20210622, 06:35  #1244 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}·3·7·37 Posts 
S40 completed to n=5000
Code:
344,1436 1098,1910 1169,0 1229,0 1415,0 1600,0 2012,1299 2215,0 2294,0 2338,0 2543,0 2768,2091 2789,0 2951,0 2957,0 3050,0 3281,0 3656,1178 3689,0 3812,0 3935,0 4127,1389 4224,0 4388,0 4468,0 4514,1372 4565,0 4586,1705 4675,0 4742,0 4757,2106 4820,0 4835,2004 4883,1986 4943,3035 5003,0 5042,0 5126,0 5165,1199 5372,0 5414,4413 5477,4683 5698,1051 5700,1010 5944,0 6014,1280 6095,2334 6376,3987 6413,1320 6563,1748 6689,0 7051,0 7076,2087 7092,0 7172,1169 7299,4564 7319,1515 7404,1542 7552,1941 7586,0 7707,1647 7934,0 8117,1721 8165,3795 8255,0 8273,2289 8283,0 8324,2122 8362,0 8363,0 8552,2409 8624,4892 8792,0 8978,0 8980,1064 9090,0 9101,0 9221,0 9224,0 9238,2171 9731,0 9935,1396 9964,0 10112,1576 10187,0 10261,1111 10639,1283 10652,3802 10661,0 10690,4555 10741,1397 10762,0 10988,1001 11112,0 11192,1681 11195,0 11293,1843 11306,2078 11356,1203 11358,1032 11438,0 11522,2546 11635,1494 11645,0 11684,0 11750,3654 12164,2073 12422,0 12668,0 12791,1755 12955,0 12994,1418 13025,0 13094,2176 13193,0 13283,0 13324,1129 13406,0 13445,0 13904,1075 13970,0 14103,1193 14465,2621 14510,4148 14555,4988 14679,3720 14730,1659 14759,3493 14816,2744 14909,3403 15104,0 15130,3212 15263,0 15284,0 15292,1289 15374,0 15417,4860 15579,0 15581,0 15702,1271 15803,4136 15989,0 16235,0 16319,0 16445,0 16481,0 16768,0 16850,0 17303,4570 17465,0 17477,0 17957,0 18083,2097 18146,0 18164,0 18285,0 18365,0 18386,4526 18398,1293 18410,1518 18491,1194 18572,0 18613,1321 18692,0 18695,0 18779,1068 18818,0 18859,1231 19037,1376 19073,1035 19187,2375 19202,0 19213,0 19280,0 19394,0 19570,1066 19640,1266 19884,0 20051,2689 20124,0 20198,0 20213,1474 20214,4342 20267,0 20318,0 20376,3777 20402,4907 20540,4317 20870,0 20894,0 20951,0 20963,0 21026,4919 21032,0 21176,2789 21196,0 21207,1455 21407,0 21895,0 22016,1121 22057,4113 22136,2257 22327,1931 22426,2095 22467,2807 22671,0 22945,1867 22961,0 23042,1209 23123,0 23189,1162 23201,0 23246,3527 23342,3561 23371,0 23479,1157 23492,1337 23582,3339 23621,1098 23741,0 23799,1196 23816,1041 23984,0 24085,1793 24167,4578 24221,0 24437,0 24476,0 24519,1228 24594,0 24599,2177 25337,2811 25501,4717 25624,1251 25667,0 25799,1198 26006,2509 26036,2168 26075,2525 26198,0 26241,2394 26255,4169 26387,0 26731,2793 26815,0 26855,0 26921,1064 26947,1300 26987,1177 26990,3305 27102,1120 27182,0 27389,0 27430,0 27464,2604 27614,1601 27653,1003 27948,4710 28332,0 28382,3063 28496,0 28535,2019 28552,1472 28578,0 28619,0 28778,4297 29045,0 29108,0 29150,0 29291,0 29342,2171 29603,0 29642,0 29849,1110 29972,2694 30227,1294 30236,0 30269,0 30344,2233 30503,0 30505,0 30546,1164 30608,4547 30647,2213 30751,0 31079,0 31088,0 31220,0 31226,0 31418,1186 31489,0 31538,0 31733,2635 31770,0 31928,0 31952,1442 32078,3111 32206,1601 32375,1103 32512,0 32555,0 32637,0 32660,1150 32678,0 32717,0 32756,1011 33065,0 33158,4652 33170,2184 33211,0 33344,0 33482,1944 33581,3896 33662,0 33764,0 33785,0 33827,2124 33913,2197 33929,0 33959,2148 34029,0 34175,1436 34505,1424 34646,0 34709,0 34748,1418 34808,0 35188,1529 35333,0 35375,0 35382,0 35384,0 35390,2490 35417,0 35429,1290 35507,0 35519,1072 35546,0 35552,0 35612,1718 35669,2499 35822,0 35828,0 35835,4042 35837,0 35894,0 35999,0 36011,2354 36101,0 36163,1512 36170,1721 36185,0 36243,1049 36368,0 36436,1697 36655,3830 36668,1016 36808,3451 36824,0 37205,3478 37229,0 37268,0 37358,1460 37391,3963 37514,1943 37577,0 37703,0 38023,1751 38047,3069 38084,1900 38252,3411 38306,2202 38324,0 38334,1321 38378,3479 38664,3404 38763,4101 38825,3203 38828,0 38900,1584 38951,0 38980,1061 39014,2519 39115,0 39119,4945 39180,1003 39230,0 39525,4904 39722,0 39743,1859 39853,1232 40438,1549 40517,1283 40667,0 40878,4566 40940,3536 41165,1564 41411,0 41444,3640 41450,0 41479,0 41695,1032 41696,0 41750,1348 41798,3636 41819,0 41999,2263 42106,0 42230,2079 42473,1161 42899,3075 43019,2288 43058,1925 43174,0 43295,0 43334,1619 43499,1640 43727,1275 43787,0 43830,0 43892,0 43994,0 44238,0 44279,0 44447,1308 44546,0 44617,3664 44665,1180 44732,0 44759,1637 44894,0 44969,1072 45222,3393 45272,1248 45676,1596 46337,1815 46370,0 46698,0 46709,0 46862,3107 46925,0 46987,1266 47155,4464 47272,0 47276,0 47429,1618 47559,0 47561,2130 47582,3263 47684,0 47693,2330 
20210627, 12:47  #1245 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}·3·7·37 Posts 
Riesel problems and Sierpinski problems files updated.
Last fiddled with by sweety439 on 20210730 at 06:36 
20210903, 23:23  #1246 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}×3×7×37 Posts 
Status files:
Sierpinski problems in bases b<=128 and b = 256, 512, 1024 Riesel problems in bases b<=128 and b = 256, 512, 1024 Sierpinski problems bases b<=160 and b = 256, 512, 1024 Riesel problems bases b<=200 and b = 256, 512, 1024 1st to 4th Riesel problems in selected bases b<=64 and b = 128, 256, 512, 1024 
20210903, 23:28  #1247 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}×3×7×37 Posts 

