Square-Free Integer
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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, 14, 15, 17, 19, 21, 22, 23, 26, 29, 30, 31, 33, 34, 35, 37, 38, 39, ... Ring theory generalizes the concept of being square-free. The positive integer n is square-free if and only if in the prime factorization of n, no prime number occurs more than once. Another way of stating the same is that for every prime factor p of n, the prime p does not divide n / p. Yet another formulation: n is square-free if and only if in every factorization n=ab, the factors a and b are coprime. An immediate result of this definition is that all prime numbers are square-free.
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786130995775
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Größe H220mm x B220mm
- EAN 9786130995775
- Format Fachbuch
- Titel Square-Free Integer
- Herausgeber Betascript Publishing
- Anzahl Seiten 76
- Genre Mathematik
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