How Was Fermat's Last Theorem Proved for Regular Primes? 

I don't know either :))

I have proved on 09/14/2016 the ONLY POSSIBLE proof of the Great Fermat's Theorem (Fermata!). I can pronounce the formula for the proof of Fermat's great theorem: 1 - Fermath's great theorem NEVER! and nobody! NOT! HAS BEEN PROVEN !!! and NEVER!!!! 2 - proven! THE ONLY POSSIBLE proof of Fermat's theorem 2A - Me opened : - EXIST THE ONLY POSSIBLE proof of Fermat's Great Theorem 3 - Fermat's great theorem is proved universally-proven for all numbers 4 - Fermat's great theorem is proven in the requirements of himself! Fermata 1637 y. 5 - Fermat's great theorem proved in 2 pages of a notebook 6 - Fermat's great theorem is proved in the apparatus of Diophantus arithmetic 7 - the proof of the great Fermat theorem, as well as the formulation, is easy for a student of the 5th grade of the school to understand !!! 8 - Me! opened the GREAT! Mystery! Fermat's theorem! (not "simple" - "mechanical" proof) !!!!- NO ONE! and NEVER! !!!Аt any university in the world I will give a lecture on how I discovered the secret Mystery! Fermat's theorems!

Fermat's Great Theorem 1637 - 2016 ! I have proved on 09/14/2016 the ONLY POSSIBLE proof of the Great Fermat's Last Theorem . I can pronounce the formula for the proof of Fermat's Great Theorem: 1 - Fermath's great theorem NEVER! and nobody! NOT! HAS BEEN PROVEN !!! 2 - proven! THE ONLY ONE!!! - POSSIBLE! proof of Fermat's last theorem !!! 3 - Fermat's Great Theorem is proved universally-proven for all numbers 4 - Fermat's Great Theorem is proven in the requirements of himself! Fermat 1637 y. 5 - Fermat's Great Theorem proved in 2 pages of a notebook 6 - Fermat's Great Theorem is proved in the apparatus of Diophantus arithmetic 7 - the proof of the great Fermat's last theorem, as well as the formulation, is easy for a student of the 5th grade of the school to understand !!! 8 - Me! opened the GREAT! A GREAT Mystery! Fermat's last theorem! (not "simple" - "mechanical" proof) Me opened : - EXIST THE ONLY ONE!!!-POSSIBLE proof of Fermat's Great Theorem Me! opened : - the GREAT! A GREAT Mystery! of the Fermat's Last theorem! (- !!! not "simple" - "mechanical" proof) Me! opened : - Pierre de Fermat - was proved! the Fermat's Last theorem! Me! opened : - my formula of my Proof is completely and absolutely identical with the words of Pierre de Fermat ! !!!!- NO ONE! and NEVER! (except ME! ...AND!... Pierre de Fermat!!!!!!! - of course!) and FOR NOTHING! NOT! will find a valid proof!

Thank you for kind words, Max. "Exponential" sounds good :)

tru dat

Yeah I was really curious to see how he would define regular prime with only a few minutes left in the video. Both the definition involving the class number and the one involving the riemann zeta function are pretty unintuitive to people who haven't seen them before, and it's a little difficult to see what they have to do with flt being true for those primes.

Thank you, Lucas. There's only one way to check: to fast forward to the future. Or rather to slow forward, actually, 'coz that's how it appears to work.

Thank you, der wilde n00b. I can assure you that I don't feel that way :) And, as a matter of fact, reading the comment section, how can I feel otherwise. Thanks for your support!

Glad you find it helpful, Eguineldo.

Thank you, Fabiano. Glad you find it helpful.

Well, I'm glad, too... Hope you continue to enjoy it with future videos.

Strangely enough, that part always takes a while. The final selection was the result of multiple iterations. But I'm glad it worked out!

A-ha! Not an entirely bad idea to occasionally do it, is it?

Yes

Most mathematicians do not study math for its practicality! Glad you found your interest though!

Let me ask you if you like abstruct math so much WHY CHOOSE CHEMICAL ENGINEERING

Drew, good catch. There is an error but it goes the other way: the multiplier is fine, it's the expansion that is inaccurate. Should be 1 + ζ + ζ^2 - ζ - ζ^2 - ζ^3. The good news: it still equals zero. Thank you for bringing this up.

Yes, it was Kummer in the 1840s. It's described in detail in Harold Edwards: Fermat's Last Theorem.

Abood, curiosity matters, doesn't it?! Actually, if you increase the number of variables on the left, you instantly lose insolubility. So, for instance, 3^3 + 4^3 + 5^3 = 6^3. And there's clearly an infinite number of solutions for such equations. At the intuitive level you can say that adding another variable grants additional degree of freedom and makes it easier to satisfy the equation.

Thank you, poirot Potiron.

HYYYYPEEEEE!!!!

@@thomassynths we need to get hype culture going for math 👏👏👏

Thank you, sumakit. More is coming...

Turn down brightness kekw

To clarify, I think what you meant to prove is that if it holds for n then it also holds for any divisor d of n = d * a simply by choosing x^a, y^a and z^a as solutions for value d.