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.

[QUOTE=sweety439;563917]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.[/QUOTE]

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

[QUOTE=sweety439;563918]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.[/QUOTE]

there are no Sierpinski bases with CK=6 with >= 2 k's remain

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:

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,

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,

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,

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:

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:

There are many bases that are proven:

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)