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Erdős problem 386

There is a kk, such that 2kn22 \le k \le n - 2 and (nk)\binom{n}{k} can be the product of consecutive primes infinitely often?

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Retained declaration

FormalConjectures/ErdosProblems/386.lean

Formal Conjectures

FormalConjectures/ErdosProblems/386.leanErdos386.erdos_3861 lineExact file
True ↔ ∃ k ≥ 2, ∃ᶠ (n : ℕ) in Filter.atTop, kn - 2 ∧ ∃ p q, n.choose k = ∏ iFinset.Ico p q, Nat.nth Nat.Prime i
OpenStatement only, no proof

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