Preprint in the OpenAI Math release

Prime Predecessors with an Even Number of Prime Factors

OpenAI

Abstract

We prove that there are infinitely many primes p for which $p - 1$ is squarefree and has an even number of prime factors. Equivalently, there are infinitely many primes p with $μ (p - 1) = 1$ .

open until 1 Jan 2028

est. 50% chance this result is independently verified by the end of 2027.

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est. 50% chance this result is independently verified by the end of 2027.

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