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 2020-11-21, 05:03 #1101 sweety439   Nov 2016 ACC16 Posts For the Sierpinski bases with CK=6: bases 244, 454, 489, 1014 have k=1 remain base 174 has k=4 remain base 979 has k=3 remain Other bases are proven.
2020-11-21, 05:08   #1102
sweety439

Nov 2016

22×691 Posts

Quote:
 Originally Posted by sweety439 For the Sierpinski bases with CK=5: bases 83, 107, 143, 155, 215, 227, 263, 287, 311, 347, 383, 407, 443, 467, 515, 563, 611, 635, 647, 671, 683, 707, 731, 743, 755, 767, 851, 887, 911, 923, 947, 983 have k=1 remain bases 83, 191, 323, 683, 743, 827 have k=3 remain bases 155, 335, 371, 395, 467, 611, 731, 767, 803, 851, 875, 971 have k=4 remain Other bases are proven.
the 2k Sierpinski bases with CK=5:

S83 has k=1 and k=3 remain
S155 has k=1 and k=4 remain
S467 has k=1 and k=4 remain
S611 has k=1 and k=4 remain
S683 has k=1 and k=3 remain
S731 has k=1 and k=4 remain
S743 has k=1 and k=3 remain
S767 has k=1 and k=4 remain
S851 has k=1 and k=4 remain

there are no 3k Sierpinski bases with CK=5

2020-11-21, 05:08   #1103
sweety439

Nov 2016

1010110011002 Posts

Quote:
 Originally Posted by sweety439 For the Sierpinski bases with CK=6: bases 244, 454, 489, 1014 have k=1 remain base 174 has k=4 remain base 979 has k=3 remain Other bases are proven.
there are no Sierpinski bases with CK=6 with >= 2 k's remain

 2020-11-22, 08:26 #1104 sweety439   Nov 2016 ACC16 Posts Sierpinski conjectures with CK=2 with k=1 remain: Sierpinski conjectures with CK=3 with k=1 remain: Sierpinski conjectures with CK=3 with k=2 remain: Sierpinski conjectures with CK=4 with k=1 remain: 89, 104, 149, 179, 269, 344, 359, 389, 404, 509, 524, 629, 659, 734, 749, 794, 809, 854, 899, 944, 974, Sierpinski conjectures with CK=4 with k=2 remain: 914, 1004, Sierpinski conjectures with CK=4 with k=3 remain: 779, Sierpinski conjectures with CK=5 with k=1 remain: 83, 107, 143, 155, 215, 227, 263, 287, 311, 347, 383, 407, 443, 467, 515, 563, 611, 635, 647, 671, 683, 707, 731, 743, 755, 767, 851, 887, 911, 923, 947, 983, Sierpinski conjectures with CK=5 with k=2 remain: 383, 647, 947, Sierpinski conjectures with CK=5 with k=3 remain: 83, 191, 323, 683, 743, 827, Sierpinski conjectures with CK=5 with k=4 remain: 155, 335, 371, 395, 467, 611, 731, 767, 803, 851, 875, 971, Sierpinski conjectures with CK=6 with k=1 remain: 244, 454, 489, 1014, Sierpinski conjectures with CK=6 with k=2 remain: Sierpinski conjectures with CK=6 with k=3 remain: 979, Sierpinski conjectures with CK=6 with k=4 remain: 174, Sierpinski conjectures with CK=6 with k=5 remain: Sierpinski conjectures with CK=7 with k=1 remain: 77, 197, 293, 413, 437, 533, 653, 773, 797, 893, 941, Sierpinski conjectures with CK=7 with k=2 remain: 365, 461, 773, 917, Sierpinski conjectures with CK=7 with k=3 remain: 461, Sierpinski conjectures with CK=7 with k=4 remain: 53, 941, Sierpinski conjectures with CK=7 with k=5 remain: 533, 941, Sierpinski conjectures with CK=7 