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 2022-03-02, 20:17 #67 Cybertronic     Jan 2007 Germany 10001100012 Posts smallest 45-digit prime 13-tuplet Thank you Matt ! The 4th kind is found 100000000000000000000006149198224095343810309+d,d=0,2,8,14,18,20,24,30,32,38,42,44,48 Last fiddled with by Cybertronic on 2022-03-02 at 20:17
 2022-03-05, 18:57 #68 Cybertronic     Jan 2007 Germany 3×11×17 Posts smallest 45-digit prime 13-tuplet ...and the probable 5th kind is found ! It set also a new record for this pattern. 100000000000000000000002004740564798426955633+d,d=0,4,6,10,16,18,24,28,30,34,36,46,48 Last fiddled with by Cybertronic on 2022-03-05 at 18:57
 2022-03-08, 18:15 #69 Cybertronic     Jan 2007 Germany 3·11·17 Posts smallest 45-digit prime 13-tuplet (complete set!) These are the smallest 45-digit prime 13-tuplet and each pattern (6). 100000000000000000000006149198224095343810309+d,d=00,02,08,14,18,20,24,30,32,38,42,44,48 100000000000000000000004356680452416578030761+d,d=00,02,06,08,12,18,20,26,30,32,36,42,48 100000000000000000000002004740564798426955633+d,d=00,04,06,10,16,18,24,28,30,34,36,46,48 100000000000000000000001385313747234235067869+d,d=00,02,12,14,18,20,24,30,32,38,42,44,48 100000000000000000000000370753267420360939851+d,d=00,06,12,16,18,22,28,30,36,40,42,46,48 100000000000000000000000123638035929118697823+d,d=00,04,06,10,16,18,24,28,30,34,40,46,48
 2022-03-31, 15:11 #70 Cybertronic     Jan 2007 Germany 3×11×17 Posts smallests 6000-digit prime triplets The smallests 6000 digit prime triplets are known ! Many thanks goes to "kruoli" for his primo-support ! 10^5999 + 835812013681 + d, d=0,2,6 10^5999 + 634115091747 + d, d=0,4,6 Next: smallest 3000-digit prime quadruplet Last fiddled with by Cybertronic on 2022-03-31 at 15:11
 2022-05-04, 17:02 #71 Cybertronic     Jan 2007 Germany 3·11·17 Posts The smallest 3000-digit prime quadruplet is known ! 10^2999+339930644528851+d,d=0,2,6,8 Primo runs formal. Last fiddled with by Cybertronic on 2022-05-04 at 17:02
 2022-06-27, 05:41 #72 Cybertronic     Jan 2007 Germany 3·11·17 Posts 1100-digit prime quintuplet [0,2,6,8,12] 10^1099+26317044823878361+d,d=0,2,6,8,12.
 2022-06-28, 03:35 #73 Cybertronic     Jan 2007 Germany 3·11·17 Posts smallest 20000 digit Twins 10^19999 + 1514722610 ± 1 is now the smallest proven twin prime ! Many thanks go to Paul Underwood, who donate time to certificated this numbers (and the smallest 20k digit prime) via FastECPP ! Good job ! Greetings Norman https://pzktupel.de/smx0000.php https://pzktupel.de/KTHIST/kt002.php Last fiddled with by Cybertronic on 2022-06-28 at 03:39
 2022-07-25, 04:56 #74 Cybertronic     Jan 2007 Germany 3·11·17 Posts smallest 1100-digit prime quintuplet [0,4,6,10,12] 10^1099 + 15720821612555937 + d, d=0,4,6,10,12
 2022-08-16, 11:24 #75 Cybertronic     Jan 2007 Germany 3×11×17 Posts smallest 7000-digiti prime triplet 1st kind 10^6999 + 1141791245437 + d, d = 0, 2, 6 is the smallest 7000-digit prime triplet to given pattern. Many thanks goes to "kruoli" for his FastECPP-support ! https://pzktupel.de/smx000.php
 2022-09-14, 10:11 #76 Cybertronic     Jan 2007 Germany 3·11·17 Posts smallest 7000-digit prime triplet 2nd kind 10^6999 + 1868862621087 + d, d = 0, 4, 6 is the smallest 7000-digit prime triplet to given pattern. Many thanks goes to "kruoli" for his FastECPP-support ! Next: smallest 55 digit prime 12-tuplet Estimated time: 1 week per pattern
 2022-09-23, 08:26 #77 Cybertronic     Jan 2007 Germany 10618 Posts smallest 55-digit prime 12-tuplet, 1st kind After round 2 weeks, I found the 1st smallest one to given pattern. 10^54 + 2743862590724468830501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, next is 10^54 + 2955087732304487826931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 Both was found in the same cycle. Last fiddled with by Cybertronic on 2022-09-23 at 08:27

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