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Original scientific paper

A note on the products ((m+1)2+1)((m+2)2+1)\hdots(n2+1) and ((m+1)3+1)((m+2)3+1)\hdots(n3+1)

Erhan Gürel ; Middle East Technical University, Northern Cyprus Campus,Güzelyurt, Turkey


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Abstract

We prove that for any positive integer m there exists a positive real number Nm such that whenever the integer nNm neither the product Pmn=((m+1)2+1)((m+2)2+1)\hdots(n2+1) nor the product Qmn=((m+1)3+1)((m+2)3+1)\hdots(n3+1) is a square.

Keywords

Polynomial products; diophantine equations

Hrčak ID:

157711

URI

https://hrcak.srce.hr/157711

Publication date:

16.5.2016.

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