Good examples of Hall's conjecture: integers x such that 0 < |x^3 - y^2| < sqrt(x) for some integer y.
2, 5234, 8158, 93844, 367806, 421351, 720114, 939787, 28187351, 110781386
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Tue Feb 16 23:18:13 CET 2010 [seqfan] 34 Tables in "Neighboring Powers" paper