Published January 1, 2016
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On the Occurrence of Perfect Squares Among Values of Certain Polynomial Products
Creators
- 1. Middle East Tech Univ, Northern Cyprus Campus,TZ-32 Kalkanli, TR-10 Guzelyurt, Mersin, Turkey
Description
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.
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