What is Fermat's Last Theorem?

Professor Sir Andrew Wiles of Oxford University has been awarded the 2016 Abel Prize – one of the highest honours in mathematics – for his proof of Fermat’s Last Theorem. But what was this famous theorem, and why did it exercise the greatest minds for more than 300 years? Marcus du Sautoy, Simonyi Professor for the Public Understanding of Science at Oxford University, explains.

[ArnobAlam]

I have discovered a truly marvelous proof of this, but this youtube comments box is too narrow to contain it

[jangofet]

the ultimate prize isnt the opinion and praise of others, its math it self and for the love of math in you and in others, and for love.

[nabeelkhan]

Fact :- Wiles proved what fermat said and had been working on it since he himself was of 10 years old

[MegaMementoMori]

I don't know about you guys, but after watching a Japanese rapper make a commercial about Arabic coffee, I had this sudden urge to type Fermat's last theorem into the yt search engine and listen to some history of mathematics for a change :D

[rogerramjet]

From UPI By Eric DuVall | u pdated March 17, 2016 at 5:45 PM
" Andrew Wiles, 62, was a professor at Princeton in 1994, when he and a protege, Richard Taylor, a student at the school, submitted their proof of the math problem, known in math circles for centuries."
Why does not Taylor get some credit also ?
The article used the word "their" proof.
Why doe Wiles not acknowlede Taylors contributation?

[platostien]

Does this apply to roots also? N√x+n√y never equals n√z????

[MrSilki]

amazing how this guy fails to mention integers, not any numbers

[BogusNotions]

At 40 seconds you seem to be saying it's more difficult to prove you can't find three numbers than actually finding three. But surely Andrew Wiles has managed the former whilst later is impossible?

[charlessmyth]

Really?? From my reading of the subject, as someone who is neither a rocket scientist, nor Terrence Tao, Andrew Wiles provided a proof for the Taniyama-Shimura conjecture, which, via an argument by Gerhard Frey has been popularly presented as the léger de main of a proof for Fermat's Last Theorem.

[TENIEKEN]

who els cried. i cant believe one of my dream goals has just died. man. 350 years it would be a privilege to have broken that streak.

[TheAbd]

then there people like me who fail at simple maths at school

[Backseatsman]

So you're saying Andrew Wiles was motivated by fame?

[avinoamatzaba]

A mathematical argument that only awaits refutation
(it can not be proved)

Green number + green number = number that is not green

A green number is a natural number that has a third root .

Refutation will appear if a green number is found to the left side of
the equation

Aetzbar

[mohmd]

where is the solution of Fermat's last

[Nothing_serious]

Meh. I have a better proof but it's too long to type it.

[vaclav]

Isnt that the simplest question in algebra tho i saw harder equations in calculus

[guedemedebremartin]

I have a new proof of this. It is much more simple than the wiles' proof and it is general. 😮😮😮😮

[salmansaeed]

1+1=3 I proved but I can't say so starting research and after 300 years it will prove some one and then u realize and I become popular 😉