E769 -- Solutio problematis Fermatiani de duobus numeris, quorum summa sit quadratum, quadratorum vero summa biquadratum, ad mentem illustris La Grange adornata
(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)
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.
Publication:
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Originally published in Memoires de l'academie des sciences de St.-Petersbourg 10, 1826, pp. 3-6
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Opera Omnia: Series 1, Volume 5, pp. 77 - 81
- Reprinted in Commentat. arithm. 2, 1849, pp. 403-405 [E769a]
Documents Available:
- Original publication:
- English Translation (Jordan Bell): E769
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