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[[Image:Pierre de Fermat.jpg|thumb|right|Pierre de Fermat]]

[[Image:Pierre de Fermat.jpg|thumb|right|Pierre de Fermat]]

Fermat's Last Theorem asserts that the well-known [[Pythagorean Theorem]] has no solutions for higher powers. That is, a^2 + b^2 = c^2 has hundreds of solutions, such as {3, 4, 5} or {5, 12, 13}}; but a^3 + b^3 + ^3 has no integral solutions other than the obvious {1, 1, 1} case.

Fermat's Last Theorem asserts that the well-known [[Pythagorean Theorem]] has no solutions for higher powers. That is,  

:<math>a^2 + b^2 = c^2</math>

has hundreds of solutions, such as {3, 4, 5} or {5, 12, 13}}; but

 

:<math>a^3 + b^3 = c^3</math>

 

has no integral solutions other than the obvious {1, 1, 1} case.

It was conjectured by the French mathematician [[Pierre de Fermat]].  He said he had proved this problem but that there was not enough room in the margin to state his proof:<ref>Nagell 1951, p. 252.</ref>

It was conjectured by the French mathematician [[Pierre de Fermat]].  He said he had proved this problem but that there was not enough room in the margin to state his proof:<ref>Nagell 1951, p. 252.</ref>