Skip to content

Erdős problem 945

Is it true that F(x)≤(log⁡x)O(1)F(x) \leq (\log x)^{O(1)}?

Sources

The source's own material, retained exactly.

5 retained statements36c6d0fef71a

Open selected source

FormalConjectures/ErdosProblems/

945.lean

Retained formal statement2 of 5

Is there a constant C>0C > 0 such that, for all large xx, every interval [x,x+(log⁡x)C][x, x+(\log x)C] contains two integers with the same number of divisors?

FormalConjectures/ErdosProblems/945.leanErdos945.erdos_945.variants.constant1 lineExact file
True ↔ Erdos945.Erdos945Constant
OpenStatement only, no proof