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AI-generated proof claimed for a positive proportion of numbers returning to 1 under Collatz

A post says Lech Mazur claimed the proof on September 6 and that it was formalized in Lean. The poster says he had AI check the formalization and thinks it is right, but is still working through the math.

2 Sources, 11d ago, first seen 11d ago

TLDR

A September 28 post says Lech Mazur claimed an AI-generated, Lean-formalized proof that a positive proportion of numbers return to 1 under Collatz. The poster says he had AI examine the Lean and thinks it is right, though he is still trying to understand the math. He also says Naoufal El Jaouhari told him his AI had formalized the same proof for 3x-1, building on Mazur’s work.

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2 Sources, first seen 11d ago

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2 Sources, first seen 11d ago

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2 Sources

Alex Kontorovich@AlexKontorovichSept 4 (Friday of Labor Day weekend): FLT formalization announced by Anthropic Sept 7/8: Tristan+Levent -> OpenAI announce Navier-Stokes But somehow amidst all the commotion, we all seemed to have missed the following (!!!). Sept 6: Lech Mazur claims an AI-generated proof that a positive proportion of numbers go back to 1 under Collatz!! And it's Lean-formalized. I went through the Lean (or rather, had my AI do it) and I think it's right. Now I'm trying to make sense of the math (doesn't look like anything is too hard, just a lot of arguments, building on top of Terry's earlier work). Naoufal El Jaouhari, an Applied Maths Engineer based in Paris, wrote to me a few days ago that he'd gotten his AI to formalize the same proof for 3x-1 building on Mazur, which led me to look at Mazur. Now I'm working on a "digestion" of all of this. Weird wild stuff!!11d
Aran Nayebi@aran_nayebiRT @AlexKontorovich: Sept 4 (Friday of Labor Day weekend): FLT formalization announced by Anthropic Sept 7/8: Tristan+Levent -> OpenAI ann…11d
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    2 Sources

    Alex Kontorovich@AlexKontorovichSept 4 (Friday of Labor Day weekend): FLT formalization announced by Anthropic Sept 7/8: Tristan+Levent -> OpenAI announce Navier-Stokes But somehow amidst all the commotion, we all seemed to have missed the following (!!!). Sept 6: Lech Mazur claims an AI-generated proof that a positive proportion of numbers go back to 1 under Collatz!! And it's Lean-formalized. I went through the Lean (or rather, had my AI do it) and I think it's right. Now I'm trying to make sense of the math (doesn't look like anything is too hard, just a lot of arguments, building on top of Terry's earlier work). Naoufal El Jaouhari, an Applied Maths Engineer based in Paris, wrote to me a few days ago that he'd gotten his AI to formalize the same proof for 3x-1 building on Mazur, which led me to look at Mazur. Now I'm working on a "digestion" of all of this. Weird wild stuff!!11d
    Aran Nayebi@aran_nayebiRT @AlexKontorovich: Sept 4 (Friday of Labor Day weekend): FLT formalization announced by Anthropic Sept 7/8: Tristan+Levent -> OpenAI ann…11d
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