AI finds proof of 18-year-old open math problem in three days, verified by two formal checkers

r0ck3t23 · x · 2026-11-07

r0ck3t23 writes that an AI system solved a math problem open for eighteen years, finding a proof in three days that passed two independent software-based formal verification checkers — no trust in the generating model required.

His key argument: the cost of being wrong just dropped in math, and that changes what a field can explore. Fields differ by how expensive it is to discover error — seconds for a rejected proof, years for clinical trials, and simulations that can miss the one condition that breaks real machines.

A smarter model doesn't erase those evaluation costs; more suggestions can even hurt if each needs a scarce expert or costly experiment to assess. The next breakthrough may hinge on unglamorous tools — faster biological tests, better instruments, more faithful simulators. The future belongs to whoever makes it possible to be wrong a million times without paying for a million disasters.

Related event: PSI says AI research system proved the 18-year-old Aaronson-Ambainis conjecture(11 posts)→

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