20211101, 05:46  #67 
Mar 2021
3B_{16} Posts 
This approach is only useful when it is needed to guarantee that a number is prime. For prime gap searches that probably means only maximal gap searches where we want to make sure we haven't missed any large gaps. The approach requires knowing all primes up to sqrt(N) so it couldn't be used for very large numbers. It might be useful up to 2^{80}.

20220301, 23:49  #68 
May 2018
417_{8} Posts 
How far have you gotten in your search now? Have you found any new large prime gaps just above 2^{64}? Have you proven that 1552 and 1572 are maximal prime gaps?

20220302, 03:17  #69 
Jun 2015
Vallejo, CA/.
10001101011_{2} Posts 

20220507, 14:01  #70 
May 2018
271 Posts 
Well, Craig has not been on this site in a while. Does anybody else know how to prove the new maximal prime gaps?

20220719, 17:34  #71  
Jun 2015
Vallejo, CA/.
3·13·29 Posts 
Quote:
As far as I know ATH had checked up to 2^{64} +1.05 X10^{16}. The first gaps that are still not known to be a first occurrence are
When the search is completed up to 18470057946260698231 ie 2^{64} +2.33 X10^{16}. then it will be (hopefully a new maximal gap. 

20220813, 18:29  #72 
May 2018
417_{8} Posts 
We should try to confirm these gaps ASAP. Where is the program to do it?

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