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gnostique 2021-03-01 18:22

Twin prime bounds
 
Upper and lower bounds on the number of twin primes in arbitrary intervals were [URL="https://doi.org/10.33774/coe-2021-r149l"]conjectured[/URL] with an efficient method of verification (computational complexity ~ [I]log log d[/I]). The bounds were verified up to p[SUP]2[/SUP] of the first 1000 primes.

It would be interesting to: 1) verify the bounds independently; and 2) to still higher intervals.
Note: the method iterates over all possible positions and so may not be suitable for searches of very large twins.
Please feel free to pm for more information.

MattcAnderson 2021-03-13 14:53

I'm no expert, but here is more information on twin prime numbers.

[URL="http://https://www.wolframalpha.com/input/?i=twin+primes"]https://www.wolframalpha.com/input/?i=twin+primes[/URL]

Matt


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