Abstract:
This article discusses the producs of (13 + q3)(23 + q3) · · · (n3 + q3) by conditions
n ≥ maks{q; 1198 − q} for positive integer n and q by using congruence method
in choosing prime numbers. This technique aims to the result p-adic valuation the
producs of (13 + q3)(23 + q3) · · · (n3 + q3) or can be written with vp(Cn) is 1. As an
application for q = 1; : : : ; 10, the solution does not result in perfect powers when
the valuation vp(Cn) is 1.