English Title
General solution of certain Diophantine problems, which are ordinarily thought to admit only special solutions
Enestrom Number
255
Fuss Index
73
Original Language
Latin
Archive Notes
The supplement to T. L. Heath's Diophantus of Alexandria, contains a section titled "some solutions of Diophantine problems by Euler," which includes some of Euler's work in this paper. According to Jacobi, a treatise with this title was read to the Berlin Academy on May 9, 1754. According to St. Petersburg Academy records, it was presented to that Academy on September 30, 1754.
Content Summary
In section 16, Euler finds several sets of three cubes whose sum is a cube. He shows the relationship to forms aa+3bb. In section 32, he shows how to find two relatively prime numbers that, when their cubes are added, make a square.
Published as
Journal article
Published Date
1761
Written Date
1754
Original Source Citation
Novi Commentarii academiae scientiarum Petropolitanae, Volume 6, pp. 155-184.
Opera Omnia Citation
Series 1, Volume 2, pp.428-458.
Record Created
2018-09-25
