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In Our Time · October 25, 2012 · 42m

Fermat's Last Theorem

Bragg and mathematicians discuss Fermat's Last Theorem, the 358-year quest to prove it, and Andrew Wiles' dramatic proof in 1995. The episode explores how a margin note became the most famous unsolved problem in mathematics.

This summary was generated from show notes and public descriptions, not from a full transcript review. Details may contain inaccuracies.

Canon

Wiles deliberately withdrew from the mathematical community for seven years to work on Fermat's Last Theorem in secret, knowing that public attention would disrupt the deep focus required. His process exemplifies the relationship between environment and creative output.

Highlights

Fermat's Last Theorem shows that simplicity of statement bears no relation to difficulty of proof
The theorem is easily stated: no three positive integers a, b, and c can satisfy the equation a^n + b^n = c^n for any integer n greater than 2. A child can understand the claim. Yet proving it required 358 years and the most sophisticated mathematics ever created.
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