Dinh Ly Lon Fermat: Chung Minh

The only missing piece? Proving the Taniyama-Shimura conjecture.

Wiles spent 7 years in his attic, in secret, trying to prove that specific conjecture. In 1993, he announced he had done it. A tiny flaw was found. He spent another year in despair, finally fixing it with a brilliant workaround. dinh ly lon fermat chung minh

Gerhard Frey suggested that if a counterexample (a^p + b^p = c^p) existed for an odd prime (p > 2), then one could construct an elliptic curve: [ E: y^2 = x(x - a^p)(x + b^p) ] (later called the Frey curve). He argued that this curve would be so strange that it could not be modular — contradicting the Taniyama–Shimura–Weil conjecture. The only missing piece

The proof of Fermat's Last Theorem was finally built in 1995 by Andrew Wiles (with help from Richard Taylor). But Wiles didn't actually look at $x^n + y^n = z^n$. In 1993, he announced he had done it

He did something insane: He connected Fermat's equation to a completely different branch of math—elliptic curves and modular forms.

Think of it like this: You want to prove a problem about apples. Wiles proved that if there existed an apple that broke the rules, then there would have to exist a specific type of orange that doesn't exist. Therefore, the apple cannot exist.