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FERMAT'S CURVE


Pierre Fermat (1601-1655): French mathematician.

 
Cartesian equation:  (n integer > 1) (Lamé curve)
Algebraic curve of degree n, non-rational for n > 3

The Fermat-Wiles theorem consists in the strange fact that the curve avoids, when n > 3 all the points with both coordinates rational, which form a dense subset of the plane.
 
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© Robert FERRÉOL  2017