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