putnam-v1 / putnam-1966-b2

putnam-1966-b2

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1966-b2

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/putnam-1966-b2.lean

import Mathlib

theorem putnam_1966_b2 (S : ℤ → Set ℤ)
(hS : S = fun n : ℤ => {n, n + 1, n + 2, n + 3, n + 4, n + 5, n + 6, n + 7, n + 8, n + 9})
: ∀ n : ℤ, n > 0 → (∃ k ∈ S n, ∀ m ∈ S n, k ≠ m → IsCoprime m k) := by
  sorry

Runs (0)

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