engleski

On the family of Diophantine triples {;k+2, 4k, 9k+6};

In this paper, we prove that if k and d are two positive integers such that the product of any two distinct elements of the set {; ; k + 2, 4k, 9k + 6, d}; ; increased by 4 is a perfect square, then d = 36k^3 + 96k^2 + 76k + 16.

Diophantine m-tuples; Pell equations; Baker's method

nije evidentirano