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Technique on Solving a Binary Quadratic Diophantine Equation Involving Odd Powers of 23

Author : Dr. N Thiruniraiselvi and Dr. MA Gopalan

Abstract :

This paper aims at solving a binary quadratic Diophantine equation involving odd powers of 23 represented by 3x2 + 11y2 = 232k+1. The method employed to solve the given equation is applying the concept of divisibility.

Keywords :

Quadratic Diophantine equation, Binary quadratic equation, Integer solutions, Division algorithm