On Pell Equation x^2-5(5n+2)y^2=-1(n≡-1(mod4))
Abstract:This paper proves the sets of P ell equation x^2-5(5n+2)y^2=-1(n∈Z6+,n≡-1(mod4),5n+2 is prime factor)and Pell equation x^2-5(5n-2)y^2=-1(n∈Z^+,n≡-1(mod4),5n-2 is prime factor) have positive integer solutions.
Keywords:Pell equationpositive integer solutionprime factorsquare numbercongruence
Publication Date:2012-01-01
Online Publishing Date:2025-08-15(First online date of this platform, not the publication date of the document)
Pages:3( 179-181 )
