minif2f-v1 / amc12a-2002-p21

amc12a-2002-p21

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal amc12a-2002-p21

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/amc12a-2002-p21.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem amc12a_2002_p21 (u : ℕ → ℕ) (h₀ : u 0 = 4) (h₁ : u 1 = 7)
    (h₂ : ∀ n ≥ 2, u (n + 2) = (u n + u (n + 1)) % 10) :
    ∀ n, (∑ k ∈ Finset.range n, u k) > 10000 → 1999 ≤ n := by
  sorry

Runs (0)

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