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Erdős problem 421

Is there a sequence 1d1<d2<1 \le d_1 < d_2 < \dots with density 1 such that all products uivdi\prod_{u \le i \le v} d_i are distinct?

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Retained declaration

FormalConjectures/ErdosProblems/421.lean

Formal Conjectures

FormalConjectures/ErdosProblems/421.leanErdos421.erdos_42110 linesExact file
Trued,    StrictMono d      1 ≤ d 0 ∧        (Set.range d).HasDensity 1 ∧          Set.InjOn            (fun x =>              match x with              | (u, v) => ∏ iFinset.Icc u v, d i)            {(u, v) | uv}
OpenStatement only, no proof

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