English Title
Thoughts concerning Diophantine analysis
Enestrom Number
793
Original Language
Latin
Content Summary
The first two paragraphs seem to be in praise of Diophantine analysis. Then we turn to familiar ground: first, find three numbers, v, x, y that make squares out of the expressions vx+v+x, vy+v+y, and xy+x+y. Next, find four numbers A, B, C, D that make the following squares: AB–1, AC–1, AD–1, BC–1, BD–1, and CD–1. (An easy solution is 1, 2, 5, 1.) Given a number n, find four numbers that make squares out of AB+n, AC+n, etc.
Published as
Collection article
Published Date
1849
Original Source Citation
Commentationes arithmeticae collectae, Volume 2, pp. 576-587.
Opera Omnia Citation
Series 1, Volume 5, pp.284-302.
Record Created
2018-09-25
