imo-v1 / imo2022p5

imo2022p5

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal imo2022p5

What it runs

The Lean statement the swarm must prove — kernel-verified at Gate A. The trailing sorry is the open obligation a proof replaces.

goals/imo2022p5.lean

import Mathlib

open scoped Nat
def answer : Set (ℕ × ℕ × ℕ) := sorry

theorem imo2022p5 : {(a, b, p) | 0 < a ∧ 0 < b ∧ 0 < p ∧ Nat.Prime p ∧ a ^ p = b ! + p} = answer := by
  sorry

Runs (0)

No runs recorded for this suite yet — they appear here as the swarm attempts the benchmarks.