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Old 2020-11-21, 05:03   #1101
sweety439
 
Nov 2016

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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.
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Old 2020-11-21, 05:08   #1102
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Quote:
Originally Posted by sweety439 View Post
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
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Old 2020-11-21, 05:08   #1103
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Quote:
Originally Posted by sweety439 View Post
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
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Old 2020-11-22, 08:26   #1104
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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:
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Old 2020-11-22, 08:33   #1105
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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,
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Old 2020-11-22, 08:38   #1106
sweety439
 
Nov 2016

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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,
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Old 2020-11-22, 08:39   #1107
sweety439
 
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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,
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Old 2020-11-22, 08:51   #1108
sweety439
 
Nov 2016

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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:
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Old 2020-11-22, 08:52   #1109
sweety439
 
Nov 2016

22×691 Posts
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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:
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Old 2020-11-23, 00:23   #1110
sweety439
 
Nov 2016

276410 Posts
Default

There are many bases that are proven:
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Old 2020-11-23, 00:25   #1111
sweety439
 
Nov 2016

22×691 Posts
Default

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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