25125infinitely popular prime gap sizes
- May 30, 2013
> If there are infinitely many consecutive pairs of primes with some gap < 70--I suspect Zhang's proof could easily be modified to show that there are an infinite set of
> millions, why not all the other number bigger than 70 millions?
integers K>0, such that, for each K in the set, there are an infinite set of primes P
with P+K simultaneously prime.
Zhang's present proof creates a set S of integers within [2, 70000000]
and proves that are an infinity of N such that N+S contains at least two primes.
Instead create a finite set T of integers with all gaps between set members >70000000
then prove there are an infinity of N such that N+T contains at least two primes...
then continue on, each set having min-gaps > the previous set's max-element.
This might be a good project for anybody trying to understand the Zhang proof.
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