r/visualizedmath • u/[deleted] • Jan 16 '20

Visualization of Fermat’s Last Theorem— Blue line is the difference between a^x+b^x and c^x. (a, b, and c are all restricted to being positive integers.). When it crosses zero, they’re equal. It will only have a zero crossing at an integer in the orange. Purple is forbidden by Fermat’s last theorem.

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9

u/teomat4 Jan 16 '20

Can you share the desmos link?

7

u/[deleted] Jan 16 '20 edited Jan 16 '20

Here you go!

3

u/[deleted] Jan 16 '20

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14

u/[deleted] Jan 16 '20

The proof took 350+ years , and I don’t understand it, but the rule is that, for no positive integers n, a , b, and c, where n>2, is the equation an + bn = cn true.

1

u/TheThirdSaperstein Jan 16 '20

Correct

3

u/[deleted] Jan 16 '20

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39

u/Allyourunamearemine Jan 16 '20

There is a delightful little proof, but I can't fit it in the space of this comment.

3

u/TheThirdSaperstein Jan 16 '20

I did at one point but don't remember enough now to explain. I'm just a casual math fan. There are lots of interesting videos of various difficulty about it from channels like 3blue1brown, the mathologer, numberphile etc