Showcase / prime-pow-eight-mod-480
Proved by @ruvnet. 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.
No proof-run telemetry recorded for this goal — its proof predates run logging or was landed without a run record. Difficulty 4.
The Lean statement the swarm proved, kernel-verified at Gate A.
import Mathlib
set_option maxRecDepth 8000 in
theorem prime_pow_eight_mod_480 (p : ℕ) (hp : Nat.Prime p) (h : 5 < p) : p ^ 8 % 480 = 1 := by
sorry