# Square-free integer

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• Square-free integer — In mathematics, a square free, or quadratfrei, integer is one divisible by no perfect square, except 1. For example, 10 is square free but 18 is not, as it is divisible by 9 = 32. The smallest square free numbers are :1, 2, 3, 5, 6, 7, 10, 11, 13 …   Wikipedia

• Square-free — In mathematics, an element r of a unique factorization domain R is called square free if it is not divisible by a non trivial square. That is, every s such that s^2mid r is a unit of R .Square free elements may be also characterized using their… …   Wikipedia

• Square number — In mathematics, a square number, sometimes also called a perfect square, is an integer that can be written as the square of some other integer; in other words, it is the product of some integer with itself. So, for example, 9 is a square number,… …   Wikipedia

• Square root — Measured fall time of a small steel sphere falling from various heights. The data is in good agreement with the predicted fall time of , where h is the height and g is the acceleration of gravity. In mathematics, a square root of a number x is a… …   Wikipedia

• Square root of 2 — The square root of 2, also known as Pythagoras constant, often denoted by:sqrt{2} or √2but can also be written as:2^{1/2},,is the positive real number that, when multiplied by itself, gives the number 2. Its numerical value approximated to 65… …   Wikipedia

• Free abelian group — In abstract algebra, a free abelian group is an abelian group that has a basis in the sense that every element of the group can be written in one and only one way as a finite linear combination of elements of the basis, with integer coefficients …   Wikipedia

• Algebraic integer — This article deals with the ring of complex numbers integral over Z. For the general notion of algebraic integer, see Integrality .In number theory, an algebraic integer is a complex number which is a root of some monic polynomial (leading… …   Wikipedia

• Radical of an integer — In mathematics, the radical of a positive integer n is defined as the product of the prime numbers dividing n ::displaystylembox{rad}(n)=prod {p|n}p.,For example,:504=2^3cdot3^2cdot7 mbox{ and } mbox{rad}(504)=2cdot3cdot7=42.,The radical of any… …   Wikipedia

• On-Line Encyclopedia of Integer Sequences — URL oeis.org Created by Neil Sloane Launched 1996 ( …   Wikipedia

• List of number theory topics — This is a list of number theory topics, by Wikipedia page. See also List of recreational number theory topics Topics in cryptography Contents 1 Factors 2 Fractions 3 Modular arithmetic …   Wikipedia

• Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… …   Wikipedia