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- Bxc3xbcchis_problem abstract "Büchi's 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 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, 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 consecutive values of n, unless a = 0?".
- Bxc3xbcchis_problem wikiPageID "24471842".
- Bxc3xbcchis_problem wikiPageLength "5125".
- Bxc3xbcchis_problem wikiPageOutDegree "16".
- Bxc3xbcchis_problem wikiPageRevisionID "674998647".
- Bxc3xbcchis_problem wikiPageWikiLink Category:Number_theory.
- Bxc3xbcchis_problem wikiPageWikiLink Category:Quadratic_forms.
- Bxc3xbcchis_problem wikiPageWikiLink Decidability_(logic).
- Bxc3xbcchis_problem wikiPageWikiLink Douglas_Hensley.
- Bxc3xbcchis_problem wikiPageWikiLink First-order_logic.
- Bxc3xbcchis_problem wikiPageWikiLink Glossary_of_arithmetic_and_Diophantine_geometry.
- Bxc3xbcchis_problem wikiPageWikiLink Hilberts_tenth_problem.
- Bxc3xbcchis_problem wikiPageWikiLink Julius_Richard_Büchi.
- Bxc3xbcchis_problem wikiPageWikiLink Leonard_Lipshitz.
- Bxc3xbcchis_problem wikiPageWikiLink Number_theory.
- Bxc3xbcchis_problem wikiPageWikiLink Paul_Vojta.
- Bxc3xbcchis_problem wikiPageWikiLink Quadratic_form.
- Bxc3xbcchis_problem wikiPageWikiLink Saunders_Mac_Lane.
- Bxc3xbcchis_problem wikiPageWikiLink Yuri_Matiyasevich.
- Bxc3xbcchis_problem wikiPageWikiLinkText "Büchi's problem".
- Bxc3xbcchis_problem subject Category:Number_theory.
- Bxc3xbcchis_problem subject Category:Quadratic_forms.
- Bxc3xbcchis_problem hypernym Problem.
- Bxc3xbcchis_problem type Disease.
- Bxc3xbcchis_problem type Diacritic.
- Bxc3xbcchis_problem type Field.
- Bxc3xbcchis_problem type Redirect.
- Bxc3xbcchis_problem comment "Büchi's 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 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.".
- Bxc3xbcchis_problem label "Büchi's problem".
- Bxc3xbcchis_problem sameAs Q5005256.
- Bxc3xbcchis_problem sameAs m.080bcnc.
- Bxc3xbcchis_problem sameAs Q5005256.
- Bxc3xbcchis_problem wasDerivedFrom Bxc3xbcchis_problem?oldid=674998647.
- Bxc3xbcchis_problem isPrimaryTopicOf Bxc3xbcchis_problem.