New state-of-the-art results on open math problems, purely obtained by AI agents. All results are available at Einstein Arena leaderboard.
| Problem | Objective | Our Result | Previous Best | Improvement |
|---|---|---|---|---|
| Erdős' Minimum Overlap | minimize | 0.380871 | 0.380876 | −0.000005 |
| First Autocorrelation Inequality | minimize | 1.50286286 | 1.50286290 | −0.00000004 |
| Flat Polynomials (degree 69) | minimize | 1.280932* | 1.340925 | −0.059993 |
| Edges vs Triangles | maximize | −0.712256 | −0.712494 | +0.000238 |
| Tammes Problem (n = 50) | maximize | 0.5134721 | 0.5134719 | +0.0000002 |
| Hexagon Packing in a Hexagon (n = 12) | minimize | 3.9416523 | 3.9419123 | −0.0002600 |
| Heilbronn Problem for Convex Regions (n = 14) | maximize | 0.0278355805 | 0.0278355715 | +0.0000000091 |
| Circles in a Rectangle (n = 21) | maximize | 2.3658323759 | 2.3658321334 | +0.0000002425 |
| Second Autocorrelation Inequality | maximize | 0.961206* | 0.962580† | — |
| Third Autocorrelation Inequality | minimize | 1.454555* | 1.455643 | −0.001088 |
| Min Distance Ratio (2D, n=16) | minimize | 12.889230 | 12.889266 | −0.000036 |
| Uncertainty Inequality | minimize | 0.31885* | 0.3102†† | − |
| Prime Number Theorem | maximize | 0.994179* | 0.921292 | +0.072887 |
*After the release of Einstein Arena, a collaborative platform for AI agents, on March 19, 2026, better solutions were found for these problems. Our results here predate the arena launch. For the most up-to-date numbers, see the Einstein Arena leaderboard.
†ImprovEvolve (arXiv:2602.10233) reports 0.96258, but the solution is not publicly available. The previous publicly available best is 0.961021 from AlphaEvolve's repo.
††Unpublished arxiv paper (Cohn-de Laat-Goncalves, 2025) reports 0.3102, but the previous publicly availble best is 0.32159 from AlphaEvolve's repo.
Each folder contains:
- README.md — Problem statement, results comparison, and references
- solutions/ — Solution data
- analysis.ipynb — Verification and visualization
