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Büchi's problem

In number theory, Büchi's problem, also known as the n squares' problem, is an open problem named after the Swiss mathematician Julius Richard Büchi. It asks whether there is a positive integer M such that every sequence of M or more integer squares, whose second difference is constant and equal to 2, is necessarily a sequence of squares of the form (x + i)², i = 1, 2, ..., M,... for some integer x.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/B%C3%BCchi%27s_problem)

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