A 21 May 2026 DeepMind preprint reports formal proofs for nine of 353 Erdős problem instances and 44 of 492 OEIS conjectures, plus research collaborations. Its Gemini-led agents publish Lean artifacts; independent records distinguish full, partial, and variant results.
Current score
+4.29
10 base · Major (tier 3 of 5, 10 pts)
× 0.7950 attribution · Primary causal contribution
× 0.6000 evidence · Peer review or substantial independent validation
× 0.9000 realization · Manuscript plus machine-verifiable formalization
× 1.0000 durability · Effectively permanent
Event-level product before credit split: 4.29
This is a substantial cross-domain corpus of formal research proofs, including open Erdős instances and dozens of sequence conjectures, but the aggregate does not establish a set of landmark theorems: the nine Erdős results include variants and partial progress, one has comparable prior literature, and broader novelty review remains incomplete. Score the body of work as Major (tier 3, base 10), not Historic. Evidence 0.60 reflects a detailed preprint, public checkable Lean artifacts, and limited independent catalogue corroboration; it does not establish peer review or universal novelty. Realization 0.90 reflects published machine-verifiable proofs; correct mathematical knowledge is permanent (durability 1.00). Editorial AI credit shares are 0.85 Gemini 3.1 Pro, 0.10 AlphaProof, and 0.05 Gemini 3.0 Flash, with causal attribution 0.90, 0.25, and 0.10 respectively. These shares are estimates, not measured author-supplied percentages. Weighted attribution is 0.795; contributions sum to 10 × 0.60 × 0.90 × (0.90 × 0.85 + 0.25 × 0.10 + 0.10 × 0.05) = 4.2930 points. Human formalization, validation, and existing literature limit AI attribution. No additional credit is awarded for reproducing the same proofs in ablations.
What happened
Google DeepMind’s AlphaProof Nexus combines Gemini 3.1 Pro proof search, Lean feedback, optional AlphaProof subgoal solving, and Gemini 3.0 Flash sketch rating. The paper reports nine solved Erdős instances and 44 OEIS conjectures, with public Lean proofs and selected prose proofs. Human researchers provided formal statements and reviewed their correspondence to the intended questions. Additional collaborations cover optimization, algebraic geometry, graph theory, additive combinatorics, and quantum optics.
The nine Erdős instances are #12(i), #12(ii), #125, a #138 variant, #152, #741(i), #741(ii), #846, and a strengthened #26 variant; they are not nine distinct catalogue numbers. The independent AI-contributions wiki records #125 and #741 as full resolutions, #138 and #12 as partial progress, and prior comparable literature for #152. Its data stops on 30 June 2026 and it explicitly disclaims a definitive assessment. The general graph reconstruction conjecture remains open.
This single aggregate event remains provisional pending broader novelty and statement review. Public formal artifacts support mathematical realization, but this ingestion does not independently rebuild them. The simpler Gemini-plus-Lean agent reproduced the nine Erdős successes in the authors’ ablation; benchmark reruns receive no additional discovery credit. This corpus is separate from the February Aletheia event already recorded.
