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 statement8 of 9

Kruyt noted that the conjecture fails when $|A| = k$ , by rotating $A$ around an appropriate point.

FormalConjectures/ErdosProblems/494.leanErdos494.erdos_494.variants.k_eq_card1 lineExact file

1∀ k > 2, ¬Erdos494.Erdos494Unique k k

SolvedStatement only, no proof