[Verse 1] Back in sixteen thirty-seven, a French lawyer made a claim Pierre de Fermat wrote it down, and history changed the game In the margin of a book, he scribbled something bold A theorem that would haunt the minds of mathematicians old [Chorus] X to the n plus y to the n equals z to the n When n is three or greater, there's no solution then No positive integers can make this equation true Fermat's Last Theorem, centuries overdue [Verse 2] For squares it works just fine, like three four five we know Nine plus sixteen equals twenty-five, Pythagoras showed But cubes and higher powers, they break the pattern clean No triple of whole numbers fits this ancient scene [Chorus] X to the n plus y to the n equals z to the n When n is three or greater, there's no solution then No positive integers can make this equation true Fermat's Last Theorem, centuries overdue [Bridge] Fermat claimed he had a proof, too long for margins small But centuries passed by and no one could solve it all Until nineteen ninety-five, when Wiles broke through the wall With modular forms and elliptic curves, he conquered Fermat's call [Verse 3] The statement seems so simple, any child could understand But proving it required all of modern math at hand From number theory depths to algebraic geometry's height Andrew Wiles connected worlds and brought truth to light [Chorus] X to the n plus y to the n equals z to the n When n is three or greater, there's no solution then No positive integers can make this equation true Fermat's Last Theorem, now we know it's true [Outro] Three hundred fifty-eight years from conjecture to the proof That some equations have no answers, and that's mathematical truth
← Pythagorean Triples | Infinitude of Primes (The Inexhaustible Supply) →