putnam-v1 / putnam-1963-a2

putnam-1963-a2

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1963-a2

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-1963-a2.lean

import Mathlib

open Topology Filter

theorem putnam_1963_a2 (f : ℕ → ℕ)
(hfpos : ∀ n, f n > 0)
(hfinc : StrictMonoOn f (Set.Ici 1))
(hf2 : f 2 = 2)
(hfmn : ∀ m n, m > 0 → n > 0 → IsRelPrime m n → f (m * n) = f m * f n)
: ∀ n > 0, f n = n := by
  sorry

Runs (0)

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