A solution to a problem of Fermat, on two numbers of which the sum is a square and the sum of their squares is a biquadrate, inspired by the Illustrious La Grange

Details A solution to a problem of Fermat, on two numbers of which the sum is a square and the sum of their squares is a biquadrate, inspired by the Illustrious La Grange A solution to a problem of Fermat, on two numbers of which the sum is a square and the sum of their squares is a biquadrate, inspired by the Illustrious La Grange

2006-04-23

arxiv.org/abs/math/0604496v1

Mathematics

History and Overview

``Solutio problematis Fermatiani de duobus numeris, quorum summa sit quadratum, quadratorum vero summa biquadratum, ad mentem

Scientific paper

Euler wants to find rational numbers (integers) x and y such that x+y is a
square and x^2+y^2 is a fourth power. He parametrizes these with two other
variables that satisfy certain equations.

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