A note on the diophantine equations x 2 ± 5 α . pn = y n

Soydan, Gökhan

doi:10.1501/commua1_0000000853

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

2018

DOI: 10.1501/commua1_0000000853

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A note on the diophantine equations x 2 ± 5 α . pn = y n

Gökhan Soydan

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2021

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The diophantine equation x2 + paqb = yq

Godinho

Neumann

2021

Int. J. Number Theory

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In this paper, we consider the Diophantine equation in the title, where [Formula: see text] are distinct odd prime numbers and [Formula: see text] are natural numbers. We present many results given conditions for the existence of integers solutions for this equation, according to the values of [Formula: see text] and [Formula: see text]. Our methods are elementary in nature and are based upon the study of the primitive divisors of certain Lucas sequences as well as the factorization of certain polynomials.

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The diophantine equation x2 + paqb = yq

Godinho

Neumann

2021

Int. J. Number Theory

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show abstract

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A note on the diophantine equations x 2 ± 5 α . pn = y n

Cited by 1 publication

References 0 publications

The diophantine equation x2 + paqb = yq

The diophantine equation x2 + paqb = yq

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