Erdős problem 4

Is it true that, for any $C > 0$ , there infinitely many $n$ such that: $p_{n + 1} - p_n > C \frac{\log\log n\log\log\log\log n}{(\log\log\log n) ^ 2}\log n$

Sources

The source's own material, retained exactly.

2 retained statements36c6d0fef71a

FormalConjectures/ErdosProblems/

4.lean

Retained formal statement1 of 2

Is it true that, for any $C > 0$ , there infinitely many $n$ such that: $p_{n + 1} - p_n > C \frac{\log\log n\log\log\log\log n}{(\log\log\log n) ^ 2}\log n$

FormalConjectures/ErdosProblems/4.leanErdos4.erdos_41 lineExact file

1True ↔ ∀ C > 0, Erdos4.Erdos4For C

SolvedStatement only, no proof