with k=6 remain: Sierpinski conjectures with CK=8 with k=1 remain: 62, 356, 377, 398, 473, 482, 608, 632, 650, 668, 692, 722, 818, 902, Sierpinski conjectures with CK=8 with k=2 remain: Sierpinski conjectures with CK=8 with k=3 remain: Sierpinski conjectures with CK=8 with k=4 remain: 230, 356, 776, Sierpinski conjectures with CK=8 with k=5 remain: 545, Sierpinski conjectures with CK=8 with k=6 remain: Sierpinski conjectures with CK=8 with k=7 remain: Sierpinski conjectures with CK=9 with k=1 remain: 99, 319, 439, 619, 679, 759, 939, 999, Sierpinski conjectures with CK=9 with k=2 remain: 859, Sierpinski conjectures with CK=9 with k=3 remain: 499, Sierpinski conjectures with CK=9 with k=4 remain: Sierpinski conjectures with CK=9 with k=5 remain: 439, 999, Sierpinski conjectures with CK=9 with k=6 remain: 579, 799, 999, Sierpinski conjectures with CK=9 with k=7 remain: 939, Sierpinski conjectures with CK=9 with k=8 remain: 739, Sierpinski conjectures with CK=10 with k=1 remain: 98, 362, 593, 626, Sierpinski conjectures with CK=10 with k=2 remain: Sierpinski conjectures with CK=10 with k=3 remain: Sierpinski conjectures with CK=10 with k=4 remain: 32, 593, Sierpinski conjectures with CK=10 with k=5 remain: Sierpinski conjectures with CK=10 with k=6 remain: Sierpinski conjectures with CK=10 with k=7 remain: Sierpinski conjectures with CK=10 with k=8 remain: 428, 593, 758, Sierpinski conjectures with CK=10 with k=9 remain: Sierpinski conjectures with CK=11 with k=1 remain: Sierpinski conjectures with CK=11 with k=2 remain: Sierpinski conjectures with CK=11 with k=3 remain: Sierpinski conjectures with CK=11 with k=4 remain: Sierpinski conjectures with CK=11 with k=5 remain: Sierpinski conjectures with CK=11 with k=6 remain: Sierpinski conjectures with CK=11 with k=7 remain: Sierpinski conjectures with CK=11 with k=8 remain: Sierpinski conjectures with CK=11 with k=9 remain: Sierpinski conjectures with CK=11 with k=10 remain: Sierpinski conjectures with CK=12 with k=1 remain: 285, 597, Sierpinski conjectures with CK=12 with k=2 remain: Sierpinski conjectures with CK=12 with k=3 remain: Sierpinski conjectures with CK=12 with k=4 remain: Sierpinski conjectures with CK=12 with k=5 remain: Sierpinski conjectures with CK=12 with k=6 remain: Sierpinski conjectures with CK=12 with k=7 remain: 597, Sierpinski conjectures with CK=12 with k=8 remain: 828, Sierpinski conjectures with CK=12 with k=9 remain: Sierpinski conjectures with CK=12 with k=10 remain: 1000, Sierpinski conjectures with CK=12 with k=11 remain: Sierpinski conjectures with CK=13 with k=1 remain: 55, 223, 307, 447, 475, 615, 783, 867, 888, Sierpinski conjectures with CK=13 with k=2 remain: Sierpinski conjectures with CK=13 with k=3 remain: 363, 783, Sierpinski conjectures with CK=13 with k=4 remain: Sierpinski conjectures with CK=13 with k=5 remain: Sierpinski conjectures with CK=13 with k=6 remain: Sierpinski conjectures with CK=13 with k=7 remain: 895, Sierpinski conjectures with CK=13 with k=8 remain: 391, Sierpinski conjectures with CK=13 with k=9 remain: 643, Sierpinski conjectures with CK=13 with k=10 remain: Sierpinski conjectures with CK=13 with k=11 remain: 895, Sierpinski conjectures with CK=13 with k=12 remain:
