Re: This is true, isn't it?
- --- In firstname.lastname@example.org, Jud McCranie <j.mccranie@a...> wrote:
> This is true, isn't it?between
> For every epsilon > 0, let x = 1+epsilon. There is always a prime
> x^n and x^(n+1) for all n>m, where m depends on epsilon.Yes it's true. More standard short interval prime results show
existence of primes in intervals [x,x^(1-epsilon)], for small epsilon
and all sufficiently large x.
Taking epsilon the same in both statements, yours is true provided that
which is pretty huge, at least for small epsilon.