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Fuck it, I'm fine-tuning Kimi on sequences of the form x -> x/2 if even, x -> 3x+1 if odd, wish me luck.
@pfau Alex Kontorovich has a great thread that I search once in a while that tries to argue it might in fact be false. If he is right, a LM has a better chance than a human.
Unpopular opinion: The 3x+1 Conjecture might be False! Here's why I think this may be the case. (thread) My first paper, with Y. Sinai in 2002, https://arxiv.org/abs/math/0601622 proves that 3x+1 paths are a geometric Brownian motion (in a precise asymptotic sense), with drift log 3/4 < 0