Erdős problem 1056 · problems.science

Let $k ≥ 2$ . Does there exist a prime $p$ and consecutive intervals $I_0,\dots,I_k$ such that $\prod\limits_{n{\in}I_i}n \equiv 1 \mod n$ for all $1 \le i \le k$ ?

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4 retained statements2415f78e850a

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FormalConjectures/ErdosProblems/

1056.lean

Retained formal statement2 of 4

This is problem A15 in Guy's collection [Gu04], where he reports that in a letter in 1979 Erdős observed that $3 * 4 \equiv 5 * 6 * 7 \equiv 1 \mod 11$ .

FormalConjectures/ErdosProblems/1056.leanErdos1056.erdos_1056.variants.k21 lineExact file

1Erdos1056.AllModProdEqualsOne 11 ![3, 5, 8]

TextbookStatement only, no proof

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