Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2018 / Cilt: 67 - Sayı: 1
A NOTE ON THE DIOPHANTINE EQUATIONS x 2 5 p n = y n
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 317–322
- DOI
- —
Abstract
Suppose that x is odd, n 7 and p =2 f2; 5g are primes. In thispaper, we prove that the Diophantine equations x2 5 p n = y n have no solutions in positive integers ; x; y with gcd(x; y) = 1.