20210903, 23:36  #1248 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}×3×7×37 Posts 
Word files attached.

20210923, 07:58  #1249 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}×3×7×37 Posts 
The CK for bases b<=2500 and b=2^r with r<=16: Riesel Sierpinski
search limit: 10^9 for bases b<=1024, 5*10^6 for bases b>1024 (except R1216, the CK was searched and found since the CK for S1216 is < 5*10^6) Note: I only searched with the primes <= 50000 (i.e. only remove (k*b^n+1)/gcd(k+1,b1) with a prime factor <= 50000), and only searched (k*b^n+1)/gcd(k+1,b1) for 1<=n<=3000 see posts in pages 92 and 93 and 94 for more information (when the CK > 5*10^6 for bases b<=1024 were being searched) Last fiddled with by sweety439 on 20211021 at 09:46 
20210923, 08:02  #1250 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}·3·7·37 Posts 
Formulas:
CRUS Riesel problems: k*b^n1 Riesel problems in this project: (k*b^n1)/gcd(k1,b1) CRUS Sierpinski problems: k*b^n+1 Sierpinski problems in this project: (k*b^n+1)/gcd(k+1,b1) 
20211001, 12:53  #1251  
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
C24_{16} Posts 
Quote:
R72: 4*72^11198491, 4 is perfect power (2^2) R121: 2622*121^8109601, 121 is perfect power (11^2) R100: 653*100^7175131, 100 is perfect power (10^2) R650: 4*650^4981011, 4 is perfect power (2^2) R425: 64*425^4678571, 64 is perfect power (2^6) S470: 32*470^683151+1, 32 is perfect power (2^5) S676: 607*676^544517+1, 676 is perfect power (26^2) S406: 100*406^543228+1, 100 is perfect power (10^2) S797: 4*797^468702+1, 4 is perfect power (2^2) is there any justification? (I know that, perfect power  1, or perfect odd power + 1, or 4m^4+1, have algebraic factorization, maybe this is the reason ....) MODERATOR NOTE: Post moved from "Bases 251500 reservations/statuses/primes" thread as offtopic. Last fiddled with by Dr Sardonicus on 20211001 at 14:52 

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