mersenneforum.org smallest n-digit prime k-tuplet
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 2021-06-09, 16:40 #45 Cybertronic     Jan 2007 Germany 25·11 Posts next: Try to find the smallest 600-digit prime sextuplet. 10^599+x+d,d=0,4,6,10,12,16; x<400'000'000'000'000'000 Estimated time: 40d Last fiddled with by Cybertronic on 2021-06-09 at 16:42
 2021-06-20, 15:48 #46 Cybertronic     Jan 2007 Germany 5408 Posts Offset found Even I found a probable offset candidate for the smallest 600-digit prime sextuplet 3,14e17
 2021-07-13, 14:57 #47 pzktupel     Jul 2021 210 Posts smallest 600-digit prime sextuplet is known 10^599+314360191056418137+d,d=0,4,6,10,12,16 are 6 proven primes. written-out 100000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000314360191056418137+d,d=0,4,6,10,12,16 are 6 primes !
 2021-07-14, 08:08 #48 Cybertronic     Jan 2007 Germany 25×11 Posts Sorry, was my mistake. Cybertronic continue this thread.
 2021-07-15, 16:43 #49 Cybertronic     Jan 2007 Germany 25·11 Posts next: smallest 40-digit prime 14-tuplet, 2nd kind 10000000000000000XXXXXXXXXXXXXXXXXXXXXX1+d,d=00,02,06,08,12,18,20,26,30,32,36,42,48,50 offset range: 48'880'000'000'000'000'000'000 estimated time: 15d ________________ 13-tuplet : 27545153594708289884461 [d=0..48], top-10 Last fiddled with by Cybertronic on 2021-07-15 at 16:48
2021-07-28, 09:38   #50
Cybertronic

Jan 2007
Germany

25×11 Posts
smallest 40-digit prime 14-tuplet, 2nd kind is found

The 2nd kind is now known, also 4 top-10 prime 13-tuplets.

14-tuplet:

1000000000000000014210159036148101380471+d,d=0,2,6,8,12,18,20,26,30,32,36,42,48,50

13-tuplets:
1000000000000000027545153594708289884461+d,d=0,2,6,8,12,18,20,26,30,32,36,42,48
1000000000000000014210159036148101380473+d,d=0,4,6,10,16,18,24,28,30,34,40,46,48
1000000000000000014210159036148101380471+d,d=0,2,6,8,12,18,20,26,30,32,36,42,48
1000000000000000005621788289386343008051+d,d=0,2,6,8,12,18,20,26,30,32,36,42,48

Status:
Attached Files
 smallest-n-digit-prime-k-tuplets_main-list.pdf (191.2 KB, 23 views)

Last fiddled with by Cybertronic on 2021-07-28 at 09:39

 2021-08-11, 12:36 #51 Cybertronic     Jan 2007 Germany 5408 Posts smallest 80-digit prime 10-tuplet and each pattern are known. 10^79+10585817703213775471+d; d=0,2,6,8,12,18,20,26,30,32 10^79+102136266166226877007+d; d=0,2,6,12,14,20,24,26,30,32 Next: smallest googol prime 10-tuplet , 2nd kind Last fiddled with by Cybertronic on 2021-08-11 at 12:42
 2021-08-23, 03:57 #52 Cybertronic     Jan 2007 Germany 16016 Posts smallest googol prime 10-tuplet are known ! Here is the set of smallest googol prime 10-tuplet. 10^100+426534752174683621+d,d=00,02,06,08,12,18,20,26,30,32 10^100+83943549068390212567+d,d=00,02,06,12,14,20,24,26,30,32 next: smallest 85-digit prime 10-tuplet
 2021-08-28, 02:47 #53 Cybertronic     Jan 2007 Germany 25·11 Posts complete set of smallest 85-digit prime 10-tuplets 10^84+22997034170524527571+d,d=00,02,06,08,12,18,20,26,30,32 10^84+1250579054870603617+d,d=00,02,06,12,14,20,24,26,30,32 next ?: smallest 90-digit prime 10-tuplets

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