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Erdős problem 1056

Let k2k ≥ 2. Does there exist a prime pp and consecutive intervals I0,,IkI_0,\dots,I_k such that nIin1modn\prod\limits_{n{\in}I_i}n \equiv 1 \mod n for all 1ik1 \le i \le k?

No current result

No reviewed Result is current in Vela Mathematics Program. Retained source material is shown below.

Retained declaration

FormalConjectures/ErdosProblems/1056.lean

Formal Conjectures

FormalConjectures/ErdosProblems/1056.leanErdos1056.erdos_10563 linesExact file
Truek ≥ 2,p, ∃ (_ : Nat.Prime p), ∃ boundaries, ∃ (_ : StrictMono boundaries), Erdos1056.AllModProdEqualsOne p boundaries
OpenStatement only, no proof

Proof manifests naming this Problem

  • PLBY Lean proofsErdosProblems.Erdos1056b

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