Anthropic's Claude tried to solve the Riemann hypothesis and found something new instead

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The big picture: Prime numbers do not follow a regular pattern, but mathematicians can measure how closely their distribution follows a predictable average. The Riemann zeta function, an infinite mathematical expression, is a key tool in that work because its nontrivial zeros contain information about the distribution of primes. The Riemann hypothesis holds that every one of those zeros lies on a single line in the complex plane, where the real part is 1/2. No one has proved it, including Anthropic's Claude. But in trying to solve the problem, Claude produced a new mathematical result that could advance the study of prime numbers.

The company says an unreleased research version of the model founda new way to show that at least 67.2% of those zeros lie on the critical line, up from...

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