2026-07-31: We have expanded the benchmark to 50 problems. We have also removed two problems from the benchmark, one about finding a surface with a high number of singularities and the other about finding an algorithm to decide whether a knot has unknotting number equal to 1. This was because we determined that the verifiers for these problems would not detect correct solutions with high enough fidelity.

We also removed the Ramsey-style hypergraph problem from the benchmark. Here we determined that, in hindsight, the problem did not meet our minimum bar for notability.

2026-06-27: We have stopped displaying failed AI attempts on the website. Problem pages will continue to be updated to reflect notable partial progress and solutions. We also modified the prompt for the problem about finding a surface with a high number of singularities. The verifier for this problem needs to be modified before it can handle what was described as Method C.

2026-03-05: We removed one problem from the benchmark, as we have determined that any solution would not meet our bar of being a publishable result in its own right. The problem page remains up: see it for more info on an AI-generated solution and subsequent human elaboration.

2026-02-24: We added two problems to the benchmark: finding a Hadamard matrix of order 668 and proving that certain “small” Diophantine equations have infinitely many solutions..

Problems in FrontierMath: Open Problems are designed so that, even though no solution is known today, potential solutions can be checked for accuracy by a bespoke computer program, which we call a verifier.

Access to the verifiers is available for purchase by any party. Proceeds help fund the expansion of the benchmark. Our main cost is compensation to mathematicians, as the problems and verifiers are labor-intensive to formulate and implement.

At present, OpenAI is the only entity to have purchased access to the verifiers. OpenAI funded the creation of the original FrontierMath: Tiers 1-4, but Open Problems is developed independently and owned solely by Epoch.

Contact us with inquiries about purchasing access to the verifiers.