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(x + y)(y + z)(z + x) = xyzt

Source: Romanian TST 1995

July 14, 2009
number theory unsolvednumber theory

Problem Statement

Find all positive integers x,y,z,t x,y,z,t such that x,y,z x,y,z are pairwise coprime and (x \plus{} y)(y \plus{} z)(z \plus{} x) \equal{} xyzt.
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