 2020-11-22, 08:33 #1105 sweety439   Nov 2016 276410 Posts Riesel conjectures with CK=2 with k=1 remain: Riesel conjectures with CK=3 with k=1 remain: Riesel conjectures with CK=3 with k=2 remain: Riesel conjectures with CK=4 with k=1 remain: 269, Riesel conjectures with CK=4 with k=2 remain: 1019, Riesel conjectures with CK=4 with k=3 remain: 659, Riesel conjectures with CK=5 with k=1 remain: Riesel conjectures with CK=5 with k=2 remain: Riesel conjectures with CK=5 with k=3 remain: 347, 575, 587, 731, Riesel conjectures with CK=5 with k=4 remain: 275, 647, Riesel conjectures with CK=6 with k=1 remain: 384, Riesel conjectures with CK=6 with k=2 remain: Riesel conjectures with CK=6 with k=3 remain: 699, Riesel conjectures with CK=6 with k=4 remain: Riesel conjectures with CK=6 with k=5 remain: 489, Riesel conjectures with CK=7 with k=1 remain: Riesel conjectures with CK=7 with k=2 remain: Riesel conjectures with CK=7 with k=3 remain: Riesel conjectures with CK=7 with k=4 remain: Riesel conjectures with CK=7 with k=5 remain: Riesel conjectures with CK=7 with k=6 remain: Riesel conjectures with CK=8 with k=1 remain: 713, 881, Riesel conjectures with CK=8 with k=2 remain: Riesel conjectures with CK=8 with k=3 remain: Riesel conjectures with CK=8 with k=4 remain: 650, Riesel conjectures with CK=8 with k=5 remain: Riesel conjectures with CK=8 with k=6 remain: 986, Riesel conjectures with CK=8 with k=7 remain: 398, 713, Riesel conjectures with CK=9 with k=1 remain: 759, Riesel conjectures with CK=9 with k=2 remain: Riesel conjectures with CK=9 with k=3 remain: Riesel conjectures with CK=9 with k=4 remain: Riesel conjectures with CK=9 with k=5 remain: 429, 499, Riesel conjectures with CK=9 with k=6 remain: 549, 619, Riesel conjectures with CK=9 with k=7 remain: Riesel conjectures with CK=9 with k=8 remain: Riesel conjectures with CK=10 with k=1 remain: 956, Riesel conjectures with CK=10 with k=2 remain: Riesel conjectures with CK=10 with k=3 remain: Riesel conjectures with CK=10 with k=4 remain: Riesel conjectures with CK=10 with k=5 remain: Riesel conjectures with CK=10 with k=6 remain: Riesel conjectures with CK=10 with k=7 remain: Riesel conjectures with CK=10 with k=8 remain: Riesel conjectures with CK=10 with k=9 remain: Riesel conjectures with CK=11 with k=1 remain: Riesel conjectures with CK=11 with k=2 remain: Riesel conjectures with CK=11 with k=3 remain: Riesel conjectures with CK=11 with k=4 remain: Riesel conjectures with CK=11 with k=5 remain: Riesel conjectures with CK=11 with k=6 remain: Riesel conjectures with CK=11 with k=7 remain: Riesel conjectures with CK=11 with k=8 remain: Riesel conjectures with CK=11 with k=9 remain: Riesel conjectures with CK=11 with k=10 remain: Riesel conjectures