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Erdős problem 723

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If there is a finite projective plane of order nn then must nn be a prime power?

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The source's own material, retained exactly.

5 retained statements36c6d0fef71a

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FormalConjectures/ErdosProblems/

723.lean

Retained formal statement4 of 5

This conjecture has been proved for n≤11n \leq 11.

FormalConjectures/ErdosProblems/723.leanErdos723.erdos_723.variants.leq_112 linesExact file
∀ {P L : Type} [inst : Membership P L] [Fintype P] [Fintype L] (pp : Configuration.ProjectivePlane P L),  Configuration.ProjectivePlane.order P L ≤ 11 → IsPrimePow (Configuration.ProjectivePlane.order P L)
SolvedStatement only, no proof