imo-v1 / imo2021p1

imo2021p1

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal imo2021p1

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/imo2021p1.lean

import Mathlib

theorem imo2021p1 {n : ℕ} (hn : 100 ≤ n) {S : Finset ℕ} (hS : S ⊆ Finset.Icc n (2 * n)) :
    (∃ a ∈ S, ∃ b ∈ S, a ≠ b ∧ IsSquare (a + b)) ∨
    (∃ a ∈ Finset.Icc n (2 * n) \ S, ∃ b ∈ Finset.Icc n (2 * n) \ S,
      a ≠ b ∧ IsSquare (a + b)) := by
  sorry

Runs (0)

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