with CK=12 with k=1 remain: Riesel conjectures with CK=12 with k=2 remain: Riesel conjectures with CK=12 with k=3 remain: Riesel conjectures with CK=12 with k=4 remain: Riesel conjectures with CK=12 with k=5 remain: Riesel conjectures with CK=12 with k=6 remain: Riesel conjectures with CK=12 with k=7 remain: Riesel conjectures with CK=12 with k=8 remain: Riesel conjectures with CK=12 with k=9 remain: Riesel conjectures with CK=12 with k=10 remain: Riesel conjectures with CK=12 with k=11 remain: Riesel conjectures with CK=13 with k=1 remain: 951, Riesel conjectures with CK=13 with k=2 remain: 581, Riesel conjectures with CK=13 with k=3 remain: 783, Riesel conjectures with CK=13 with k=4 remain: 223, 475, 535, 653, 727, 812, Riesel conjectures with CK=13 with k=5 remain: 535, 581, Riesel conjectures with CK=13 with k=6 remain: Riesel conjectures with CK=13 with k=7 remain: 437, 463, 548, 821, 893, 895, Riesel conjectures with CK=13 with k=8 remain: 727, 867, Riesel conjectures with CK=13 with k=9 remain: 893, Riesel conjectures with CK=13 with k=10 remain: Riesel conjectures with CK=13 with k=11 remain: 123, 173, 221, 317, 533, Riesel conjectures with CK=13 with k=12 remain: 615,
 2020-11-22, 08:38 #1106 sweety439   Nov 2016 22×691 Posts All Sierpinski conjectures with k=1 remain: 31, 38, 50, 55, 62, 63, 67, 68, 77, 83, 86, 89, 91, 92, 97, 98, 99, 104, 107, 109, 122, 123, 127, 135, 137, 143, 144, 147, 149, 151, 155, 161, 168, 179, 182, 183, 186, 189, 197, 200, 202, 207, 211, 212, 214, 215, 218, 223, 227, 233, 235, 241, 244, 246, 247, 249, 252, 255, 257, 258, 263, 265, 269, 281, 283, 285, 286, 287, 291, 293, 294, 298, 302, 303, 304, 307, 308, 311, 319, 322, 324, 327, 338, 344, 347, 351, 354, 355, 356, 359, 362, 367, 368, 369, 377, 380, 383, 387, 389, 390, 394, 398, 401, 402, 404, 407, 410, 411, 413, 416, 417, 422, 423, 424, 437, 439, 443, 446, 447, 450, 454, 458, 467, 468, 469, 473, 475, 480, 482, 483, 484, 489, 493, 495, 497, 500, 509, 511, 514, 515, 518, 524, 528, 530, 533, 534, 538, 547, 549, 552, 555, 558, 563, 564, 572, 574, 578, 580, 590, 591, 593, 597, 601, 602, 603, 604, 608, 611, 615, 619, 620, 622, 626, 627, 629, 632, 635, 637, 638, 645, 647, 648, 650, 651, 653, 655, 659, 662, 663, 666, 667, 668, 670, 671, 675, 678, 679, 683, 684, 687, 691, 692, 694, 698, 706, 707, 709, 712, 720, 722, 724, 731, 734, 735, 737, 741, 743, 744, 746, 749, 752, 753, 754, 755, 759, 762, 766, 767, 770, 771, 773, 775, 783, 785, 787, 792, 794, 797, 802, 806, 807, 809, 812, 813, 814, 818, 823, 825, 836, 840, 842, 844, 848, 849, 851, 853, 854, 867, 868, 870, 872, 873, 878, 887, 888, 889, 893, 896, 899, 902, 903, 904, 907, 908, 911, 915, 922, 923, 924, 926, 927, 932, 937, 938, 939, 941, 942, 943, 944, 945, 947, 948, 953, 954, 958, 961, 964, 967, 968, 974, 975, 977, 978, 980, 983, 987, 988, 993, 994, 998, 999, 1002, 1003, 1006, 1009, 1014, 1016, All Sierpinski conjectures with k=2 remain: 365, 383, 461, 512, 542, 647, 773, 801, 829, 836, 859, 878, 908, 914, 