Pseudoprime

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High Quality Content by WIKIPEDIA articles! A pseudoprime is a probable prime (an integer which shares a property common to all prime numbers) which is not actually prime. Pseudoprimes can be classified according to which property they satisfy.The most important class of pseudoprimes come from Fermat's little theorem and hence are called Fermat pseudoprimes. This theorem states that if p is prime and a is coprime to p, then ap?1 ? 1 is divisible by p. If a number x is not prime, a 1 is coprime to x and x divides ax?1 ? 1, then x is called a pseudoprime to base a. Some sources use variations of this definition, for example to only allow odd numbers to be pseudoprimes.A number x that is a pseudoprime for all values of a that are coprime to x is called a Carmichael number.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130342975
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Sprache Englisch
    • Größe H220mm x B4mm x T150mm
    • Jahr 2010
    • EAN 9786130342975
    • Format Kartonierter Einband
    • ISBN 978-613-0-34297-5
    • Titel Pseudoprime
    • Untertitel Probable Prime, Integer, Prime Number, Fermat's Little Theorem, Coprime, Divisor, Carmichael Number
    • Gewicht 119g
    • Herausgeber VDM Verlag Dr. Müller e.K.
    • Anzahl Seiten 76
    • Genre Mathematik

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