A solution of a problem about two numbers which are searched for, of which their product, increased or decreased by their sum or difference, will be a square
Euler wants to find numbers a and b so that the following four quantities are all squares: ab+a+b, ab+a–b, ab–a+b, and ab–a–b.
Original Source Citation
Novi Commentarii academiae scientiarum Petropolitanae, Volume 15, pp. 29-50.
Opera Omnia Citation
Series 1, Volume 3, pp.148-171.