Skip to content

Erdős problem 427

Start work

Erdős Problem 427: is it true that, for every nn and dd, there exists kk such that d∣pn+1+⋯+pn+k, d \mid p_{n + 1} + \cdots + p_{n + k}, where prp_r denotes the rrth prime?

Sources

The source's own material, retained exactly.

3 retained statements36c6d0fef71a

Open selected source

FormalConjectures/ErdosProblems/

427.lean

Retained formal statement2 of 3

Cedric Pilatte has observed that a positive solution to Erdős Problem 427 follows from Shiu's theorem.

FormalConjectures/ErdosProblems/427.leanErdos427.erdos_427.variants.of_shiu1 lineExact file
Erdos427.ShiuTheorem → Erdos427.erdos427
SolvedStatement only, no proof