mersenneforum.org smallest n-digit prime k-tuplet
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2021-03-22, 08:06   #34
Cybertronic

Jan 2007
Germany

1001011112 Posts
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 2021-03-30, 19:38 #35 Cybertronic     Jan 2007 Germany 3·101 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 3·101 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 3×101 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

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