AMERICAN MATHEMATICAL MONTHLY, vol.123, no.6, pp.597-599, 2016 (Journal Indexed in SCI)
Article / Article
Title of Journal :
AMERICAN MATHEMATICAL MONTHLY
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.