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Problem of the Week 978
A Diophantine Problem
Find all solutions in nonnegative integers to x^4 + (x+1)^4 = y^2 + (y+1)^2.
Source: Source: A problem book designed for Olympiad practice by Edward Lozansky and Cecil Rousseau: Winning Solutions, Springer 1996. This one is from an old Hungarian competition.© Copyright 2003 Stan Wagon. Reproduced with permission.