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Erdős problem 242

For every n>2n>2 there exist distinct integers 1x<y<z1 ≤ x < y < z such that 4n=1x+1y+1z\frac 4 n = \frac 1 x + \frac 1 y + \frac 1 z.

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242.lean

Retained formal statement1 of 2

For every n>2n>2 there exist distinct integers 1x<y<z1 ≤ x < y < z such that 4n=1x+1y+1z\frac 4 n = \frac 1 x + \frac 1 y + \frac 1 z.

FormalConjectures/ErdosProblems/242.leanErdos242.erdos_2421 lineExact file
∀ (n : ℕ), 2 < n → ∃ x y z, 1 ≤ xx < yy < z ∧ 4 / ↑n = 1 / ↑x + 1 / ↑y + 1 / ↑z
OpenStatement only, no proof

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