 mersenneforum.org A Sierpinski/Riesel-like problem
 Register FAQ Search Today's Posts Mark Forums Read  2017-01-12, 18:44 #89 sweety439   Nov 2016 216410 Posts Extended Sierpinski: base conjectured k 2 78557 cover: {3, 5, 7, 13, 19, 37, 73} period=36 3 11047 cover: {2, 5, 7, 13, 73} period=12 4 419 cover: {3, 5, 7, 13} period=6 5 7 cover: {2, 3} period=2 6 174308 cover: {7, 13, 31, 37, 97} period=12 7 209 cover: {2, 3, 5, 13, 43} period=12 8 47 cover: {3, 5, 13} period=4 9 31 cover: {2, 5} period=2 10 989 cover: {3, 7, 11, 13} period=6 11 5 cover: {2, 3} period=2 12 521 cover: {5, 13, 29} period=4 13 15 cover: {2, 7} period=2 14 4 cover: {3, 5} period=2 15 673029 cover: {2, 17, 113, 1489} period=8 16 38 cover: {3, 7, 13} period=3 17 31 cover: {2, 3} period=2 18 398 cover: {5, 13, 19} period=4 19 9 cover: {2, 5} period=2 20 8 cover: {3, 7} period=2 21 23 cover: {2, 11} period=2 22 2253 cover: {5, 23, 97} period=4 23 5 cover: {2, 3} period=2 24 30651 cover: {5, 7, 13, 73, 79} period=12 25 79 cover: {2, 13} period=2 26 221 cover: {3, 7, 19, 37} period=6 27 13 cover: {2, 7} period=2 28 4554 cover: {5, 29, 157} period=4 29 4 cover: {3, 5} period=2 30 867 cover: {7, 13, 19, 31} period=6 31 239 cover: {2, 3, 7, 19} period=6 32 10 cover: {3, 11} period=2 33 511 cover: {2, 17} period=2 34 6 cover: {5, 7} period=2 35 5 cover: {2, 3} period=2 36 1886 cover: {13, 31, 37, 43} period=6 37 39 cover: {2, 19} period=2 38 14 cover: {3, 13} period=2 39 9 cover: {2, 5} period=2 40 47723 cover: {3, 7, 41, 223} period=6 41 8 cover: {3, 7} period=2 42 13372 cover: {5, 43, 353} period=4 43 21 cover: {2, 11} period=2 44 4 cover: {3, 5} period=2 45 47 cover: {2, 23} period=2 46 881 cover: {3, 7, 103} period=3 47 5 cover: {2, 3} period=2 48 1219 cover: {7, 13, 61, 181} period=6 49 31 cover: {2, 5} period=2 50 16 cover: {3, 17} period=2 51 25 cover: {2, 13} period=2 52 28674 cover: {5, 53, 541} period=4 53 7 cover: {2, 3} period=2 54 21 cover: {5, 11} period=2 55 13 cover: {2, 7} period=2 56 20 cover: {3, 19} period=2 57 47 cover: {2, 5, 13} period=4 58 488 cover: {3, 7, 163} period=3 59 4 cover: {3, 5} period=2 60 16957 cover: {13, 61, 277} period=4 61 63 cover: {2, 31} period=2 62 8 cover: {3, 7} period=2 63 1589 cover: {2, 5, 397} period=4 64 14 cover: {5, 13} period=2 Extended Riesel: base conjectured k 2 509203 cover: {3, 5, 7, 13, 17, 241} period=24 3 12119 cover: {2, 5, 7, 13, 73} period=12 4 361 cover: {3, 5, 7, 13} period=6 5 13 cover: {2, 3} period=2 6 84687 cover: {7, 13, 31, 37, 97} period=12 7 457 cover: {2, 3, 5, 13, 19} period=12 8 14 cover: {3, 5, 13} period=4 9 41 cover: {2, 5} period=2 10 334 cover: {3, 7, 13, 37} period=6 11 5 cover: {2, 3} period=2 12 376 cover: {5, 13, 29}, period=4 13 29 cover: {2, 7} period=2 14 4 cover: {3, 5} period=2 15 622403 cover: {2, 17, 113, 1489} period=8 16 100 cover: {3, 7, 13} period=3 17 49 cover: {2, 3} period=2 18 246 cover: {5, 13, 19} period=4 19 9 cover: {2, 5} period=2 20 8 cover: {3, 7} period=2 21 45 cover: {2, 11} period=2 22 2738 cover: {5, 23, 97} period=4 23 5 cover: {2, 3} period=2 24 32336 cover: {5, 7, 13, 73, 577} period=12 25 105 cover: {2, 13} period=2 26 149 cover: {3, 7, 31, 37} period=6 27 13 cover: {2, 7} period=2 28 3769 cover: {5, 29, 157} period=4 29 4 cover: {3, 5} period=2 30 4928 cover: {13, 19, 31, 67} period=6 31 145 cover: {2, 3, 7, 19} period=6 32 10 cover: {3, 11} period=2 33 545 cover: {2, 17} period=2 34 6 cover: {5, 7} period=2 35 5 cover: {2, 3} period=2 36 33791 cover: {13, 31, 43, 97} period=6 37 29 cover: {2, 5, 7, 13, 67} period=12 38 13 cover: {3, 5, 17} period=4 39 9 cover: {2, 5} period=2 40 25462 cover: {3, 7, 41, 223} period=6 41 8 cover: {3, 7} period=2 42 15137 cover: {5, 43, 353} period=4 43 21 cover: {2, 11} period=2 44 4 cover: {3, 5} period=2 45 93 cover: {2, 23} period=2 46 928 cover: {3, 7, 103} period=3 47 5 cover: {2, 3} period=2 48 3226 cover: {5, 7, 461} period=4 49 81 cover: {2, 5} period=2 50 16 cover: {3, 17} period=2 51 25 cover: {2, 13} period=2 52 25015 cover: {3, 7, 53, 379} period=6 53 13 cover: {2, 3} period=2 54 21 cover: {5, 11} period=2 55 13 cover: {2, 7} period=2 56 20 cover: {3, 19} period=2 57 144 cover: {5, 13, 29} period=4 58 547 cover: {3, 7, 163} period=3 59 4 cover: {3, 5} period=2 60 20558 cover: {13, 61, 277} period=4 61 125 cover: {2, 31} period=2 62 8 cover: {3, 7} period=2 63 857 cover: {2, 5, 397} period=4 64 14 cover: {5, 13} period=2 Last fiddled with by sweety439 on 2017-04-07 at 13:34   2017-01-13, 16:02 #90 sweety439   Nov 2016 22×541 Posts S25, k=71 is likely tested to n=10000, no (probable) prime was found, base released. Reserve R26, k=121.   2017-01-13, 16:13   #91
sweety439

