OpenAI’s Breakthrough On Famed Math Problem Actually Proves That Using AI To Find Counterexamples Is A Smart Strategy For Everyone

InnovationAIOpenAI’s Breakthrough On Famed Math Problem Actually Proves That Using AI To Find Counterexamples Is A Smart Strategy For EveryoneByLance Eliot,Contributor.Forbes contributors publish independent expert analyses and insights. Dr. Lance B. Eliot is a world-renowned AI scientist and consultant.Follow AuthorMay 26, 2026, 03:15am EDTNews about AI math problem raises realization that finding counterexamples can be extremely valuable.gettyIn today’s column, I examine a recently heralded victory by OpenAI in using AI to pursue a longstanding unresolved math problem. Headlines about this accomplishment were proclaiming that AI has become some sort of math genius. The truth is a bit more down-to-earth. Though there is much in the circumstance that merits applause, the mainstay of the effort was not to provide a positive mathematical proof per se, but instead to discover a counterexample that undercuts a prevailing conjecture regarding the solution to the thorny problem. I will explain why this is a beast of a different condition. Noteworthy mathematicians were at first a tad disappointed because they thought the AI had derived a heretofore unreached mathematical proof. This would have put AI over-the-top. The AI was actually utilized to laboriously and deeply search for a means of disproving the existing conjecture of the solution. It’s quite a different direction when seeking to disprove an assertion than when generating a proof on a go-ahead basis.In any case, I doubt many discerned that this was a handy lesson on the myriads of ways to use AI. Rather than always having AI plow forward into a morass, make sure to consider whether you ought to employ AI to tackle a vexing problem from the perspective of discovering make-or-break counterexamples. The advantages can be significant.Let’s talk about it.This analysis of AI breakthroughs is part of my ongoing Forbes column coverage on the latest in AI, including identifying and explaining various impactful AI complexi...