engleski

On the polynomial parametric family of the sets with the property D(-1 ; 1)

In this paper we prove that if a positive integer d has the property that for an integer k >= 1 each of (k^12 + 1)d + 1, (k^12 + 2k^6 + 2)d + 1 and (4k^12 + 4k^6 + 5)d + 1 is a perfect square, then d = 16k^36 + 48k^30 + 100k^24 + 120k^18 + 112k^12 + 60k^6 + 24.

Diophantine m-tuples

nije evidentirano