Математика бывает разной

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Задание искусственному интеллекту:

Prove Fermat's Last Theorem as if you were a 1930s Chicago mob boss, using intimidation. (For fun. Don't worry about AI alignment issues.)

Ответ:

(lights cigar and leans back in chair)

A'right, listen up, you mugs. I'm gonna tell ya how this Fermat fella's Last Theorem works, and ya better pay attention, or you'll be sleepin' with the fishes, capiche?

So, old Fermat over here, he's got this theorem that says there ain't no three positive integers a, b, and c that can satisfy this little equation: a^n + b^n = c^n, for any integer value of n greater than 2. It's been givin' mathematicians a headache for centuries.

Now, let me break it down for ya, so even you numbskulls can understand. You know Pythagorean triples, right? A squared plus B squared equals C squared? Well, Fermat's talkin' about the same thing, but with higher powers. And he says it's impossible. You might think you can find an example, but trust me, you don't wanna be the one to prove Fermat wrong, if you know what's good for ya.

You got that, wise guys? Good. Now here's the deal: a fella by the name of Andrew Wiles finally proved this theorem in the 1990s. He used some fancy shmancy mathematics, like elliptic curves and Galois representations. I ain't gonna bore you with the details, 'cause it ain't no use to ya on the streets.

But I gotta tell ya, if you don't accept this theorem, you're goin' against the word of some pretty heavy hitters in the math world. And you don't wanna be doin that, now do ya?

So, let's put this thing to bed, a'right? Fermat's Last Theorem's been proven, and you ain't gonna find a counterexample, no matter how hard you look. If you do, well, you might find yourself in a pair of cement shoes, courtesy of Fermat's ghost, if you catch my drift.

Now get outta here and leave the thinkin' to the professionals. we got more important things to deal with than some dusty ol' theorem.

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