Erdős problem 494

Selfridge and Straus [SeSt58] also showed that the conjecture is true when 1) $k = 3$ and $|A| > 6$ or 2) $k = 4$ and $|A| > 12$ . More generally, they proved that $A$ is determined by $A_k$ (and $|A|$ ) if $|A|$ is divisible by a prime greater than $k$ .

Sources

The source's own material, retained exactly.

9 retained statements36c6d0fef71a

FormalConjectures/ErdosProblems/

494.lean

Retained formal statement5 of 9

Selfridge and Straus [SeSt58] gave counterexamples to the conjecture when $k = 2$ and $|A| = 2^l$ .

FormalConjectures/ErdosProblems/494.leanErdos494.erdos_494.variants.k_eq_2_card_pow_two1 lineExact file

1∀ (card : ℕ), (∃ l, card = 2 ^ l) → ¬Erdos494.Erdos494Unique 2 card

SolvedStatement only, no proof