Fermat's Last Theorem

 

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Pierre Fermat was a mathematician who liked to pose difficult puzzles to other mathematicians once he knew the answer. Is it possible that he made a puzzle but that he actually did not know the answer to? If so, it has been one of the puzzles that has been intriguing mathematicians for centuries. He thought of it was when he was still a relatively young man, and wrote in a book he was reading at the time, Diophantus' Arithmetica:

I have discovered a truly remarkable proof which this margin is too small to contain.

This was related to his conjecture that

Has no non-zero integer solutions for x, y and z when n >= 2.

The conjecture is obviously valid for n=2. It is, in that case, called Pythagoras' Theorem.

The history of this theorem is one of the most interesting stories in the history of mathematics. Have a look at the links on the side of this page to learn a bit more about Fermat's Last Theorem. Sometimes this theorem is called also 'Fermat's Conjecture'. Click here to find why.
   

Click on the portrait of Fermat to learn more about him.

Click on the picture below to download a presentation on Fermat's Last Theorem.

Have a look at the difference between conjecture and theorem, and what Fermat's Conjecture is all about.

Click on the equation below to learn more about Pythagoras' Theorem.

 

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