Mathematicians Find GPT-5 Makes Critical Errors in Original Proof Generation

University of Luxembourg mathematicians tested whether GPT-5 could extend a qualitative fourth-moment theorem to include explicit convergence rates, a previously unaddressed problem in the Malliavin-Stein framework. The September 2025 experiment, prompted by claims GPT-5 solved a convex optimization problem, revealed the AI made critical errors requiring constant human correction. GPT-5 overlooked an essential covariance property easily deducible from provided documents. The researchers compared the experience to working with a junior assistant needing careful verification. They warned AI reliance during doctoral training risks students losing opportunities to develop fundamental mathematical skills through mistakes and exploration.

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