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 2021-06-15, 22:03 #1233 sweety439   "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 5×7×83 Posts Riesel base 198 Code: 1,2 198,1 395,1 592,2 789,143 986,1 1183,4 1380,2 1577,75 1774,1 1971,2 2168,1 2365,1 2562,14 2759,43 2956,1 3153,1 3350,2 3547,2 With CK=3662 Only list k == 1 mod 197 since other k are already in CRUS no remain k with k == 1 mod 197, totally list of the remain k is {81, 172, 424, 464, 484, 529, 991, 1037, 1054, 1262, 1283, 1792, 1856, 1920, 2253, 2272, 2304, 2445, 2577, 2787, 2811, 2934, 3103, 3207, 3305, 3329, 3342, 3602, 3649}, all remain at n=100K, see CRUS
 2021-06-15, 22:04 #1234 sweety439   "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 5·7·83 Posts Riesel base 199 Code: 1,577 2,1 3,24 4,(partial algebra factors) 5,3 6,1 7,104 8,5 With CK=9 All k where k = m^2 and m = = 2 or 3 mod 5: for even n let k = m^2 and let n = 2*q; factors to: (m*199^q - 1) * (m*199^q + 1) odd n: factor of 5 This includes k = 4 Conjecture proven
 2021-06-15, 22:10 #1235 sweety439   "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 55318 Posts Riesel base 200 Code: 1,17807 2,2 3,1 4,7 5,2 6,2 7,1 8,16 9,3 10,1 11,16 12,1 13,12053 14,54 15,1 16,89 17,2 18,34 19,29809 20,2 21,2 22,5 23,31566 24,1 25,1 26,2 27,1 28,9 29,4 30,2 31,1 32,16 33,1 34,27 35,2 36,83 37,597 38,131900 39,3 40,15 41,2 42,3 43,1 44,12 45,1 46,1 47,18 48,4 49,5 50,4 51,44252 52,1 53,45666 54,1 55,3 56,14 57,1 58,102363 59,4 60,7 61,5 62,126 63,6 64,1 65,2 66,2 67,1 With CK=68 k=1 prime given by generalized repunit prime search other primes with n>10000 given by CRUS Conjecture proven Last fiddled with by sweety439 on 2021-06-15 at 22:10
 2021-06-15, 23:30 #1236 sweety439   "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 5×7×83 Posts https://docs.google.com/document/d/e...BtKeLncFwD/pub I am now also building the table of the first 4 Riesel/Sierpinski conjectures, will done to bases <=64 (except bases which have larger conjectures, such as SR3, SR6, SR15), this is the word file for the Riesel side (now done to base 32) Last fiddled with by sweety439 on 2021-06-15 at 23:31
2021-06-16, 22:30   #1237
sweety439

"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

1011010110012 Posts

Quote:
 Originally Posted by sweety439 R12 currently at n=21760, no other primes found.
1132*12^28717-1 is prime!!!

The 4th conjecture of R12 is proven!!!

(this prime is my largest proven prime, i.e. PRPs are not counted)

Last fiddled with by sweety439 on 2021-06-16 at 22:31

 2021-06-16, 22:56 #1238 sweety439   "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 55318 Posts R165, the last k, no (probable) prime found, likely at n>=12K
2021-06-17, 21:06   #1239
sweety439

"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

1011010110012 Posts

R106 searched to n=2000

Status file attached.
Attached Files
 R106.txt (112.4 KB, 12 views)

