MathDB
HOMC 2008 P4

Source: HOMC 2008, Vietnam

March 10, 2016
homcalgebranumber theoryequationrelatively prime

Problem Statement

Prove that there exists an infinite number of relatively prime pairs (m,n)(m, n) of positive integers such that the equation x3āˆ’nx+mn=0x^3-nx+mn=0 has three distint integer roots.
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