putnam-v1 / putnam-1966-a4

putnam-1966-a4

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1966-a4

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-a4.lean

import Mathlib

open Topology Filter

theorem putnam_1966_a4 (a : ℕ → ℤ)
(ha1 : a 1 = 2)
(hai : ∀ n ≥ 1, a (n + 1) = (if ∃ m : ℤ, m^2 = a n + 1 = True then a n + 2 else a n + 1))
: ∀ n ≥ 1, a n = n + round (Real.sqrt n) := by
  sorry

Runs (0)

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