Showcase / prime-pow-six-mod-504
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_six_mod_504 (p : ℕ) (hp : Nat.Prime p) (h : 7 < p) : p ^ 6 % 504 = 1 := by
sorry