 2021-06-17, 22:15 #1240 sweety439   "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 5·7·83 Posts Update status for S40: Code: k n 344 1436 1098 1910 1169 1229 1415 1600 2012 1299 2215 2294 2338 2543 2768 2091 2789 2951 2957 3050 3281 3656 1178 3689 3812 3935 4127 1389 4224 4388 4468 4514 1372 4565 4586 1705 4675 4742 4757 2106 4820 4835 2004 4883 1986 4943 5003 5042 5126 5165 1199 5372 5414 5477 5698 1051 5700 1010 5944 6014 1280 6095 6376 6413 1320 6563 1748 6689 7051 7076 2087 7092 7172 1169 7299 7319 1515 7404 1542 7552 1941 7586 7707 1647 7934 8117 1721 8165 8255 8273 8283 8324 2122 8362 8363 8552 8624 8792 8978 8980 1064 9090 9101 9221 9224 9238 9731 9935 1396 9964 10112 1576 10187 10261 1111 10639 1283 10652 10661 10690 10741 1397 10762 10988 1001 11112 11192 1681 11195 11293 1843 11306 2078 11356 1203 11358 1032 11438 11522 11635 1494 11645 11684 11750 12164 2073 12422 12668 12791 1755 12955 12994 1418 13025 13094 13193 13283 13324 1129 13406 13445 13904 1075 13970 14103 1193 14465 14510 14555 14679 14730 1659 14759 14816 14909 15104 15130 15263 15284 15292 1289 15374 15417 15579 15581 15702 1271 15803 15989 16235 16319 16445 16481 16768 16850 17303 17465 17477 17957 18083 2097 18146 18164 18285 18365 18386 18398 1293 18410 1518 18491 1194 18572 18613 1321 18692 18695 18779 1068 18818 18859 1231 19037 1376 19073 1035 19187 19202 19213 19280 19394 19570 1066 19640 1266 19884 20051 20124 20198 20213 1474 20214 20267 20318 20376 20402 20540 20870 20894 20951 20963 21026 21032 21176 21196 21207 1455 21407 21895 22016 1121 22057 22136 22327 1931 22426 2095 22467 22671 22945 1867 22961 23042 1209 23123 23189 1162 23201 23246 23342 23371 23479 1157 23492 1337 23582 23621 1098 23741 23799 1196 23816 1041 23984 24085 1793 24167 24221 24437 24476 24519 1228 24594 24599 25337 25501 25624 1251 25667 25799 1198 26006 26036 26075 26198 26241 26255 26387 26731 26815 26855 26921 1064 26947 1300 26987 1177 26990 27102 1120 27182 27389 27430 27464 27614 1601 27653 1003 27948 28332 28382 28496 28535 2019 28552 1472 28578 28619 28778 29045 29108 29150 29291 29342 29603 29642 29849 1110 29972 30227 1294 30236 30269 30344 30503 30505 30546 1164 30608 30647 30751 31079 31088 31220 31226 31418 1186 31489 31538 31733 31770 31928 31952 1442 32078 32206 1601 32375 1103 32512 32555 32637 32660 1150 32678 32717 32756 1011 33065 33158 33170 33211 33344 33482 1944 33581 33662 33764 33785 33827 33913 33929 33959 34029 34175 1436 34505 1424 34646 34709 34748 1418 34808 35188 1529 35333 35375 35382 35384 35390 35417 35429 1290 35507 35519 1072 35546 35552 35612 1718 35669 35822 35828 35835 35837 35894 35999 36011 36101 36163 1512 36170 1721 36185 36243 1049 36368 36436 1697 36655 36668 1016 36808 36824 37205 37229 37268 37358 1460 37391 37514 1943 37577 37703 38023 1751 38047 38084 1900 38252 38306 38324 38334 1321 38378 38664 38763 38825 38828 38900 1584 38951 38980 1061 39014 39115 39119 39180 1003 39230 39525 39722 39743 1859 39853 1232 40438 1549 40517 1283 40667 40878 40940 41165 1564 41411 41444 41450 41479 41695 1032 41696 41750 1348 41798 41819 41999 42106 42230 2079 42473 1161 42899 43019 43058 1925 43174 43295 43334 1619 43499 1640 43727 1275 43787 43830 43892 43994 44238 44279 44447 1308 44546 44617 44665 1180 44732 44759 1637 44894 44969 1072 45222 45272 1248 45676 1596 46337 1815 46370 46698 46709 46862 46925 46987 1266 47155 47272 47276 47429 1618 47559 47561 47582 47684 47693
 2021-06-17, 22:15 #1241 sweety439   "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 5·7·83 Posts Update status for R40: Code: k n 157 490 2238 520 1329 534 618 709 739 787 862 955 1958 1067 1114 1174 1242 2067 1352 1544 1559 1762 1795 1750 1805 2254 2290 1132 2830 2703 2887 3033 1336 3034 1085 3156 1834 3342 1097 3361 2596 3418 3650 3750 1612 3830 3859 1487 3922 1518 4006 4132 1091 4183 1065 4219 1017 4297 2662 4582 4673 4724 1466 4771 5218 1020 5233 1032 5308 1259 5431 1756 5629 1113 6107 6192 1133 6220 1207 6436 1562 6463 6582 1541 6618 1054 6682 6684 6709 6946 7089 1303 7094 7126 1158 7258 7282 7381 7504 7602 1027 7678 1027 7702 7795 8032 2104 8035 8173 1484 8461 8572 8899 1091 8959 1212 9121 1374 9226 9347 9424 1757 9472 9511 1670 9716 9748 9874 2318 9964 10003 2052 10060 2445 10285 10615 10744 11030 11470 11479 11560 11847 11971 12178 12193 12226 12250 12256 1356 12299 12301 12422 1692 12505 1818 12544 1377 12547 1337 12568 12709 1022 12742 12750 1082 12873 1174 13005 13022 13039 13165 13191 13212 2252 13624 13666 13777 13894 1097 13939 14146 14262 14272 1109 14362 1472 14494 14513 1696 14636 2486 14766 1371 14802 14980 15046 1236 15154 1736 15271 2448 15374 15376 1297 15388 1113 15417 15496 15579 1028 15661 15730 15907 2254 15967 1657 16108 1293 16235 1716 16579 16705 16728 16891 16897 1342 16932 17014 17137 1828 17275 17287 1599 17344 17536 17653 1165 17707 1092 17801 1590 17860 1120 17896 2581 17923 17998 18114 2652 18292 1612 18397 1282 18697 2695 18787 1416 18818 1366 18853 18949 19117 19310 19510 1070 19606 19722 19751 19756 1625 19761 19780 19825 19927 20158 20212 20253 2584 20428 20458 20479 20491 2196 20583 20632 20747 20788 20809 21058 1752 21082 1600 21276 21321 21403 2125 21493 21731 21817 21895 21975 1308 22114 1072 22130 1005 22262 22263 1101 22303 22344 22570 1547 22706 1645 22879 23371 23615 23851 2374 24184 24189 2562 24268 24337 24397 1050 24421 24448 1219 24483 1202 24519 2511 24805 2507 24979
2021-06-18, 00:30   #1242
sweety439

