Insights Fermat's Last Theorem

Thread starter fresh_42
Start date May 21, 2025

AI Thread Summary

Fermat's Last Theorem posits that the equation a^n + b^n = c^n has no positive integer solutions for n greater than 2, a claim made by Pierre de Fermat in the 17th century. Despite its simple statement, the theorem remained unproven until Andrew Wiles and Richard Taylor's proof in 1994, which spurred significant advancements in various mathematical fields. The theorem's allure is partly due to Fermat's assertion of having a "wonderful proof," which has led many to attempt simpler proofs, often without success. Discussions around Fermat's mathematical knowledge suggest he lacked the advanced techniques developed after his time, making it unlikely he had a valid proof for the general case. The enduring fascination with Fermat's Last Theorem highlights the complexities of proving non-existence in mathematics.

9 minutes ago

#101

martinbn

Science Advisor

The statement that there is a nonzero chance that Fermat had a proof is just because we cannot be absolute sure about anything. But it means nothing. There is a nonzero chance that i will solve the Hodge conjecture tonight.

By the way I think that Gauss was not interested in FLT.