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Old 2022-08-16, 20:20   #1
MattcAnderson
 
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"Matthew Anderson"
Dec 2010
Oregon, USA

32·131 Posts
Smile 19- tuple search

There is, currently, no known 19-tuple with pattern
[0, 4, 6, 10, 12, 16, 24, 30, 34, 40, 42, 46, 52, 54, 60, 66, 70, 72, 76]
I wrote some attached search code, but I think it is too slow.
from the pzktupel.de webpage, I estimate that the prime number is about 10^27, comparing with other 19 tuplels.
I was able to search to 10^12 after an hour and a half. At that rate, it would take years to find the prime.
I will search for a few days, and see what I find.

Matt
Attached Files
File Type: pdf 19 tuple search2.pdf (167.2 KB, 29 views)
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Old 2022-09-18, 23:18   #2
Batalov
 
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"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

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Quote:
Originally Posted by MattcAnderson View Post
There is, currently, no known 19-tuple with pattern
[0, 4, 6, 10, 12, 16, 24, 30, 34, 40, 42, 46, 52, 54, 60, 66, 70, 72, 76]
Not known? Really?

What is this then?
Code:
622803914376064301858782434517 + d, 
d = 0, 4, 6, 10, 12, 16, 24, 30, 34, 40, 42, 46, 52, 54, 60, 66, 70, 72, 76	
30 digits 27 Dec 2018 Raanan Chermoni & Jaroslaw Wroblewski
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Old 2022-12-02, 06:05   #3
MattcAnderson
 
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"Matthew Anderson"
Dec 2010
Oregon, USA

22338 Posts
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I was wrong. See maple worksheet showing that
the 19-tuple
622803914376064301858782434517+d
is prime for d in [0, 4, 6, 10, 12, 16, 24, 30, 34, 40, 42, 46, 52, 54, 60, 66, 70, 72, 76]

Have a nice day.
Attached Files
File Type: pdf 19 tuple.pdf (212.6 KB, 1 views)
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