Jarred Sumner on X: "8 days ago, while jogging, I asked Claude to solve the Riemann Hypothesis

It didn’t. 1.5 days later, it proved >= 67% of the zeros are on the line (prev: 41.6%)

Still not sure what that means, but some analytic number theorists seem excited

https://t.co/vN10oM22HI" / X<br>Post

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Jarred Sumner

@jarredsumner

8 days ago, while jogging, I asked Claude to solve the Riemann Hypothesis

It didn’t. 1.5 days later, it proved >= 67% of the zeros are on the line (prev: 41.6%)

Still not sure what that means, but some analytic number theorists seem excited

Learning more about Claude's mathematical capabilities

From anthropic.com

span:not(:empty)~span:not(:empty)]:before:content-['·'] [&>span:not(:empty)~span:not(:empty)]:before:px-1 [&>span:not(:empty)~span:not(:empty)]:before:shrink-0">5:37 PM · Aug 10, 20267.5KViews

16<br>150<br>20

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@jarredsumner

27m

I’d tried once before in a single session and it went nowhere. Eight days ago, when I tried again, this was the opening message:

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@jarredsumner

27m

The heavy lifting was recent human work - Baluyot, Goldston, Suriajaya & Turnage-Butterbaugh, plus a Bombieri paper from 2000. Claude’s contribution was seeing they fit together. Goldston himself looked over the paper. Proof is formalized in Lean.

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@jarredsumner

27m

I’m very much not a mathematician. I dropped out of high school at 16. I took about half of sophomore year geometry before dropping out. I didn’t contribute any math to the paper. I mostly just told Claude variations of “keep going” and “believe in yourself”

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@jarredsumner

27m

If you paste the text below

Sonnet 5 refuses to believe it but can’t say why

Haiku 4.5 admits it doesn’t know

Opus 5 times out after thinking for 17 minutes

THEOREM (unconditional). At least 2/3 of the nontrivial zeros of ζ with T Show more

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@jasondev0

15m

> Jarred's input was mostly limited to sending Claude messages of encouragement (mostly variants of “keep going” or “believe in yourself”)

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Jarred Sumner@jarredsumnerFollow<br>building @bunjavascript at @anthropicai. formerly: @stripe (twice) @thielfellowship. high school dropout. npm i -g bun

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