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 2020-11-15, 10:51 #12 sweety439   Nov 2016 22×691 Posts 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
2020-11-15, 10:56   #13
sweety439

Nov 2016

22×691 Posts

Quote:
 Originally Posted by sweety439 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 ....)
* Minimal prime

** 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

 2020-11-21, 07:44 #14 sweety439   Nov 2016 22·691 Posts
 2020-11-27, 05:07 #15 sweety439   Nov 2016 22×691 Posts
 2020-11-27, 05:16 #16 sweety439   Nov 2016 22×691 Posts
 2020-11-27, 05:25 #17 sweety439   Nov 2016 22×691 Posts Last fiddled with by sweety439 on 2020-11-27 at 05:26
 2020-11-27, 05:27 #18 sweety439   Nov 2016 22·691 Posts Prime programs: PARI/GP PRIMO PFGW LLR SRSIEVE (dead link, for downloading of srsieve, go to the post) CKSIEVE Last fiddled with by sweety439 on 2020-11-27 at 05:28
 2020-11-27, 05:34 #19 sweety439   Nov 2016 22×691 Posts
 2020-11-27, 05:44 #20 sweety439   Nov 2016 22×691 Posts Last fiddled with by sweety439 on 2020-11-27 at 05:49
 2020-11-27, 13:30 #21 SethTro     "Seth" Apr 2019 5·47 Posts 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/
2020-12-01, 19:32   #22
sweety439

Nov 2016

ACC16 Posts

Quote:
 Originally Posted by sweety439 Another link for right-truncatable primes: http://fatphil.org/maths/rtp/rtp.html
Another link for right-truncatable primes: http://www.primerecords.dk/left-truncatable.htm

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