AI × SCIENCE · OPEN PROBLEMS

Unknown, Q.E.D.

Quod erat demonstrandum.

Tracking every scientific problem solved by AI. Each record states how complete the result is, how it was verified and where it came from, and anyone can annotate or challenge it.

Grades

SolvedAI found, or led the way to, a complete and new solution.
PartialAn improved bound, a new construction or a special case; the problem stays open.
Prior artThe “new” solution AI produced was already in the literature.
UnverifiedClaimed publicly but not yet independently checked.

Problems

Newest first · 1 of 262 records
  1. 2025-05Computer science · Algorithms
    4×4 complex matrix multiplication: AlphaEvolve finds a 48-multiplication algorithmAlphaEvolve found an algorithm that multiplies 4×4 complex matrices with 48 scalar multiplications, one fewer than the 49 needed by applying Strassen's method recursively.AlphaEvolve (Google DeepMind)✓ Can be checked directly0 notes
    Partial