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Let $c_1,c_2>0$. Is it true that, for any sufficiently large $x$, there exist more than $c_1\log x$ many consecutive primes $\leq x$ such that the difference between any two is $>c_2$?
#238
:
[Er55c]
number theory
,
primes
This is well-known if $c_1$ is sufficiently small.
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