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

Simple item page
dc.creatorEuler, Leonhard
dc.date2006-04-23
dc.date.accessioned2026-07-07T07:11:11Z
dc.date.available2026-07-07T07:11:11Z
dc.descriptionEuler 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.
dc.description``Solutio problematis Fermatiani de duobus numeris, quorum summa sit quadratum, quadratorum vero summa biquadratum, ad mentem illustris La Grange adornata'', Memoires de l'Academie Imperiale des Sciences de St.-Petersbourg 10 (1826), 3-6. E769 in the Enestrom index
dc.identifierhttps://arxiv.org/abs/math/0604496
dc.identifierhttp://arxiv.org/abs/math/0604496
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111661
dc.subjectHistory and Overview
dc.subjectNumber Theory
dc.subject01A50; 11D09
dc.titleA 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
dc.typetext

Files

Collections

arXiv