917, 947, 1004, 1006, All Sierpinski conjectures with k=3 remain: 83, 123, 191, 303, 323, 333, 363, 403, 453, 461, 483, 499, 511, 523, 683, 711, 718, 723, 743, 751, 779, 783, 807, 813, 823, 827, 847, 912, 979, 997, 1003, 1005, 1011, 1023, All Sierpinski conjectures with k=4 remain: 32, 53, 155, 174, 204, 212, 230, 266, 281, 332, 334, 335, 356, 371, 386, 395, 467, 512, 593, 611, 661, 731, 767, 776, 803, 848, 851, 861, 875, 926, 941, 971, 981, 1024, All Sierpinski conjectures with k=5 remain: 137, 183, 187, 193, 243, 305, 308, 415, 439, 512, 533, 545, 663, 667, 675, 761, 795, 809, 824, 835, 898, 941, 955, 997, 999, 1006, All Sierpinski conjectures with k=6 remain: 212, 239, 509, 579, 625, 729, 774, 799, 894, 993, 999, All Sierpinski conjectures with k=7 remain: 103, 255, 357, 387, 427, 477, 487, 573, 597, 687, 717, 735, 787, 807, 877, 895, 927, 939, 997, 1017, All Sierpinski conjectures with k=8 remain: 86, 140, 163, 182, 235, 263, 328, 334, 349, 353, 368, 389, 391, 395, 422, 426, 428, 434, 443, 463, 488, 497, 558, 572, 575, 593, 606, 613, 658, 698, 710, 739, 746, 748, 758, 770, 773, 785, 790, 824, 828, 847, 866, 883, 908, 911, 930, 937, 953, 955, 957, 958, 983, 993, 1009, 1014, All Sierpinski conjectures with k=9 remain: 167, 183, 187, 331, 383, 503, 555, 557, 576, 627, 643, 663, 683, 696, 724, 731, 751, 787, 829, 884, 903, 969, 1023, All Sierpinski conjectures with k=10 remain: 185, 338, 417, 432, 614, 650, 668, 744, 773, 863, 914, 935, 977, 1000, All Sierpinski conjectures with k=11 remain: 131, 243, 274, 355, 373, 560, 634, 682, 733, 743, 770, 813, 837, 877, 889, 895, 904, 933, 957, 958, 968, 997, All Sierpinski conjectures with k=12 remain: 12, 163, 207, 354, 362, 368, 417, 480, 620, 692, 697, 736, 753, 792, 978, 998, 1019, 1022,
 2020-11-22, 08:39 #1107 sweety439   Nov 2016 22·691 Posts All Riesel conjectures with k=1 remain: 185, 269, 281, 380, 384, 385, 394, 452, 465, 511, 574, 601, 631, 632, 636, 711, 713, 759, 771, 795, 861, 866, 881, 938, 948, 951, 956, 963, 1005, 1015, All Riesel conjectures with k=2 remain: 581, 992, 1019, All Riesel conjectures with k=3 remain: 347, 575, 587, 588, 595, 659, 699, 711, 731, 751, 763, 783, 795, 823, 972, All Riesel conjectures with k=4 remain: 178, 223, 271, 275, 310, 373, 412, 438, 475, 535, 647, 650, 653, 655, 718, 727, 742, 751, 778, 790, 812, 862, 868, 871, 898, 927, 940, 968, 970, 997, 1003, All Riesel conjectures with k=5 remain: 31, 117, 181, 338, 411, 429, 489, 499, 535, 581, 583, 631, 717, 757, 998, All Riesel conjectures with k=6 remain: 234, 412, 549, 553, 573, 619, 750, 878, 894, 954, 986, All Riesel conjectures with k=7 remain: 202, 233, 308, 373, 392, 398, 437, 463, 518, 548, 638, 662, 713, 807, 821, 848, 878, 893, 895, 953, 1015, All Riesel conjectures with k=8 remain: 321, 328, 372, 374, 407, 432, 477, 575, 665, 680, 697, 710, 721, 722, 727, 728, 752, 800, 815, 836, 867, 957, 958, 972, 974, All Riesel conjectures with k=9 remain: 107, 207, 237, 325, 347, 378, 438, 483, 536, 