Authors

Leonhard Euler

Enestrom Number

515

Fuss Index

56

Original Language

Latin

Content Summary

Euler returns to the problems of E253. Problem 1 is to find four rational numbers x, y, z, and v for which x4 + y4 + z4 – 2xxyy – 2xxzz – 2yyzz + 2xxvv + 2yyvv + 2zzvv + v4 = 0. He finds several solutions, the first being x=39, v=12, y=20, and z=25.

Published as

Journal article

Published Date

1781

Written Date

1780

Original Source Citation

Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 1778: II, pp. 85-110.

Opera Omnia Citation

Series 1, Volume 3, pp.429-452.

Record Created

2018-09-25

Included in

Mathematics Commons

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