Showcase / prime-fourth-power-mod-240
Proved by @cgbarlow. Kernel-verified at Gate A; no human in the correctness path.
The goal record the swarm was asked to discharge — the source of truth for this proof's identity and difficulty.
The Lean statement the swarm proved, kernel-verified at Gate A.
import Mathlib
theorem prime_fourth_power_mod_240 (p : ℕ) (hp : Nat.Prime p) (h : 5 < p) : p ^ 4 % 240 = 1 := by
sorry