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2002x+273y=200201+k diophantine

Source: Argentina 2002 OMA L3 p2

May 12, 2024
number theoryDiophantine equationdiophantine

Problem Statement

Determine the smallest positive integer kk so that the equation 2002x+273y=200201+k2002x+273y=200201+k has integer solutions, and for that value of kk, find the number of solutions (x,y)\left (x,y\right ) with xx, yy positive integers that have the equation.
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