Formal target: Corpus.WikipediaSelfridge.selfridge_conjecture
**PSW conjecture** (Selfridge's test) Let $p$ be an odd number, with $p \equiv \pm 2 \pmod{5}$, $2^{p-1} \equiv 1 \pmod{p}$ and $F_{p+1} \equiv 0 \pmod{p}$, then $p$ is a prime number.
Exact formal statement
∀ (p : Nat), Corpus.WikipediaSelfridge.IsSelfridge p → Nat.Prime pThis target is a formal statement, not a proof of the problem.
Environment availability: available.