Solutio problematis Fermatiani de duobus numeris, quorum summa sit quadratum, quadratorum vero summa biquadratum, ad mentem illustris La Grange adornata

English Title

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

Authors

Leonhard Euler

Enestrom Number

769

Fuss Index

46

Original Language

Latin

Content Summary

Euler returns to the problem, motivated by Lagrange, of finding x and y such that x+y is a square and xx+yy is a fourth power. This is a very short paper.

Published as

Journal article

Published Date

1826

Written Date

1780

Original Source Citation

Mémoires de l'académie des sciences de St.-Petersbourg, Volume 10, pp. 3-6.

Opera Omnia Citation

Series 1, Volume 5, pp.77-81.

Record Created

2018-09-25