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AP19, AP20 with difference 19#   Message List  
Reply Message #19743 of 21307 |
Re: [PrimeNumbers] AP19, AP20 with difference 19#

I have changed my program searching for AP with difference 19# from
AP19 exhaustive to AP21 exhaustive, which allowed me to move much
faster.

I have found:

AP21: 28112131522731197609+19#*n, n=0..20

This is:
The smallest EXISTING AP21 with difference 19#.
The first KNOWN case of 21 simultaneous primes according to JKA rules.
The first KNOWN AP21 with any difference and terms above 2^64.

I have used 42 computers yesterday during the day and total of 58
overnight, making something like 50 computers on average times 24
hours since the program was restarted after change.

After the restart I found one AP19, and the above AP21 was the second AP19+.

With 5 AP18 (for a total of 7 AP18+) I think I fully deserved to find
one AP19, perhaps two with some luck. I shouldn't really expect any
AP20, so AP21 is a miracle.

Jarek



Wed Dec 3, 2008 6:55 am

jarek372000
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Message #19743 of 21307 |
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Searching for an AP19 with difference 19# I have determined that there are exactly 2 AP19 with the first term below 1522399116794903040 = 1.5224*10^18 and...
jarek372000
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Dec 2, 2008
4:07 am

... Congratulations on a two-for-one! http://hjem.get2net.dk/jka/math/aprecords.htm#minimal is updated with two new blue entries instead of red. If anyone is...
Jens Kruse Andersen
jkand71
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Dec 2, 2008
3:50 pm

I have changed my program searching for AP with difference 19# from AP19 exhaustive to AP21 exhaustive, which allowed me to move much faster. I have found: ...
Jaroslaw Wroblewski
jarek372000
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Dec 3, 2008
6:55 am

... Big congratulations! An AP21 with the minimal difference 19# is amazing. http://hjem.get2net.dk/jka/math/aprecords.htm and ...
Jens Kruse Andersen
jkand71
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Dec 3, 2008
10:07 pm
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