Skip to content

Erdős problem 141

Let k≥3k≥3. Are there kk consecutive primes in arithmetic progression?

Sources

The source's own material, retained exactly.

7 retained statements36c6d0fef71a

Open selected source

FormalConjectures/ErdosProblems/

141.lean

Retained formal statement4 of 7

Fix a k≥3k \geq 3. Is it true that there are infinitely many arithmetic prime progressions of length kk?

FormalConjectures/ErdosProblems/141.leanErdos141.erdos_141.variants.infinite_general_case1 lineExact file
sorry ↔ ∀ k ≥ 3, (Erdos141.consecutivePrimeArithmeticProgressions k).Infinite
OpenStatement only, no proof