Problem Statement
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 $>c_2$?
Categories:
Number Theory Primes
Progress
This is well-known if $c_1$ is sufficiently small.Source: erdosproblems.com/238 | Last verified: January 14, 2026