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Brute Force Number Theory

Source: Malaysia IMONST 1 Senior P16

September 19, 2020
number theoryDiophantine equation

Problem Statement

Find the number of positive integer solutions (a,b,c,d)(a,b,c,d) to the equation (a2+b2)(c2āˆ’d2)=2020.(a^2+b^2)(c^2-d^2)=2020. Note: The solutions (10,1,6,4)(10,1,6,4) and (1,10,6,4)(1,10,6,4) are considered different.
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