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8

Part of 2009 Canadian Mathematical Olympiad Qualification Repechage

Problems(1)

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

Source: Canadian Repêchage 2009: Problem 8

4/25/2014
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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