UNSOLVED PROBLEMS

In Number Theory, Logic, and Cryptography

Fermat’s Last Theorem

 

In 1637, Pierre de Fermat claimed to have a proof that there are no solutions to the equation

aⁿ + bⁿ = cⁿ

if a, b, c, and n are integers, and n>2.

Andrew Wiles proved this theorem in 1994, but using many areas of mathematics completely unknown in Fermat’s day.

The problem is to prove Fermat’s Last Theorem, using only techniques available to mathematicians in the seventeenth century.

 

For further information, please see:

[1] http://en.wikipedia.org/wiki/Fermat%27s_last_theorem

[2] http://mathworld.wolfram.com/FermatsLastTheorem.html

[3] http://www-history.mcs.st-and.ac.uk/HistTopics/Fermat's_last_theorem.html

 

 

You can check for contributions to this problem on the solutions page.

 

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