566, 570, 592, 636, 688, 705, 711, 718, 823, 830, 835, 852, 893, 907, 926, 927, 995, 1010, All Riesel conjectures with k=10 remain: 80, 233, 262, 284, 307, 505, 530, 551, 611, 691, 712, 724, 883, 899, 912, 980, All Riesel conjectures with k=11 remain: 65, 123, 137, 163, 173, 207, 214, 221, 227, 235, 247, 263, 283, 293, 317, 331, 375, 377, 422, 444, 452, 458, 471, 487, 533, 542, 555, 603, 627, 638, 663, 668, 691, 723, 752, 793, 804, 823, 843, 857, 863, 872, 907, 911, 923, 949, 950, 962, 987, All Riesel conjectures with k=12 remain: 263, 615, 912, 978,
 2020-11-22, 08:51 #1108 sweety439   Nov 2016 1010110011002 Posts Remain k for Sierpinski CK=1: Remain k for Sierpinski CK=2: Remain k for Sierpinski CK=3: Remain k for Sierpinski CK=4: 14: 29: 44: 59: 74: 89: 1, 104: 1, 119: 134: 149: 1, 164: 179: 1, 194: 209: 224: 239: 254: 269: 1, 284: 299: 314: 329: 344: 1, 359: 1, 374: 389: 1, 404: 1, 419: 434: 449: 464: 479: 494: 509: 1, 524: 1, 539: 554: 569: 584: 599: 614: 629: 1, 644: 659: 1, 674: 689: 704: 719: 734: 1, 749: 1, 764: 779: 3, 794: 1, 809: 1, 824: 839: 854: 1, 869: 884: 899: 1, 914: 2, 929: 944: 1, 959: 974: 1, 989: 1004: 2, 1019: Remain k for Sierpinski CK=5: 11: 23: 35: 47: 71: 83: 1, 3, 95: 107: 1, 131: 143: 1, 155: 1, 4, 167: 191: 3, 203: 215: 1, 227: 1, 251: 263: 1, 275: 287: 1, 311: 1, 323: 3, 335: 4, 347: 1, 371: 4, 383: 1, 2, 395: 4, 407: 1, 431: 443: 1, 455: 467: 1, 4, 491: 503: 515: 1, 527: 551: 563: 1, 575: 587: 611: 1, 4, 623: 635: 1, 647: 1, 2, 671: 1, 683: 1, 3, 695: 707: 1, 731: 1, 4, 743: 1, 3, 755: 1, 767: 1, 4, 791: 803: 4, 815: 827: 3, 851: 1, 4, 863: 875: 4, 887: 1, 911: 1, 923: 1, 935: 947: 1, 2, 971: 4, 983: 1, 995: 1007: Remain k for Sierpinski CK=6: 34: 69: 139: 174: 4, 244: 1, 279: 349: 384: 454: 1, 489: 1, 559: 594: 664: 699: 769: 804: 874: 909: 979: 3, 1014: 1, Remain k for Sierpinski CK=7: 5: 53: 4, 77: 1, 101: 125: 173: 197: 1, 221: 245: 293: 1, 317: 341: 365: 2, 413: 1, 437: 1, 461: 2, 3, 485: 533: 1, 5, 557: 581: 605: 653: 1, 677: 701: 725: 773: 1, 2, 797: 1, 821: 845: 893: 1, 917: 2, 941: 1, 4, 5, 965: 1013: Remain k for Sierpinski CK=8: 20: 41: 62: 1, 146: 188: 230: 4, 242: 272: 278: 356: 1, 4, 377: 1, 398: 1, 440: 473: 1, 482: 1, 545: 5, 566: 608: 1, 632: 1, 650: 1, 668: 1, 692: 1, 713: 722: 1, 776: 4, 818: 1, 860: 881: 902: 1, 986: 1022: Remain k for Sierpinski CK=9: 19: 39: 79: 99: 1, 159: 199: 219: 259: 319: 1, 339: 379: 399: 439: 1, 5, 459: 499: 3, 519: 579: 6, 619: 1, 639: 679: 1, 739: 8, 759: 1, 799: 6, 819: 859: 2, 879: 919: 939: 1, 7, 999: 1, 5, 6, Remain k for Sierpinski CK=10: 32: 4, 65: 98: 1, 296: 362: 1, 428: 8, 560: 593: 1, 4, 8, 626: 1, 758: 8, 857: 890: 956: Remain k for Sierpinski CK=11: Remain k for Sierpinski CK=12: 142: 285: 1, 562: 571: 597: 1, 7, 714: 828: 8, 900: 901: 1000: 10, Remain k for Sierpinski CK=13: 27: 55: 1, 111: 132: 195: 223: 1, 307: 1, 363: 3, 391: 8, 447: 1, 475: 1, 531: 615: 1, 643: 9, 727: 783: 1, 3, 811: 867: 1, 888: 1, 895: 7, 11, 951:
