Learning more about Claude's mathematical capabilities \ Anthropic
An unreleased version of Claude has made strides on a problem related to the Riemann hypothesis. It improved the lower bound for the fraction of zeros of the Riemann zeta function that satisfy the hypothesis, increasing it from 41.6% to 67.2%.
Recently, a member of staff at Anthropic gave Claude an unreasonable challenge. It was about one of the most famous unsolved problems in mathematics: Take a real stab at the Riemann hypothesis. Claude did take a real stab, but as you might have expected if you’re familiar with the difficulty of the task (the Riemann hypothesis dates back to 1859 and has a million-dollar bounty), it didn’t succeed. Nevertheless, during its attempt, it unexpectedly made strides on a related problem. An unreleased research version of Claude has improved on a longstanding lower bound for the fraction of zeros…
saved by
related reading
- What's new | Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence Taoterrytao.wordpress.com
- The Riemann Hypothesis: Past, Present and a Letter Through Timearxiv.org
- Yitang Zhang’s Pursuit of Beauty in Math | The New Yorkernewyorker.com
- AI.pdfmath.brown.edu
- Knowledge Collapse - Boston Reviewbostonreview.net
- An OpenAI model has disproved a central conjecture in discrete geometry | OpenAIopenai.com
- Formalizing Fermat's Last Theoremanthropic.com
- Mathematics in the Library of Babel - Daniel Littdaniellitt.com
- The Riemann hypothesis (or, how to earn $1 million)hidden-phenomena.com
- As Rocks May Think | Eric Jangevjang.com
- Mills’ Constantarxiv.org
- Computational Complexityblog.computationalcomplexity.org