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

23·149 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, 35 views)
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Old 2022-09-18, 23:18   #2
Batalov
 
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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

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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.
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File Type: pdf 19 tuple.pdf (212.6 KB, 5 views)
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Old 2022-12-27, 08:52   #4
MattcAnderson
 
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"Matthew Anderson"
Dec 2010
Oregon, USA

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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.
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Old 2023-01-12, 08:04   #5
Cybertronic
 
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Jan 2007
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Quote:
Originally Posted by MattcAnderson View Post
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
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Old 2023-01-17, 01:25   #6
MattcAnderson
 
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"Matthew Anderson"
Dec 2010
Oregon, USA

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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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