 2020-11-22, 08:52 #1109 sweety439   Nov 2016 22×691 Posts Remain k for Riesel CK=1: Remain k for Riesel CK=2: Remain k for Riesel CK=3: Remain k for Riesel CK=4: 14: 29: 44: 59: 74: 89: 104: 119: 134: 149: 164: 179: 194: 209: 224: 239: 254: 269: 1, 284: 299: 314: 329: 344: 359: 374: 389: 404: 419: 434: 449: 464: 479: 494: 509: 524: 539: 554: 569: 584: 599: 614: 629: 644: 659: 3, 674: 689: 704: 719: 734: 749: 764: 779: 794: 809: 824: 839: 854: 869: 884: 899: 914: 929: 944: 959: 974: 989: 1004: 1019: 2, Remain k for Riesel CK=5: 11: 23: 35: 47: 71: 83: 95: 107: 131: 143: 155: 167: 191: 203: 215: 227: 251: 263: 275: 4, 287: 311: 323: 335: 347: 3, 371: 383: 395: 407: 431: 443: 455: 467: 491: 503: 515: 527: 551: 563: 575: 3, 587: 3, 611: 623: 635: 647: 4, 671: 683: 695: 707: 731: 3, 743: 755: 767: 791: 803: 815: 827: 851: 863: 875: 887: 911: 923: 935: 947: 971: 983: 995: 1007: Remain k for Riesel CK=6: 34: 69: 139: 174: 244: 279: 349: 384: 1, 454: 489: 5, 559: 594: 664: 699: 3, 769: 804: 874: 909: 979: 1014: Remain k for Riesel CK=7: Remain k for Riesel CK=8: 20: 41: 62: 125: 146: 188: 230: 272: 293: 307: 356: 377: 398: 7, 440: 461: 482: 538: 545: 566: 608: 650: 4, 692: 713: 1, 7, 762: 776: 797: 818: 860: 881: 1, 902: 965: 986: 6, 993: Remain k for Riesel CK=9: 19: 39: 79: 99: 109: 159: 189: 199: 219: 229: 259: 309: 319: 339: 379: 399: 429: 5, 439: 459: 469: 499: 5, 519: 549: 6, 579: 589: 619: 6, 639: 669: 679: 709: 739: 759: 1, 789: 799: 819: 829: 859: 879: 919: 939: 949: 999: Remain k for Riesel CK=10: 32: 65: 98: 197: 296: 362: 428: 560: 593: 626: 725: 758: 857: 890: 956: 1, 1022: Remain k for Riesel CK=11: Remain k for Riesel CK=12: 142: 285: 571: 714: 901: 1000: Remain k for Riesel CK=13: 5: 27: 38: 53: 55: 77: 101: 111: 123: 11, 173: 11, 195: 221: 11, 223: 4, 245: 302: 317: 11, 341: 363: 365: 387: 391: 413: 437: 7, 447: 463: 7, 475: 4, 485: 531: 533: 11, 535: 4, 5, 548: 7, 557: 581: 2, 5, 605: 615: 12, 643: 653: 4, 677: 701: 727: 4, 8, 773: 783: 3, 811: 812: 4, 821: 7, 845: 867: 8, 893: 7, 9, 895: 7, 917: 941: 951: 1, 1013:
 2020-11-23, 00:23 #1110 sweety439   Nov 2016 22×691 Posts There are many bases that are proven:
 2020-11-23, 00:25 #1111 sweety439   Nov 2016 22×691 Posts Remain k for Sierpinski CK=1: Remain k for Sierpinski CK=2: Remain k for Sierpinski CK=3: Remain k for Sierpinski CK=4: 14: (proven) 29: (proven) 44: (proven) 59: (proven) 74: (proven) 89: 1, 104: 1, 119: (proven) 134: (proven) 149: 1, 164: (proven) 179: 1, 194: (proven) 209: (proven) 224: (proven) 239: (proven) 254: (proven) 269: 1, 284: (proven) 299: (proven) 314: (proven) 329: (proven) 344: 1, 359: 1, 374: (proven) 389: 1, 404: 1, 419: (proven) 434: (proven) 449: (proven) 464: (proven) 479: (proven) 494: (proven) 509: 1, 524: 1, 539: (proven) 554: (proven) 569: (proven) 584: (proven) 599: (proven) 614: (proven) 629: 1, 644: (proven) 659: 1, 674: (proven) 689: (proven) 704: (proven) 719: (proven) 734: 1, 749: 1, 764: (proven) 779: 3, 794: 1, 809: 1, 824: (proven) 839: (proven) 854: 