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finite solutions of 1/a + 1/b + 1/c = 1/1983 in positive integers

Source: Brazilian Mathematical Olympiad 1983 P1

July 27, 2018
number theoryDiophantine equationpositive integers

Problem Statement

Show that there are only finitely many solutions to 1/a+1/b+1/c=1/19831/a + 1/b + 1/c = 1/1983 in positive integers.