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#12 |
Nov 2016
22×691 Posts |
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My GitSub website for status for generalized (minimal primes, left truncatable primes, right truncatable primes in bases 2<=b<=160:
https://github.com/xayahrainie4793/primes (currently not complete and continue updating ....) Last fiddled with by sweety439 on 2020-11-15 at 10:51 |
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#13 | |
Nov 2016
22·691 Posts |
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** Largest minimal prime in base n written in base 10 for 2<=n<=36: 3, 13, 5, 3121, 5209, 2801, 76695841, 811, 66600049, 29156193474041220857161146715104735751776055777, 388177921, 13^32020*8+183, 105424857819287798806418819113233738918727566030978473259776662287591943095417282958456246916612161, 436635814641280043127962407363407208906111673434962498607709751248805460292422544779495998033626489944124062146459306989397233, 16^3544*9+145, ?, 249069897374447078426903207266791381270529, ?, (20^449*16-2809)/19, ?, 22^763*20+7041, (23^800873*106-7)/11, 973767003942195520947294504280890002680537875404412883659428819153939518991719953852457999342229586282557076411687300474817686178175693329, ?, ?, ?, ?, ?, 30^1023*12+1, ?, ?, ?, ?, ?, ? ** Largest minimal prime in base n written in base n for 2<=n<=36: 11, 111, 11, 44441, 40041, 11111, 444444441, 1101, 66600049, 444444444444444444444444444444444444444444441, AA000001, 8032017111, 40000000000000000000000000000000000000000000000000000000000000000000000000000000000049, 96666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666608, 90354291, ?, GG0000000000000000000000000000001, ?, G44799, ?, K0760EC1, 9E800873, M666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661, ?, ?, ?, ?, ?, C010221, ?, ?, ?, ?, ?, ? ** Length of largest minimal prime in base n for 2<=n<=36: 2, 3, 2, 5, 5, 5, 9, 4, 8, 45, 8, 32021, 86, 107, 3545, (≥111334), 33, (≥110986), 449, (≥479150), 764, 800874, 100, (≥136967), (≥8773), (≥109006), (≥94538), (≥174240), 1024, (≥9896), (≥9750), (≥9961), (≥9377), (≥9599), (≥3935) ** Number of minimal primes in base n for 2<=n<=36: (assuming the conjecture in https://mersenneforum.org/showpost.p...&postcount=675 is true) 2, 3, 3, 8, 7, 9, 15, 12, 26, 152, 17, 228, 240, 100, 483, 1280, 50, 3463, 651, 2601, 1242, 6021, 306, (17608 or 17609), 5664, 17215, 5784, (57296 or 57297), 220, (79199 ~ 79206), (45266 ~ 45283), (57708 or 57709), (56487 ~ 56490), (182392 or 182393), 6297 * Left-truncatable prime ** Largest left-truncatable prime in base n written in base 10 for 3<=n<=36: (since no such primes exist for base 2) 23, 4091, 7817, 4836525320399, 817337, 14005650767869, 1676456897, 357686312646216567629137, 2276005673, 13092430647736190817303130065827539, 812751503, 615419590422100474355767356763, 34068645705927662447286191, 1088303707153521644968345559987, 13563641583101, 571933398724668544269594979167602382822769202133808087, 546207129080421139, 1073289911449776273800623217566610940096241078373, 391461911766647707547123429659688417, 33389741556593821170176571348673618833349516314271, 116516557991412919458949, 10594160686143126162708955915379656211582267119948391137176997290182218433, 8211352191239976819943978913, 12399758424125504545829668298375903748028704243943878467, 10681632250257028944950166363832301357693, 720639908748666454129676051084863753107043032053999738835994276213, 4300289072819254369986567661, ?, 645157007060845985903112107793191, 1131569863270120248974817136287838489359936416046975582122661310411, 924039815258046855588818237912726885772934968646554431, 982498935397824993800810311994840611581693708091339679644860318739434026149, 448739985000415097566502155600731235704288431019152509, ? ** Largest left-truncatable prime in base n written in base n for 3<=n<=36: (since no such primes exist for base 2) 212, 333323, 222232, 14141511414451435, 6642623, 313636165537775, 4284484465, 357686312646216567629137, A68822827, 471A34A164259BA16B324AB8A32B7817, CC4C8C65, D967CCD63388522619883A7D23, 6C6C2CE2CEEEA4826E642B, DBC7FBA24FE6AEC462ABF63B3, 6C66CC4CC83, AF93E41A586HE75A7HHAAB7HE12FG79992GA7741B3D, CIEG86GCEA2C6H, FC777G3CG1FIDI9I31IE5FFB379C7A3F6EFID, G8AGG2GCA8CAK4K68GEA4G2K22H, FFHALC8JFB9JKA2AH9FAB4I9L5I9L3GF8D5L5, IMMGM6C6IMCI66A4H, HMJEJFA3A71DID9MFMNFE3D3KJHA61KH92IFCA3LB8GF444FBB7AH, ME6OM6OECGCC24C6EG6D, L2K853AC9IC628859L93F7FLAM7L25EN3C3PC27, O2AKK6EKG844KAIA4MACK6C2ECAB, 