1, 869: (proven) 884: (proven) 899: 1, 914: 2, 929: (proven) 944: 1, 959: (proven) 974: 1, 989: (proven) 1004: 2, 1019: (proven) Remain k for Sierpinski CK=5: 11: (proven) 23: (proven) 35: (proven) 47: (proven) 71: (proven) 83: 1, 3, 95: (proven) 107: 1, 131: (proven) 143: 1, 155: 1, 4, 167: (proven) 191: 3, 203: (proven) 215: 1, 227: 1, 251: (proven) 263: 1, 275: (proven) 287: 1, 311: 1, 323: 3, 335: 4, 347: 1, 371: 4, 383: 1, 2, 395: 4, 407: 1, 431: (proven) 443: 1, 455: (proven) 467: 1, 4, 491: (proven) 503: (proven) 515: 1, 527: (proven) 551: (proven) 563: 1, 575: (proven) 587: (proven) 611: 1, 4, 623: (proven) 635: 1, 647: 1, 2, 671: 1, 683: 1, 3, 695: (proven) 707: 1, 731: 1, 4, 743: 1, 3, 755: 1, 767: 1, 4, 791: (proven) 803: 4, 815: (proven) 827: 3, 851: 1, 4, 863: (proven) 875: 4, 887: 1, 911: 1, 923: 1, 935: (proven) 947: 1, 2, 971: 4, 983: 1, 995: (proven) 1007: (proven) Remain k for Sierpinski CK=6: 34: (proven) 69: (proven) 139: (proven) 174: 4, 244: 1, 279: (proven) 349: (proven) 384: (proven) 454: 1, 489: 1, 559: (proven) 594: (proven) 664: (proven) 699: (proven) 769: (proven) 804: (proven) 874: (proven) 909: (proven) 979: 3, 1014: 1, Remain k for Sierpinski CK=7: 5: (proven) 53: 4, 77: 1, 101: (proven) 125: (proven) 173: (proven) 197: 1, 221: (proven) 245: (proven) 293: 1, 317: (proven) 341: (proven) 365: 2, 413: 1, 437: 1, 461: 2, 3, 485: (proven) 533: 1, 5, 557: (proven) 581: (proven) 605: (proven) 653: 1, 677: (proven) 701: (proven) 725: (proven) 773: 1, 2, 797: 1, 821: (proven) 845: (proven) 893: 1, 917: 2, 941: 1, 4, 5, 965: (proven) 1013: (proven) Remain k for Sierpinski CK=8: 20: (proven) 41: (proven) 62: 1, 146: (proven) 188: (proven) 230: 4, 242: (proven) 272: (proven) 278: (proven) 356: 1, 4, 377: 1, 398: 1, 440: (proven) 473: 1, 482: 1, 545: 5, 566: (proven) 608: 1, 632: 1, 650: 1, 668: 1, 692: 1, 713: (proven) 722: 1, 776: 4, 818: 1, 860: (proven) 881: (proven) 902: 1, 986: (proven) 1022: (proven) Remain k for Sierpinski CK=9: 19: (proven) 39: (proven) 79: (proven) 99: 1, 159: (proven) 199: (proven) 219: (proven) 259: (proven) 319: 1, 339: (proven) 379: (proven) 399: (proven) 439: 1, 5, 459: (proven) 499: 3, 519: (proven) 579: 6, 619: 1, 639: (proven) 679: 1, 739: 8, 759: 1, 799: 6, 819: (proven) 859: 2, 879: (proven) 919: (proven) 939: 1, 7, 999: 1, 5, 6, Remain k for Sierpinski CK=10: 32: 4, 65: (proven) 98: 1, 296: (proven) 362: 1, 428: 8, 560: (proven) 593: 1, 4, 8, 626: 1, 758: 8, 857: (proven) 890: (proven) 956: (proven) Remain k for Sierpinski CK=11: Remain k for Sierpinski CK=12: 142: (proven) 285: 1, 562: (proven) 571: (proven) 597: 1, 7, 714: (proven) 828: 8, 900: (proven) 901: (proven) 1000: 10, Remain k for Sierpinski CK=13: 27: (proven) 55: 1, 111: (proven) 132: (proven) 195: (proven) 223: 1, 307: 1, 363: 3, 391: 8, 447: 1, 475: 1, 531: (proven) 615: 1, 643: 9, 727: (proven) 783: 1, 3, 811: (proven) 867: 1, 888: 1, 895: 7, 11, 951: (proven)

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