putnam-v1 / putnam-1964-b1

putnam-1964-b1

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1964-b1

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-1964-b1.lean

import Mathlib

open Set Function Filter Topology

theorem putnam_1964_b1 (a b : ℕ → ℕ)
    (h : ∀ n, 0 < a n)
    (h' : Summable fun n ↦ (1 : ℝ) / a n)
    (h'' : ∀ n, b n = {k | a k ≤ n}.ncard) :
    Tendsto (fun n ↦ (b n : ℝ) / n) atTop (𝓝 0) := by
  sorry

Runs (0)

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