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Old 2021-06-09, 16:40   #45
Cybertronic
 
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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
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Old 2021-06-20, 15:48   #46
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Default Offset found

Even I found a probable offset candidate for the smallest 600-digit prime sextuplet


3,14e17
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Old 2021-07-13, 14:57   #47
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Default 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 !
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Old 2021-07-14, 08:08   #48
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Sorry, was my mistake.

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Old 2021-07-15, 16:43   #49
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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

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Old 2021-07-28, 09:38   #50
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Default 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


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File Type: pdf smallest-n-digit-prime-k-tuplets_main-list.pdf (191.2 KB, 26 views)

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Old 2021-08-11, 12:36   #51
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Default 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

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Old 2021-08-23, 03:57   #52
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Default 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
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Old 2021-08-28, 02:47   #53
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Default 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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