Authors

Leonhard Euler

Enestrom Number

515

Fuss Index

56

Original Language

Latin

Published as

Journal article

Published Date

1781

Written Date

1780

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.

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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