February 9–February 15, 2010

Problem

Show that for every integer x, there is some integer y so that (y2 - 2)/(x4 + 1) is also an integer.

Solution

here

List of solvers

Daniel Jeffrey Nollette, Elizabeth Wicks, Jizhou Li (undergraduate); Wenhan Wang (graduate); Tirumalai R. Mukundan, Lloyd Sakazaki, Congpa You, Mike Goodman, Steve Wilmarth, Philipp K. Janert (outside);

Elizabeth Wicks wins the prize!