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- Square_number abstract "In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 × 3.The usual notation for the formula for the square of a number n is not the product n × n, but the equivalent exponentiation n2, usually pronounced as \"n squared\". The name square number comes from the name of the shape; see below.Square numbers are non-negative. Another way of saying that a (non-negative) number is a square number, is that its square roots are again integers. For example, √9 = ±3, so 9 is a square number.A positive integer that has no perfect square divisors except 1 is called square-free.For a non-negative integer n, the nth square number is n2, with 02 = 0 being the zeroth one. The concept of square can be extended to some other number systems. If rational numbers are included, then a square is the ratio of two square integers, and, conversely, the ratio of two square integers is a square, e.g., 4/9 = (2/3)2.Starting with 1, there are ⌊√m⌋ square numbers up to and including m, where the expression ⌊x⌋ represents the floor of the number x.".
- Square_number thumbnail Square_number_1.png?width=300.
- Square_number wikiPageExternalLink 1.
- Square_number wikiPageExternalLink ?pa=content&sa=viewDocument&nodeId=1296&bodyId=1433.
- Square_number wikiPageExternalLink A003226.
- Square_number wikiPageExternalLink FSQUARES.HTM.
- Square_number wikiPageExternalLink square_numbers.
- Square_number wikiPageExternalLink psquares.html.
- Square_number wikiPageExternalLink books?id=njEtt7rfexEC&source=gbs_navlinks_s.
- Square_number wikiPageID "213919".
- Square_number wikiPageLength "15384".
- Square_number wikiPageOutDegree "63".
- Square_number wikiPageRevisionID "706534786".
- Square_number wikiPageWikiLink 0_(number).
- Square_number wikiPageWikiLink Area.
- Square_number wikiPageWikiLink Automorphic_number.
- Square_number wikiPageWikiLink Brahmagupta–Fibonacci_identity.
- Square_number wikiPageWikiLink Category:Elementary_arithmetic.
- Square_number wikiPageWikiLink Category:Figurate_numbers.
- Square_number wikiPageWikiLink Category:Integer_sequences.
- Square_number wikiPageWikiLink Category:Integers.
- Square_number wikiPageWikiLink Category:Number_theory.
- Square_number wikiPageWikiLink Category:Quadrilaterals.
- Square_number wikiPageWikiLink Centered_octagonal_number.
- Square_number wikiPageWikiLink Centered_square_number.
- Square_number wikiPageWikiLink Cube_(algebra).
- Square_number wikiPageWikiLink Decimal.
- Square_number wikiPageWikiLink Difference_of_two_squares.
- Square_number wikiPageWikiLink Divisor.
- Square_number wikiPageWikiLink Duodecimal.
- Square_number wikiPageWikiLink Eulers_four-square_identity.
- Square_number wikiPageWikiLink Exponentiation.
- Square_number wikiPageWikiLink Factorization.
- Square_number wikiPageWikiLink Fermats_theorem_on_sums_of_two_squares.
- Square_number wikiPageWikiLink Floor_and_ceiling_functions.
- Square_number wikiPageWikiLink Fundamental_theorem_of_arithmetic.
- Square_number wikiPageWikiLink Hexadecimal.
- Square_number wikiPageWikiLink Integer.
- Square_number wikiPageWikiLink Integer_factorization.
- Square_number wikiPageWikiLink Integer_square_root.
- Square_number wikiPageWikiLink John_Horton_Conway.
- Square_number wikiPageWikiLink Lagranges_four-square_theorem.
- Square_number wikiPageWikiLink Mathematics.
- Square_number wikiPageWikiLink Methods_of_computing_square_roots.
- Square_number wikiPageWikiLink Multiplication.
- Square_number wikiPageWikiLink Numerical_digit.
- Square_number wikiPageWikiLink On-Line_Encyclopedia_of_Integer_Sequences.
- Square_number wikiPageWikiLink Parity_(mathematics).
- Square_number wikiPageWikiLink Perfect_number.
- Square_number wikiPageWikiLink Polygonal_number.
- Square_number wikiPageWikiLink Power_of_two.
- Square_number wikiPageWikiLink Prime_number.
- Square_number wikiPageWikiLink Pronic_number.
- Square_number wikiPageWikiLink Pythagorean_triple.
- Square_number wikiPageWikiLink Quadratic_residue.
- Square_number wikiPageWikiLink Rational_number.
- Square_number wikiPageWikiLink Recursion.
- Square_number wikiPageWikiLink Richard_K._Guy.
- Square_number wikiPageWikiLink Sign_(mathematics).
- Square_number wikiPageWikiLink Square-free_integer.
- Square_number wikiPageWikiLink Square_(algebra).
- Square_number wikiPageWikiLink Square_pyramidal_number.
- Square_number wikiPageWikiLink Square_root.
- Square_number wikiPageWikiLink Square_triangular_number.
- Square_number wikiPageWikiLink The_Book_of_Squares.
- Square_number wikiPageWikiLink Triangular_number.
- Square_number wikiPageWikiLink Unit_square.
- Square_number wikiPageWikiLink Warings_problem.
- Square_number wikiPageWikiLink File:Square_number_1.png.
- Square_number wikiPageWikiLink File:Square_number_16.png.
- Square_number wikiPageWikiLink File:Square_number_25.png.
- Square_number wikiPageWikiLink File:Square_number_4.png.
- Square_number wikiPageWikiLink File:Square_number_9.png.
- Square_number wikiPageWikiLinkText "144".
- Square_number wikiPageWikiLinkText "Perfect square numbers".
- Square_number wikiPageWikiLinkText "Perfect squares".
- Square_number wikiPageWikiLinkText "Square number".
- Square_number wikiPageWikiLinkText "Square roots of perfect squares".
- Square_number wikiPageWikiLinkText "Square".
- Square_number wikiPageWikiLinkText "non-square number".
- Square_number wikiPageWikiLinkText "nonsquare".
- Square_number wikiPageWikiLinkText "perfect square".
- Square_number wikiPageWikiLinkText "perfect squares".
- Square_number wikiPageWikiLinkText "square number".
- Square_number wikiPageWikiLinkText "square".
- Square_number wikiPageWikiLinkText "squares".
- Square_number wikiPageWikiLinkText "their squares".
- Square_number title "Square Number".
- Square_number urlname "SquareNumber".
- Square_number wikiPageUsesTemplate Template:=.
- Square_number wikiPageUsesTemplate Template:Big.
- Square_number wikiPageUsesTemplate Template:Bigmath.
- Square_number wikiPageUsesTemplate Template:Classes_of_natural_numbers.
- Square_number wikiPageUsesTemplate Template:Clear.
- Square_number wikiPageUsesTemplate Template:Math.
- Square_number wikiPageUsesTemplate Template:MathWorld.
- Square_number wikiPageUsesTemplate Template:More_footnotes.
- Square_number wikiPageUsesTemplate Template:Mvar.
- Square_number wikiPageUsesTemplate Template:OEIS.
- Square_number wikiPageUsesTemplate Template:Reflist.