On Integral Solution of t he Diophantine Equation x3+53=2pqy2
PU Fenli
ZNANG Rumei
YANG Jiying
Abstract:Let p≡13(mod 24),q≡19(mod 24),p,q be odd primes.By using the nature of congruent and Legendre symbol,one sufficient condition is obtained that the equation in title has no integral solu-tions.
Keywords:Diophantine equationodd primeintegral solutioncongruentLegendre symbol
Publication Date:2015-01-01
Online Publishing Date:2025-08-15(First online date of this platform, not the publication date of the document)
Pages:3( 264-265,270 )