finding record / formal-conjectures
recordedvf_b8e3badb634a19a0
vf_b8e3badb634a19a0
The Lean 4 theorem `Erdos1054.f_undefined_at_2` — f 2 = 0 — for the Erdős-1054 function f(n) = least m such that n is a sum of the k smallest divisors of m (some k ≥ 1), f is UNDEFINED at n=2 (junk value 0). Proof: any such sum is 1 + R where the i=0 term is the least divisor 1 and every other term is 0 or a strictly larger divisor (≥ 2), so the sum is never 2. — is formally proven and kernel-verified in formal-conjectures (zero `sorry`, no extra axioms). Verifier: lean4-kernel + Mathlib v4.27.0 (lake build green; `#print axioms` = [propext, Classical.choice, Quot.sound] only — NO sorryAx).
Notation is rendered from the stored source. The pinned checkout remains the exact record.
- model_output
- theoretical
- 1 spans
- recorded
Agent-imported candidate claim; scope requires review.
- cap_6fcdb44f3a2ff0c6 · vc_c0bc8dce9a810f0b
- model_output
- Jun 3, 2026, 12:00 PM
- not recorded
- 1
Exact record identityFinding ID, frontier identity, and pinned Git source
- vf_b8e3badb634a19a0
- vfr_97d7d25957384f80
- 2705e4db4ffb9987c53388c8a89c1450c63afdf8
- a24f2c67b52a5b3c9163438243b95351bbc8e296
Exact source and rootsGit 2705e4db4ffb and content-addressed ledgers
Source identity
- Commit
- 2705e4db4ffb9987c53388c8a89c1450c63afdf8
- Tree
- a24f2c67b52a5b3c9163438243b95351bbc8e296
- Committed
- 2026-07-19T05:13:20Z
- Repository
- Open source
Content roots
- Event log
- sha256:c4a00883ab7468dcce59c368b81fd09e45366b21af8e34979d7a639d73a8d32c
- Snapshot
- sha256:45fa712bd6d9a8d4c8514a7cba107e7f814f2c1368805abd577e762ccb6123a4
- Proposals
- sha256:ba47ddf5c16ed567ddf835385066e3fc294b447bc0eabd3f9820f5e707efb39e
- Actor registry
- sha256:f52d59b1db885f467c66a29335ada68544a09da5f3869723461100eed0aac79e
- Artifacts
- sha256:fbd7e05b185cd06bc06484e8b0216c17c5263a71d8481ca38e574e9b2c5156d8