English Title
On the cases in which the form x4 + kxxyy + y4 can be reduced to a square
Enestrom Number
696
Fuss Index
57
Original Language
Latin
Content Summary
Euler first notes that if the values 1, 3, 4, 5, 6, 7, etc. are substituted for k, then the formula x4 + kxxyy + y4 never gives a square, regardless of the values x and y. He repeats several of his results about Pell's equation.
Published as
Journal article
Published Date
1797
Written Date
1777
Original Source Citation
Nova Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 10, pp. 27-40.
Opera Omnia Citation
Series 1, Volume 4, pp.235-244.
Record Created
2018-09-25
