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FERMAT'S CURVE

Pierre de 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 non zero, even though such
points form a dense subset on the plane.

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© Robert FERRÉOL
2019