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diophantine (4a-b)(4b-a )=1770^n

Source: Finland 2016, p4

September 8, 2019
number theoryDiophantine equationdiophantine

Problem Statement

How many pairs (a,b)(a, b) of positive integers a,ba,b solutions of the equation (4a−b)(4b−a)=1770n(4a-b)(4b-a )=1770^n exist , if nn is a positive integer?
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