5C9126C3PN6IRP5FPBMKA5LGBMO387R5IJLO54OFBFJL85, KCG66AGSCKEIASMCKKJ, ?, UUAUIKUC4UI6OCECI642SD, LFLHKUDGSP39SAAPAD9I9OLIOUOH6GV68OR8UMJ6LRUB, 6ISWQOIMIWC8OKQAIMKUQ24KO86WK2ASCEC5, U9WSWU4T672RCMFESU6B6FG99UNABPFOU2LIIUGTX1KABJBPV, E8KUSUKKQEQWEWCMIEOY46Q8888QOSAAYOJ, ? ** Length of largest left-truncatable prime in base n for 3<=n<=36: (since no such primes exist for base 2) 3, 6, 6, 17, 7, 15, 10, 24, 9, 32, 8, 26, 22, 25, 11, 43, 14, 37, 27, 37, 17, 53, 20, 39, 28, 46, 19, (about 82 in theory), 22, 44, 36, 49, 35, (about 76 in theory) ** Number of left-truncatable primes in base n for 2<=n<=36: 0, 3, 16, 15, 454, 22, 446, 108, 4260, 75, 170053, 100, 34393, 9357, 27982, 362, 14979714, 685, 3062899, 59131, 1599447, 1372, 1052029701, 10484, 7028048, 98336, 69058060, 3926, (about 16844070429770 in theory), 11314, 35007483, 2527304, 240423316, 607905, (about 1631331033450 in theory) * Right-truncatable prime ** Largest right-truncatable prime in base n written in base 10 for 3<=n<=36: (since no such primes exist for base 2) 71, 191, 2437, 108863, 6841, 4497359, 1355840309, 73939133, 6774006887, 18704078369, 122311273757, 6525460043032393259, 927920056668659, 16778492037124607, 4928397730238375565449, 5228233855704101657, 3013357583408354653, 1437849529085279949589, 101721177350595997080671, 185720479816277907890970001, 158208158913013692383, 192747244030905257036482742599289, 11360039924980123824119977, 522764314648992960422987767, 106521223483392113109841556843, 467437774672035454997088263971, 18980691336146397055451904000521, 206971354022501468249535515240921, 403878995374635723531460715056361, 9813093725765026702961210138094949, 10174889780995609522983172669668593, 18085876810004448001794542893991790487, 9520817609816167868579578513867491007, 8723727825272063982605771015871962141 ** Largest right-truncatable prime in base n written in base n for 3<=n<=36: (since no such primes exist for base 2) 2122, 2333, 34222, 2155555, 25642, 21117717, 3444224222, 73939133, 29668286AA, 375BB5B515, B6C2CA8A8A, 2DD35B9D399395B3D, 72424E42EEE8E, 3B9BF319BD51FF, 5G4CEE8EC688CAC86G, DH17HB7BBD75BDB, 3EC8GI8GICIEG8C, 23HBH9D19HH9JDDJ9, 3824A4GGA4AG82KKA8, 5H975FFLLJF3HL3F33F3, DEK6ICCE8EE2K26, 3B5J511H5NJNN55B7JDBNN7H, JCMIIIEIIOIC4EIGO2, HJ1FHN97JF9P7PFFJ19, 2DMMKQEMAM4884QMAEAG2, 5953R9JHJ5PFF3R3H3D9N, 3K6QOO6682O4AG4GG6Q82C, JNHJ77DDNT7THDD177HD7B, JC642UIS2S8GOQUSKMII2A, 7HT59VF3PDRRJ7PD3371RB5, 3WEK8QAGQW8GW4E4KWGEAA2, 35X5FPF5R7XBXD9LRB1BRXXVT, T6CGG4G68I4MC26GCOYYCWCC, DZJZJPDDP7J55ZNPPZ71PD7H ** Length of largest right-truncatable prime in base n for 3<=n<=36: (since no such primes exist for base 2) 4, 4, 5, 7, 5, 8, 10, 8, 10, 10, 10, 17, 13, 14, 18, 15, 15, 17, 18, 20, 15, 24, 18, 19, 21, 21, 22, 22, 22, 23, 23, 25, 24, 24 ** Number of right-truncatable primes in base n for 2<=n<=36: 0, 4, 7, 14, 36, 19, 68, 68, 83, 89, 179, 176, 439, 373, 414, 473, 839, 1010, 1577, 2271, 2848, 1762, 3376, 5913, 6795, 6352, 10319, 5866, 14639, 13303, 19439, 29982, 38956, 39323, 58857 |
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#15 |
Nov 2016
ACC16 Posts |
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#16 |
Nov 2016
22×691 Posts |
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#17 |
Nov 2016
53148 Posts |
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https://members.loria.fr/PZimmermann...ds/ecmnet.html
http://www.rechenkraft.net/yoyo/ https://escatter11.fullerton.edu/nfs/ http://home.iprimus.com.au/bobb777/ https://sites.google.com/site/bbuhrow/ https://sourceforge.net/projects/prpnet/ https://sourceforge.net/projects/msieve/ Last fiddled with by sweety439 on 2020-11-27 at 05:26 |
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#21 |
"Seth"
Apr 2019
22×59 Posts |
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For prime gaps
https://github.com/primegap-list-project/prime-gap-list Records can be automatically submitted at http://primegaps.cloudygo.com/ Data and graphs at https://primegap-list-project.github.io/lists/ |
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#22 | |
Nov 2016
22×691 Posts |
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