[QUOTE=MattcAnderson;590487]Hi all,
Norman is doing a great project!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Matt[/QUOTE] :bow: At the moment , I calculate PI_14(10^22) It tooks only 4 days per pattern plus any breaks. Norman P.S. Using PCs [2 Ryzen 7 1700 3 GHz] 
PI_14(10^22)
PI_14(10^22) is done.
There are 1810 14tuplets up to 10^22 [URL]http://www.pzktupel.de/Tables.html[/URL] next: PI_15(10^22) 
x congruent 29#
I updated the pattern list for prime 25..30 tuplets.
Prime 30tuplets are the first case of x congruent 29# [URL]http://www.pzktupel.de/ktpatt.html[/URL] This is only a theoretical fact. pattern : 0 4 6 10 16 18 28 30 34 36 48 58 60 64 66 70 76 78 84 88 94 100 106 108 114 118 120 126 130 136; first number : 36990193 (modulo 223092870) pattern : 0 6 10 16 18 22 28 30 36 42 48 52 58 60 66 70 72 76 78 88 100 102 106 108 118 120 126 130 132 136; first number : 186102541 (modulo 223092870) 
Fabelhaft! :bow:
[QUOTE=Cybertronic;591212] [URL]http://www.pzktupel.de/ktpatt.html[/URL] [/QUOTE] Call me naive, but I believe the first numbers of 6tuplets can be restricted to 97 mod 210... have only looked at the first few examples though. 
[QUOTE=Cybertronic;591197]PI_14(10^22) is done.
There are 1810 14tuplets up to 10^22 [URL]http://www.pzktupel.de/Tables.html[/URL] next: PI_15(10^22)[/QUOTE] I saw your page and I have a question: How many classes of prime ntuplets? [CODE] n classes 1 {0} (1 class) 2 {0,2} (1 class) 3 {0,2,6}, {0,4,6} (2 classes) 4 {0,2,6,8} (1 class) 5 {0,2,6,8,12}, {0,4,6,10,12} (2 classes) 6 {0,4,6,10,12,16} (1 class) 7 {0,2,6,8,12,18,20}, {0,2,8,12,14,18,20} (2 classes) 8 {0,2,6,8,12,18,20,26}, {0,6,8,14,18,20,24,26}, {0,2,6,12,14,20,24,26} (3 classes) 9 {0,2,6,8,12,18,20,26,30}, {0,4,6,10,16,18,24,28,30}, {0,2,6,12,14,20,24,26,30}, {0,4,10,12,18,22,24,28,30} (4 classes) 10 {0,2,6,8,12,18,20,26,30,32}, {0,2,6,12,14,20,24,26,30,32} (2 classes) [/CODE] and I searched "[URL="https://oeis.org/search?q=1%2C+1%2C+2%2C+1%2C+2%2C+1%2C+2%2C+3%2C+4%2C+2&language=english&go=Search"]1, 1, 2, 1, 2, 1, 2, 3, 4, 2[/URL]" in OEIS, and no result about prime ktuple found. 
Thanks Martin, this was not optimal. Overlooked !:smile:
[QUOTE=mart_r;591254]Fabelhaft! :bow: Call me naive, but I believe the first numbers of 6tuplets can be restricted to 97 mod 210... have only looked at the first few examples though.[/QUOTE] 
[QUOTE=sweety439;591255]I saw your page and I have a question: How many classes of prime ntuplets?
[CODE] n classes 1 {0} (1 class) 2 {0,2} (1 class) 3 {0,2,6}, {0,4,6} (2 classes) 4 {0,2,6,8} (1 class) 5 {0,2,6,8,12}, {0,4,6,10,12} (2 classes) 6 {0,4,6,10,12,16} (1 class) 7 {0,2,6,8,12,18,20}, {0,2,8,12,14,18,20} (2 classes) 8 {0,2,6,8,12,18,20,26}, {0,6,8,14,18,20,24,26}, {0,2,6,12,14,20,24,26} (3 classes) 9 {0,2,6,8,12,18,20,26,30}, {0,4,6,10,16,18,24,28,30}, {0,2,6,12,14,20,24,26,30}, {0,4,10,12,18,22,24,28,30} (4 classes) 10 {0,2,6,8,12,18,20,26,30,32}, {0,2,6,12,14,20,24,26,30,32} (2 classes) [/CODE] and I searched "[URL="https://oeis.org/search?q=1%2C+1%2C+2%2C+1%2C+2%2C+1%2C+2%2C+3%2C+4%2C+2&language=english&go=Search"]1, 1, 2, 1, 2, 1, 2, 3, 4, 2[/URL]" in OEIS, and no result about prime ktuple found.[/QUOTE] Try one term less in the search and you'll find A[OEIS]083409[/OEIS]. 
Helle sweety439 !
> I saw your page and I have a question: How many classes of prime ntuplets? The exact class for a prime ntuplet I had take over from Tony Forbes. What you mean ? Here is another list: [url]http://www.opertech.com/primes/ktuples.html[/url] Helpfully? 
correction #36. It is 23#, not 29#
:rolleyes:
[Prime 30tuplets are the first case of x congruent 23#] And so on... 
up to prime 50tuplet
The congruentcalculation for all patterns up to prime 50tuplet is done.
See: [url]http://www.pzktupel.de/ktpatt.html[/url] The largest modulonumber is (modulo 10555815270) I hope it is correct. 
new color scheme
[url]http://www.pzktupel.de/ktuplets[/url]

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