Quote:
Originally Posted by Hugo1177

It is known that there are infinite prime numbers with separation n for an even number <= 246, but
we don't known what this n is!!! (like that, we know that at least one of zeta(5), zeta(7), zeta(9), and zeta(11) is irrational, but we don't known which number is irrational)
Also, there is no infinite (at most one pair) prime numbers with separation n when n is odd!!!