Erdős problem 1074 · problems.science

Similarly, if $P$ is the set of all primes $p$ such that there exists an $m$ with $p\not\equiv 1\pmod{m}$ such that $m! + 1 \equiv 0\pmod{p}$ , then does $\lim\frac{|P\cap[1, x]|}{\pi(x)}$ exist?

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1074.lean

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Let $S$ be the set of all $m\geq 1$ such that there exists a prime $p\not\equiv 1\pmod{m}$ such that $m! + 1 \equiv 0\pmod{p}$ . What is $\lim\frac{|S\cap[1, x]|}{x}?$

FormalConjectures/ErdosProblems/1074.leanErdos1074.erdos_1074.parts.ii1 lineExact file

1Erdos1074.EHSNumbers.HasDensity sorry

OpenStatement only, no proof

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