Skip to content

Erdős problem 972

Erdős problem 972. Let α>1\alpha > 1 be irrational. Are there infinitely many primes pp such that ⌊pα⌋\lfloor p\alpha \rfloor is also prime?

Sources

The source's own material, retained exactly.

1 retained statement36c6d0fef71a

Open selected source

FormalConjectures/ErdosProblems/

972.lean

Retained formal statement1 of 1

Erdős problem 972. Let α>1\alpha > 1 be irrational. Are there infinitely many primes pp such that ⌊pα⌋\lfloor p\alpha \rfloor is also prime?

FormalConjectures/ErdosProblems/972.leanErdos972.erdos_9721 lineExact file
True ↔ ∀ α > 1, Irrational α → (Erdos972.primeSet α).Infinite
OpenStatement only, no proof