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This article focuses on the competitive dynamics between human researchers and OpenAI regarding the Navier-Stokes existence and smoothness problem, specifically highlighting the use of AI models (Codex and Claude) in mathematical proof discovery. The core narrative examines whether OpenAI leveraged its computational advantage to preempt a breakthrough achieved by an academic team after becoming aware of their progress. This incident raises significant questions about the ethics of compute-intensive AI research in fundamental mathematics and the boundaries of fair competition in scientific discovery.

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OpenAI fought dirty on career-making math problem, says NYU mathematician

TechCrunchSeptember 8, 20264 min read

There is a $1 million bounty for the first person providing a solution to the Navier-Stokes existence and smoothness problem.

NYU mathematics professor Tristan Buckmaster announced three proofs Tuesday with a preliminary finding on one of the major unsolved problems in theoretical mathematics. The findings, made in collaboration with Anthropic mathematician Levent Alpöge and using both Codex and Claude AI models, are significant in themselves — but they’re also accompanied by an unusual controversy surrounding OpenAI’s attempts to solve the same problem. “There is another part of this story,” Buckmaster wrote in his statement announcing the proofs, “and one that, honestly, I very much wish I did…

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