Erdős problem 318 · problems.science

There exists a set A with positive density that does not have property P₁. #TODO: prove this lemma by assuming erdos_318.contain_single_even.

Sources

Browse retained paths and inspect the exact material available for this Problem.

7 retained statements2415f78e850a

FormalConjectures/ErdosProblems/

318.lean

Retained formal statement4 of 7

Every infinite arithmetic progression has property P₁. This is proved in [Sa82b].

FormalConjectures/ErdosProblems/318.leanErdos318.erdos_318.variants.infinite_AP1 lineExact file

1∀ {A : Set ℕ}, A.IsAPOfLength ⊤ → Erdos318.P₁ A

SolvedStatement only, no proof