Claude and GPT find 15-digit counterexample to Zhi-Wei Sun's 2-4-6-8 conjecture

soumitrashukla9 · x · 2026-08-25

According to the tweet, Claude Fable 5 and GPT-5.6 Sol have found a 15-digit counterexample to Zhi-Wei Sun's 2019 2-4-6-8 conjecture—that every positive integer is a sum C(w,2)+C(x,4)+C(y,6)+C(z,8) of binomial coefficients. The counterexample: n = 896,315,812,331,399 has no such representation. Not yet peer-verified.

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