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Diophantine equation

Source: Tuymaada 2012, Problem 5/6, Day 2, Seniors/Juniors

July 18, 2012
number theory unsolvednumber theory

Problem Statement

Solve in positive integers the following equation: 1n2−32n3=1m2{1\over n^2}-{3\over 2n^3}={1\over m^2}
Proposed by A. Golovanov
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