On The System Of Double Equations

Abstract

Thisnbsp papernbsp concernsnbsp with thenbsp problem of obtain infinitely many non-zero distinct integers N1, N2nbspsuch that N1-N2 = 4k + 2(kgt0)and nbspN1N2 = (2k+1)a2 where 2k+1 is square-free. A fewnbsp examplesnbsp arenbsp given.nbsp Some observations among N1, N2nbspare presented