. . . . . . . . . . . . . . . . . . "24471842"^^ . "B\u00FCchi's problem"@en . . . . . "5428"^^ . . . . . "In number theory, B\u00FCchi's problem, also known as the n squares' problem, is an open problem named after the Swiss mathematician Julius Richard B\u00FCchi. 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. In 1983, observed that B\u00FCchi'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 consecutive values of n, unless a = 0?"@en . "In number theory, B\u00FCchi's problem, also known as the n squares' problem, is an open problem named after the Swiss mathematician Julius Richard B\u00FCchi. 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. In 1983, observed that B\u00FCchi'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 consecutive values of n, unless a = 0?"@en . . . . "1108571964"^^ . . . . . . . .