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A Note on Two Diophantine Equations 17x + 19y = z2 and 71x + 73y = z2

Journal: Mathematical Journal of Interdisciplinary Sciences (Vol.2, No. 1)

Publication Date:

Authors : ;

Page : 19-24

Keywords : Exponential Diophantine equations; Catalan’s conjecture; integer solutions;

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Abstract

In this short note we study some Diophantine equations of the form px +qy = z2 , where x,y and z are non-negative integers and, p and q are both primes, p < q, with distance two.

Last modified: 2015-06-04 18:03:29