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Old 2022-03-02, 20:17   #67
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Default 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
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Old 2022-03-05, 18:57   #68
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Default 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
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Old 2022-03-08, 18:15   #69
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Default 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
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Old 2022-03-31, 15:11   #70
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Thumbs up 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
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Old 2022-05-04, 17:02   #71
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Default 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
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Old 2022-06-27, 05:41   #72
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Default 1100-digit prime quintuplet [0,2,6,8,12]

10^1099+26317044823878361+d,d=0,2,6,8,12.
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Old 2022-06-28, 03:35   #73
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Default 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
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Old 2022-07-25, 04:56   #74
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Default smallest 1100-digit prime quintuplet [0,4,6,10,12]

10^1099 + 15720821612555937 + d, d=0,4,6,10,12
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