Nov 2016

22·541 Posts S2: conjectured k=78557, 6 k's remain (21181, 22699, 24737, 55459, 65536, 67607)
S3: conjectured k=11047, not completely started.
S4: conjectured k=419, proven.
S5: conjectured k=7, proven.
S6: conjectured k=174308, not completely started.
S7: conjectured k=209, proven.
S8: conjectured k=47, proven.
S9: conjectured k=31, proven.
S10: conjectured k=989, 2 k's remain (100 and 269).
S11: conjectured k=5, proven.
S12: conjectured k=521, only k=12 remain.
S13: conjectured k=15, proven.
S14: conjectured k=4, proven.
S15: conjectured k=673029, not completely started.
S16: conjectured k=38, proven.
S17: conjectured k=31, proven.
S18: conjectured k=398, only k=18 remain.
S19: conjectured k=9, proven.
S20: conjectured k=8, proven.
S21: conjectured k=23, proven.
S22: conjectured k=2253, not completely started.
S23: conjectured k=5, proven.
S24: conjectured k=30651, not completely started.
S25: conjectured k=79, only k=71 remain.
S26: conjectured k=221, 2 k's remain (65 and 155).
S27: conjectured k=13, proven.
S28: conjectured k=4554, not completely started.
S29: conjectured k=4, proven.
S30: conjectured k=867, 2 k's remain (278 and 588).
S31: conjectured k=239, 13 k's remain (1, 5, 43, 51, 73, 77, 107, 117, 149, 181, 189, 191, 209).
S32: conjectured k=10, only k=4 remain.

R2: conjectured k=509203, 52 k's remain (2293, 9221, 23669, 31859, 38473, 46663, 67117, 74699, 81041, 93839, 97139, 107347, 121889, 129007, 143047, 146561, 161669, 192971, 206039, 206231, 215443, 226153, 234343, 245561, 250027, 273809, 315929, 319511, 324011, 325123, 327671, 336839, 342847, 344759, 351134, 362609, 363343, 364903, 365159, 368411, 371893, 384539, 386801, 397027, 409753, 444637, 470173, 474491, 477583, 478214, 485557, 494743)
R3: conjectured k=12119, 15 k's remain (1613, 1831, 1937, 3131, 3589, 5755, 6787, 7477, 7627, 7939, 8713, 8777, 9811, 10651, 11597)
R4: conjectured k=361, proven.
R5: conjectured k=13, proven.
R6: conjectured k=84687, 12 k's remain (1597, 6236, 9491, 37031, 49771, 50686, 53941, 55061, 57926, 76761, 79801, 83411)
R7: conjectured k=457, only k=197 remain.
R8: conjectured k=14, proven.
R9: conjectured k=41, proven.
R10: conjectured k=334, proven.
R11: conjectured k=5, proven.
R12: conjectured k=376, proven.
R13: conjectured k=29, proven.
R14: conjectured k=4, proven.
R15: conjectured k=622403, not completely started.
R16: conjectured k=100, proven.
R17: conjectured k=49, proven.
R18: conjectured k=246, proven.
R19: conjectured k=9, proven.
R20: conjectured k=8, proven.
R21: conjectured k=45, proven.
R22: conjectured k=2738, not completely started.
R23: conjectured k=5, proven.
R24: conjectured k=32336, not completely started.
R25: conjectured k=105, proven.
R26: conjectured k=149, only k=121 remain.
R27: conjectured k=13, proven.
R28: conjectured k=3769, not completely started.
R29: conjectured k=4, proven.
R30: conjectured k=4928, not completely started.
R31: conjectured k=145, 9 k's remain (5, 19, 49, 51, 73, 97, 113, 123, 124).
R32: conjectured k=10, proven.
Attached Files Conjectured smallest strong Sierpinski Riesel number to base b (only consider the k's with cover.txt (4.2 KB, 33 views)

