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Determine an infinite family of quadruples (a, b, c, d)

Source: Canadian Repêchage 2009: Problem 8

April 25, 2014
number theory proposednumber theory

Problem Statement

Determine an infinite family of quadruples (a,b,c,d)(a, b, c, d) of positive integers, each of which is a solution to a4+b5+c6=d7a^4+b^5+c^6=d^7.
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