On the Occurrence of Perfect Squares Among Values of Certain Polynomial Products


Gurel E.

AMERICAN MATHEMATICAL MONTHLY, cilt.123, ss.597-599, 2016 (SCI İndekslerine Giren Dergi)

Özet

We prove that the product of first n consecutive values of the polynomial P(k) = 4k(4) + 1 is a perfect square infinitely often whereas the product of first n consecutive values of the polynomial Q(k) = k(4) + 4 is a perfect square only for n = 2.