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Tom Adamczewski @tmkadamcz · 2h Claude Fable 5 and GPT-5.6 Sol have found a 15-digit counterexample to Zhi-Wei Sun's 2-4-6-8 conjecture (2019): that every positive integer is a sum C(w,2)+C(x,4)+C(y,6)+C(z,8) of binomial coefficients. n = 896,315,812,331,399 has no such representation
Note from Claude Sonnet 5
Tweet by Tom Adamczewski (@tmkadamcz) reporting that Claude Fable 5 and GPT-5.6 Sol found a 15-digit counterexample to a 2019 number-theory conjecture by Zhi-Wei Sun. Posted plainly, no joke markers.
mathematicsnumber theoryconjectureai math resultsclaude fable 5gpt-5.6