mersenneforum.org smallest n-digit prime k-tuplet
 Register FAQ Search Today's Posts Mark Forums Read

2021-03-22, 08:06   #34
Cybertronic

Jan 2007
Germany

57210 Posts
Update PDF-File 22-03-2021

Update.
Attached Files
 smallest-n-digit-prime-k-tuplets_main-list.pdf (167.7 KB, 126 views)

 2021-03-30, 19:38 #35 Cybertronic     Jan 2007 Germany 22·11·13 Posts complete set of smallest 30-digit prime 15-tuplets 100000001341915517111319670637+d,d=00,02,06,12,14,20,24,26,30,36,42,44,50,54,56 100000001651438068367136632687+d,d=00,02,06,12,14,20,26,30,32,36,42,44,50,54,56 100000008317726120972779285703+d,d=00,06,08,14,20,24,26,30,36,38,44,48,50,54,56 100000005745569203832854981801+d,d=00,02,06,08,12,18,20,26,30,32,36,42,48,50,56 (99,99% sure) next is: Try to find the smallest set of 25-digit prime 17-tuplet....and ! I found after few hours the 1st possible combination 1024494443639408527082233+d,d=00,04,06,10,16,18,24,28,30,34,40,46,48,54,58,60,66 This is my first prime 17-tuplet ! Last fiddled with by Cybertronic on 2021-03-30 at 19:40
 2021-04-13, 13:28 #36 Cybertronic     Jan 2007 Germany 10001111002 Posts second 25-digit prime 17-tuplet The 2nd smallest 25-digit prime 17-tuplet is known. 1234254817970443433617451+d,d=00,06,08,12,18,20,26,32,36,38,42,48,50,56,60,62,66 Last fiddled with by Cybertronic on 2021-04-13 at 13:28
 2021-04-28, 11:10 #37 Cybertronic     Jan 2007 Germany 22×11×13 Posts 3rd kind of smallest 25-digit prime 17-tuplet ...is known 1271960773255490350812797+d,d=0,2,6,12,14,20,24,26,30,36,42,44,50,54,56,62,66 [comuting time 2 weeks] BTW, for pattern d=0,4,10,12,16,22,24,30,36,40,42,46,52,54,60,64,66 is the smallest number (see OEIS) N=734975534793324512717947. I think this is very large so I make a double test up to 1e23. Maybe there are a smaller one. Last fiddled with by Cybertronic on 2021-04-28 at 11:16
 2021-05-22, 14:42 #38 Cybertronic     Jan 2007 Germany 22×11×13 Posts 2000 / 3000 digit smallest proven! prime k-tuplets reference: factordb.com 2000-digits k: number to pattern d 1: 10^1999+7321 / proven prime 2: 10^1999+89316289+d, d=0,2 / proven primes 3: 10^1999+27107552191+d, d=0,2,6 / proven primes 3: 10^1999+38866053453+d, d=0,4,6 / proven primes 4: 10^1999+205076414983951+d d=0,2,6,8 / found by Gerd Lamprecht (2017) & proven primes 3000-digits k: number to pattern d 1: 10^2999+1887 / proven prime 2: 10^2999+18893101+d, d=0,2 / proven primes 3: 10^2999+25740029131+d, d=0,2,6 / proven primes 3: 10^2999+37274603937+d, d=0,4,6 / proven primes Last fiddled with by Cybertronic on 2021-05-22 at 14:43
 2021-05-23, 04:19 #39 Cybertronic     Jan 2007 Germany 22×11×13 Posts 4000 digit - smallest proven! prime k-tuplets reference: factordb.com 4000-digits k: number to pattern d 1: 10^3999+4771 / proven prime by Giovanni and Marco La Barbera (2001) 2: 10^3999+153668401+d, d=0,2 / proven primes 3: 10^3999+182402621497+d, d=0,2,6 / proven primes 3: 10^3999+243095638113+d, d=0,4,6 / proven primes
 2021-05-23, 15:23 #40 Cybertronic     Jan 2007 Germany 22×11×13 Posts 5000 digit - smallest twins 5000 digits : 10^4999+45171901+d, d=0,2 /now proven primes
 2021-06-01, 05:54 #41 Cybertronic     Jan 2007 Germany 22×11×13 Posts new proven primes,twins,triplets smallest x1000-digit prime 6000 digits :10^5999+29379 7000 digits :10^6999+33187 8000 digits :10^7999+35887 / proven primes by Robert Gelhar (05/2021,Primo) 9000 digits :10^8999+3541 / proven primes by Robert Gelhar (05/2021,Primo) smallest x1000-digit twin prime 7000 digits : 10^6999+151203769+d,d=0,2 / proven primes by Robert Gelhar (05/2021,Primo) 8000 digits :10^7999+439617139+d,d=0,2 / proven primes by Robert Gelhar (05/2021,Primo) 9000 digit :10^8999+1321587+d,d=0,2 / proven primes by Robert Gelhar (05/2021,Primo) smallest 5000-digit prime triplets 10^4999+70852892827+d d=0,2,6 / proven primes by Norman Luhn (Primo) 10^4999+244793127627+d d=0,4,6 / proven primes by Norman Luhn (Primo)
 2021-06-03, 20:26 #42 Cybertronic     Jan 2007 Germany 22×11×13 Posts smallets gigantic twin 10^9999+2421018649+d,d=0,2 is the smallest gigantic twin. Found by Dirk Augustin in 2010 and now proven primes by Norman Luhn.
 2021-06-05, 12:52 #43 Cybertronic     Jan 2007 Germany 22×11×13 Posts smallest 20000-digit twins I found the smallest 20000 digit twin PRPs. 10^19999+1514722609+d,d=0,2 ______ Norman
2021-06-08, 03:52   #44
Cybertronic

Jan 2007
Germany

22·11·13 Posts
4th kind of smallest 25-digit prime 17-tuplet found

The 4th kind ist found, so the complete set of smallest 25 digit prime 17-tuplet is known.

1024494443639408527082233+d,d=00,04,06,10,16,18,24,28,30,34,40,46,48,54,58,60,66
1234254817970443433617451+d,d=00,06,08,12,18,20,26,32,36,38,42,48,50,56,60,62,66
1271960773255490350812797+d,d=00,02,06,12,14,20,24,26,30,36,42,44,50,54,56,62,66
1341829940444122313597407+d,d=00,04,10,12,16,22,24,30,36,40,42,46,52,54,60,64,66

latest update:
Attached Files
 smallest-n-digit-prime-k-tuplets_main-list.pdf (189.7 KB, 83 views)

 Similar Threads Thread Thread Starter Forum Replies Last Post sweety439 sweety439 12 2021-06-28 09:24 sweety439 sweety439 2 2020-02-11 19:58 Stargate38 Puzzles 6 2014-09-29 14:18 mart_r Lounge 3 2009-01-14 01:18 Heck Factoring 9 2004-10-28 11:34

All times are UTC. The time now is 01:08.

Tue Dec 6 01:08:43 UTC 2022 up 109 days, 22:37, 0 users, load averages: 0.74, 0.87, 0.89