mersenneforum.org 19- tuple search
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2022-08-16, 20:20   #1
MattcAnderson

"Matthew Anderson"
Dec 2010
Oregon, USA

22508 Posts
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
 19 tuple search2.pdf (167.2 KB, 35 views)

2022-09-18, 23:18   #2
Batalov

"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

32×1,117 Posts

Quote:
 Originally Posted by MattcAnderson 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

2022-12-02, 06:05   #3
MattcAnderson

"Matthew Anderson"
Dec 2010
Oregon, USA

23·149 Posts

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
 19 tuple.pdf (212.6 KB, 5 views)

 2022-12-27, 08:52 #4 MattcAnderson     "Matthew Anderson" Dec 2010 Oregon, USA 22508 Posts According to the website pzktupel.de/largest.php There are no known 19 tuples with pattern 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70, 76 This webpage is run by Norman Luhn Have a nice day.
2023-01-12, 08:04   #5
Cybertronic

Jan 2007
Germany

22·5·31 Posts

Quote:
 Originally Posted by MattcAnderson According to the website pzktupel.de/largest.php There are no known 19 tuples with pattern 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70, 76 This webpage is run by Norman Luhn Have a nice day.
This is not correct....there is no known non-trivial

13+d,d=0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70, 76 is a prime 19-tuplet

 2023-01-17, 01:25 #6 MattcAnderson     "Matthew Anderson" Dec 2010 Oregon, USA 4A816 Posts I was wrong again. New data is calculated every day. Have a nice day. Last fiddled with by MattcAnderson on 2023-01-17 at 01:26

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