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Erdős problem 932

Let pkp_k denote the kkth prime. For infinitely many rr there are at least two integers pr<n<pr+1p_r < n < p_{r+1} all of whose prime factors are <pr+1pr< p_{r + 1} - p_r.

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Retained declaration

FormalConjectures/ErdosProblems/932.lean

Formal Conjectures

FormalConjectures/ErdosProblems/932.leanErdos932.erdos_9324 linesExact file
{r |    2 ≤      {mFinset.Ioo (Nat.nth Nat.Prime r) (Nat.nth Nat.Prime r.succ) |          m.maxPrimeFac < Nat.nth Nat.Prime r.succ - Nat.nth Nat.Prime r}.card}.Infinite
OpenStatement only, no proof

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