Andrew Wiles, with a key gap closed jointly with Richard Taylor, proved Fermat's Last Theorem, publishing the complete argument in the Annals of Mathematics in 1995. The proof works by establishing the modularity of semistable elliptic curves (via the Taniyama-Shimura-Weil conjecture) and connecting it to Fermat's equation through Ribet's theorem, closing a problem first stated by Pierre de Fermat in 1637.
The question, scope, and sources behind this Registry record.
Andrew Wiles, with a key gap closed jointly with Richard Taylor, proved Fermat's Last Theorem, publishing the complete argument in the Annals of Mathematics in 1995. The proof works by establishing the modularity of semistable elliptic curves (via the Taniyama-Shimura-Weil conjecture) and connecting it to Fermat's equation through Ribet's theorem, closing a problem first stated by Pierre de Fermat in 1637.
There are no positive integers a, b, c satisfying a^n + b^n = c^n for any integer value of n greater than 2.
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Current frontiers derived from accepted Claims.
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The frontier as it changed over time.
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1 accepted Claim, with 1 linked evidence records.
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Limits Registry. LR-FERMATS-LAST-THEOREM. Proof of Fermat's Last Theorem. 2026.