Learning more about Claude's mathematical capabilities
Anthropic researchers challenged their AI model, Claude, to address the Riemann hypothesis, a famous unsolved mathematical problem. While the model did not solve the hypothesis, it successfully improved a lower bound for the Riemann zeta function, a result validated by human mathematicians.
Why it matters
This demonstrates the rapidly evolving mathematical reasoning capabilities of large language models and their potential utility in scientific research.
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 of the Riemann zeta function that satisfy the Riemann hypothesis. Drawing on extensive prior research by mathematicians over the past decades, it has increased this bound from 41.6% to 67.2%.
Get smarter about the news
Sign up free for a feed built around what you actually care about, Dive Deeper research on any story, and the full text of every article.
Create free accountAlready have an account? Sign in