Last fiddled with by sweety439 on 2017-01-13 at 17:52   2017-01-13, 16:15 #92 sweety439   Nov 2016 22·541 Posts Found the probable prime (121*26^1509-1)/5. Extended R26 is proven!!!   2017-01-13, 16:23   #93
sweety439

Nov 2016

87416 Posts For R30, all k's not = 1 mod 29 are in CRUS. Thus, we only need to reserve the k's = 1 mod 29.

There is only one such k < 4928 remain: 1654.

Compare with CRUS, there are 10 k's remain for extended R30:

659, 1024, 1580, 1654, 1936, 2293, 2916, 3719, 4372, 4897.
Attached Files extend-Riesel-base30 (k%29=1).txt (1.3 KB, 115 views)   2017-01-13, 17:40   #94
sweety439

Nov 2016

22·541 Posts S3 done for k<=5000. (tested up to n=3000, this text file lists 0 if there is no prime for n<=3000)

For k<=500, there is already a text file. Thus, this text file is only for 501<=k<=5000.

Reserve S3, 5001<=k<11047. (the conjectured k for extended S3 is 11047)
Attached Files extend S3 k=501 to 5000.txt (35.5 KB, 46 views)

Last fiddled with by sweety439 on 2017-01-13 at 19:23   2017-01-13, 19:08   #95
sweety439

Nov 2016

22·541 Posts S3 is now completely done for all k<11047, tested up to n=3000, these text files list 0 if there is no prime for n<=3000.

These are the text files for 5001<=k<11047.

Reserve R7 k=197 to 20K and S10 k=269 to 12K, use factordb.
Attached Files extend S3 k=5001 to 10000.txt (40.2 KB, 78 views) extend S3 k=10001 ro 11046.txt (9.4 KB, 106 views)

Last fiddled with by sweety439 on 2017-01-13 at 19:28   2017-01-13, 19:17   #96
sweety439

Nov 2016

22×541 Posts The complete text file for extended S3, if you need it.

Added the n's for k=1107, 3321 and 9963, which have the same prime as k=41: (41*3^4892+1)/2.

Extended S3 has 55 k's remain at n=3000. (including the k's without testing, e.g. 2463 (=821*3))

{621, 821, 823, 935, 1187, 1801, 1863, 2463, 2469, 2747, 2805, 2909, 3007, 3047, 3061, 3307, 3561, 4495, 5147, 5321, 5403, 5589, 5743, 5893, 6041, 6427, 6569, 6575, 6967, 7297, 7389, 7407, 7927, 8161, 8227, 8241, 8389, 8415, 8467, 8609, 8727, 8863, 8987, 9021, 9061, 9141, 9183, 9263, 9449, 9721, 9921, 10207, 10243, 10683, 10741}
Attached Files extended S3.txt (88.5 KB, 229 views)

Last fiddled with by sweety439 on 2017-02-07 at 13:50   2017-01-14, 17:29 #97 sweety439   Nov 2016 216410 Posts Reserve S28 (only need to test k's = 2 (mod 3), other k's are already in CRUS) and R28 (only need to test k's = 1 (mod 3), other k's are already in CRUS). Both reserve to n=1000. Last fiddled with by sweety439 on 2017-02-16 at 16:01   2017-01-14, 17:48 #98 sweety439   Nov 2016 22·541 Posts R7 k=197 tested to n=20K, nothing found, reserve to 25K. S10 k=269 tested to n=12K, nothing found, reserve to 20K.   2017-01-15, 19:07   #99
sweety439

Nov 2016

22×541 Posts Extended SR28 were done to n=1000. Only tested the k's not already in CRUS.

Reserve extended SR22, since in extended SR22, all numbers = 2 (or 1) mod 3 and all numbers = 6 (or 1) mod 7 are both not in CRUS, these bases are more difficult to exclude the k's. Thus, the text files for SR22 will list all k's.
Attached Files extend S28 (n%3=2).txt (11.7 KB, 97 views) extend R28 (n%3=1).txt (9.6 KB, 94 views)

Last fiddled with by sweety439 on 2017-02-16 at 16:01   Thread Tools Show Printable Version Email this Page Similar Threads Thread Thread Starter Forum Replies Last Post sweety439 sweety439 20 2020-07-03 17:22 sweety439 sweety439 10 2018-12-14 21:59 sweety439 sweety439 12 2017-12-01 21:56 robert44444uk Conjectures 'R Us 139 2007-12-17 05:17 rogue Conjectures 'R Us 11 2007-12-17 05:08

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