e/Büchi's Problem

Information
has gloss	eng: Büchis problem, also known as the n squares problem, is an open problem from number theory named after the Swiss mathematician Julius Richard Büchi. It asks whether there is a positive integer M such that any 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. In 1983, Douglas Hensley observed that Büchi's problem is equivalent to the following: Does there exist a positive integer M such that, for all integers x and a, the quantity (x + n)2 + a cannot be a square for more than M values of n, unless a = 0?
lexicalization	eng: Büchi's Problem
instance of	e/Quadratic form