"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5·7·83 Posts

update PRGW result file for SR40 (I only filled the list up to the prime (8324*40^2122+1)/gcd(8324+1,40-1))
Attached Files
 pfgw.log (15.8 KB, 13 views)

 2021-06-20, 03:31 #1243 sweety439   "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 5×7×83 Posts All remain k for R40 are searched to n=5000: Code: 157,0 490,2238 520,1329 534,0 618,0 709,0 739,0 787,0 862,0 955,1958 1067,0 1114,0 1174,0 1242,2067 1352,3392 1544,3450 1559,0 1762,3336 1795,1750 1805,0 2254,0 2290,1132 2830,2703 2887,0 3033,1336 3034,1085 3156,1834 3342,1097 3361,2596 3418,0 3650,0 3750,1612 3830,2924 3859,1487 3922,1518 4006,0 4132,1091 4183,1065 4219,1017 4297,2662 4582,0 4673,0 4724,1466 4771,0 5218,1020 5233,1032 5308,1259 5431,1756 5629,1113 6107,0 6192,1133 6220,1207 6436,1562 6463,0 6582,1541 6618,1054 6682,0 6684,0 6709,3760 6946,0 7089,1303 7094,0 7126,1158 7258,0 7282,0 7381,0 7504,0 7602,1027 7678,1027 7702,0 7795,0 8032,2104 8035,0 8173,1484 8461,0 8572,0 8899,1091 8959,1212 9121,1374 9226,0 9347,0 9424,1757 9472,0 9511,1670 9716,0 9748,0 9874,2318 9964,0 10003,2052 10060,2445 10285,0 10615,0 10744,0 11030,0 11470,0 11479,0 11560,0 11847,0 11971,4360 12178,0 12193,0 12226,3750 12250,0 12256,1356 12299,0 12301,0 12422,1692 12505,1818 12544,1377 12547,1337 12568,0 12709,1022 12742,0 12750,1082 12873,1174 13005,0 13022,0 13039,0 13165,4713 13191,0 13212,2252 13624,0 13666,0 13777,0 13894,1097 13939,0 14146,0 14262,0 14272,1109 14362,1472 14494,0 14513,1696 14636,2486 14766,1371 14802,2935 14980,4579 15046,1236 15154,1736 15271,2448 15374,0 15376,1297 15388,1113 15417,0 15496,0 15579,1028 15661,0 15730,0 15907,2254 15967,1657 16108,1293 16235,1716 16579,0 16705,0 16728,3289 16891,0 16897,1342 16932,0 17014,0 17137,1828 17275,0 17287,1599 17344,0 17536,4845 17653,1165 17707,1092 17801,1590 17860,1120 17896,2581 17923,0 17998,0 18114,2652 18292,1612 18397,1282 18697,2695 18787,1416 18818,1366 18853,2964 18949,0 19117,0 19310,0 19510,1070 19606,0 19722,0 19751,4554 19756,1625 19761,0 19780,4400 19825,0 19927,0 20158,0 20212,0 20253,2584 20428,0 20458,0 20479,4917 20491,2196 20583,0 20632,3078 20747,4471 20788,0 20809,2906 21058,1752 21082,1600 21276,0 21321,0 21403,2125 21493,0 21731,3999 21817,0 21895,0 21975,1308 22114,1072 22130,1005 22262,0 22263,1101 22303,0 22344,0 22570,1547 22706,1645 22879,0 23371,0 23615,3620 23851,2374 24184,2780 24189,2562 24268,0 24337,0 24397,1050 24421,4047 24448,1219 24483,1202 24519,2511 24805,2507 24979,0 S40 only for k<=26255: (also searched 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

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