 186, 393 63 6 3, 6, 20, 67, 147, 3202 63 7 7, 19, 1487, 2153 63 8 1, 73, 685 64 1 11, 21, 119, 1677 64 2 3, 10, 38, 128, 215, 404, 413, 504, 826 64 3 1, 2, 13, 27, 29, 32, 34, 155, 162, 296, 428, 732, 788, 1341, 2079 64 5 4, 17, 141, 492, 1432, 1554, 3157 64 6 1, 2, 871, 914 64 7 3, 6, 7, 8, 35, 57, 88, 273, 299, 388