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[QUOTE=sweety439;468540]R112 has totally 37 k's remain:
9, 31, 68, 72, 79, 142, 187, 310, 340, 349, 421, 424, 451, 498, 529, 619, 636, 646, 703, 749, 758, 790, 853, 898, 940, 948, 981, 1008, 1018, 1024, 1051, 1093, 1204, 1254, 1268, 1349, 1353[/QUOTE] [CODE] k n 9 5717 31 68 1710 72 2566 79 142 2153 187 310 340 349 1545 421 424 451 498 6038 529 619 5441 636 1291 646 2706 703 749 2732 758 790 1886 853 1382 898 1067 940 948 981 2858 1008 1018 1024 5681 1051 1093 1495 1204 1254 1887 1268 1349 1345 1353 [/CODE] |
[QUOTE=sweety439;546473] ... [/QUOTE]
896 = 112*8, thus k=896 and k=8 are from the same family. [CODE] k n 8 4526 92 2300 122 2878 183 1253 209 269 428 2473 467 547 553 1833 668 1014 677 5723 813 4616 926 1357 941 943 1924 947 1004 953 6802 983 1398 1013 3501 1131 2768 1171 1712 1217 3872 1286 1775 1292 1346 3609 1412 1445 2419 1463 1470 3096 1499 1517 1573 1297 1581 2043 1604 1613 1664 1696 1712 4836 1780 1791 1820 1807 3619 1920 5333 1937 2082 5308 2189 1433 2237 2908 [/CODE] |
[QUOTE=sweety439;546474] ... [/QUOTE]
1008 = 112*9, thus k=1008 and k=9 are from the same family. [CODE] k n 9 5717 31 68 1710 72 2566 79 142 2153 187 310 340 349 1545 421 424 451 498 6038 529 619 5441 636 1291 646 2706 703 749 2732 758 790 1886 853 1382 898 1067 940 948 981 2858 1018 1024 5681 1051 1093 1495 1204 1254 1887 1268 1349 1345 1353 [/CODE] |
The (probable) prime (621*3^20820+1)/2 = (23*3^20823+1)/2 is not listed in any Sierpinski problem literature because 23 was eliminated by (23*3^3+1)/2, but 621 was still unresolved.
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[QUOTE=sweety439;546475]896 = 112*8, thus k=896 and k=8 are from the same family.
[CODE] k n 8 4526 92 2300 122 2878 183 1253 209 269 428 2473 467 547 553 1833 668 1014 677 5723 813 4616 926 1357 941 943 1924 947 1004 953 6802 983 1398 1013 3501 1131 2768 1171 1712 1217 3872 1286 1775 1292 1346 3609 1412 1445 2419 1463 1470 3096 1499 1517 1573 1297 1581 2043 1604 1613 1664 1696 1712 4836 1780 1791 1820 1807 3619 1920 5333 1937 2082 5308 2189 1433 2237 2908 [/CODE][/QUOTE] Primes given by CRUS: [CODE] k n 547 8124 1780 62794 [/CODE] Also, by CRUS, k=1696 was already tested to n=1M with no prime found. |
[QUOTE=sweety439;546476]1008 = 112*9, thus k=1008 and k=9 are from the same family.
[CODE] k n 9 5717 31 68 1710 72 2566 79 142 2153 187 310 340 349 1545 421 424 451 498 6038 529 619 5441 636 1291 646 2706 703 749 2732 758 790 1886 853 1382 898 1067 940 948 981 2858 1018 1024 5681 1051 1093 1495 1204 1254 1887 1268 1349 1345 1353 [/CODE][/QUOTE] Primes given by CRUS: [CODE] k n 758 35878 948 173968 1268 50536 1353 7751 [/CODE] |
[QUOTE=sweety439;453036]S24 has 27 k's remain at n=1000 with k = 22 mod 23: {1816, 2529, 3679, 4346, 5726, 6899, 7727, 9774, 10326, 10671, 12626, 14006, 14236, 14604, 15409, 18629, 19204, 20676, 20906, 21711, 21849, 22654, 24471, 24701, 25966, 26771, 29071}
R24 has 20 k's remain at n=1000 with k = 1 mod 23: {461, 1841, 2094, 6579, 10926, 12674, 15641, 16124, 17251, 23691, 24151, 24404, 24611, 25646, 26681, 27049, 27670, 29211, 31626, 31994} (k=11064 is included in the conjecture but excluded from testing, since it will have the same prime as k=461)[/QUOTE] S24: [CODE] k n 1816 2529 3679 3813 4346 5726 1118 6899 1023 7727 2596 9774 4379 10326 10671 10732 12626 14006 14236 6422 14604 15409 2003 18629 1463 19204 1031 20676 20906 1028 21711 1544 21849 22654 1319 24471 3550 24701 1272 25966 26771 7860 29071 5548 [/CODE] R24: [CODE] k n 461 1841 10093 2094 6579 10926 2551 12674 15641 16124 17251 1227 23691 1345 24151 1425 24404 24611 11083 25646 26681 1513 27049 27670 1972 29211 31626 4043 31994 [/CODE] |
1 Attachment(s)
[QUOTE=sweety439;546481]S24:
[CODE] x y 1816 2529 3679 3813 4346 5726 1118 6899 1023 7727 2596 9774 4379 10326 10671 10732 12626 14006 14236 6422 14604 15409 2003 18629 1463 19204 1031 20676 20906 1028 21711 1544 21849 22654 1319 24471 3550 24701 1272 25966 26771 7860 29071 5548 [/CODE] R24: [CODE] x y 461 1841 10093 2094 6579 10926 2551 12674 15641 16124 17251 1227 23691 1345 24151 1425 24404 24611 11083 25646 26681 1513 27049 27670 1972 29211 31626 4043 31994 [/CODE][/QUOTE] Update text file. |
[QUOTE=sweety439;546481] ... [/QUOTE]
This should be "k n" instead of "x y" S24: [CODE] k n 1816 2529 3679 3813 4346 5726 1118 6899 1023 7727 2596 9774 4379 10326 10671 10732 12626 14006 14236 6422 14604 15409 2003 18629 1463 19204 1031 20676 20906 1028 21711 1544 21849 22654 1319 24471 3550 24701 1272 25966 26771 7860 29071 5548 [/CODE] R24: [CODE] k n 461 1841 10093 2094 6579 10926 2551 12674 15641 16124 17251 1227 23691 1345 24151 1425 24404 24611 11083 25646 26681 1513 27049 27670 1972 29211 31626 4043 31994 [/CODE] |
[QUOTE=sweety439;546476]1008 = 112*9, thus k=1008 and k=9 are from the same family.
[CODE] k n 9 5717 31 68 1710 72 2566 79 142 2153 187 310 340 349 1545 421 424 451 498 6038 529 619 5441 636 1291 646 2706 703 749 2732 758 790 1886 853 1382 898 1067 940 948 981 2858 1018 1024 5681 1051 1093 1495 1204 1254 1887 1268 1349 1345 1353 [/CODE][/QUOTE] (187*112^7524-1)/gcd(187-1,112-1) is (probable) prime |
S24 at n=11324
R24 at n=12402 S112 at n=6947 R112 at n=7546 |
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