PERKALIAN (13 + q3)(23 + q3) (n3 + q3) DENGPERKALIAN (13 + q3)(23 + q3) (n3 + q3) DENGAN SYARAT n maks fq; 1198��qg TIDAK MENGHASILKAN BILANGAN BERPANGKATAN SYARAT n maks fq; 1198��qg TIDAK MENGHASILKAN BILANGAN BERPANGKAT
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Date
2021-07
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perpustakaan UR
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.
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Keywords
Legendre symbol, perfect powers, the p-adic valuations