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(a^3 + b^3)^n = 4*(ab)^1995

Source: Vietnam TST 1995, Problem 3

July 27, 2008
number theory unsolvednumber theory

Problem Statement

Find all integers a a, b b, n n greater than 1 1 which satisfy \left(a^3 \plus{} b^3\right)^n \equal{} 4(ab)^{1995}