GPT-5.6 reportedly solves Feige’s 1/e conjecture in probability
PMinervini · x · 2026-07-28
A researcher says a friend used GPT-5.6 to solve Feige’s $1/e$ conjecture, a well-known probability problem.
The conjecture concerns independent nonnegative random variables $X1, \dots, Xn$ with $\mathbb{E}[Xi] \le 1$, where $Sn = X1 + \cdots + Xn$. The claim is:
$$P(Sn \le \mathbb{E}[Sn] + 1) \ge 1/e$$
The poster describes it as a beautiful long-running problem that the group used to discuss over lunch and dinner.
Related event: GPT-5.6 Reportedly Assists in Proving Long-Standing Feige's Conjecture(4 posts)→
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