Claude's failed Riemann hypothesis attempt led a mathematician to a breakthrough
Anthropic's Claude failed to prove the Riemann hypothesis but showed that at least 67.25% of the zeta function's zeros lie on the critical line, up from 40% known since 1989. Mathematician Youness Lamzouri of the University of Lorraine confirmed the result with a simpler approach and proved that at most 11% of zeros are neither simple nor on the line.
- Claude raised the bound on zeros on the critical line from 40% to 67.25%
- Lamzouri reproduced the 67.25% result with a simpler, more intuitive proof
- He also proved at most 11% of zeros are neither simple nor on the line
- The result does not advance a proof of the Riemann hypothesis itself
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