Open AccessSome properties of prime numbers of special form and Carmichael numbers
Author(s) -
N.V. Kalashnіkova
Publication year - 2016
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241607
Subject(s) - mersenne prime , fermat number , mathematics , fermat's last theorem , multiplicative function , prime (order theory) , prime number , arithmetic , discrete mathematics , combinatorics , mathematical analysis
We study some properties of structure of the multiplicative group $Z^*_m$, in case when m is Mersenne prime, Fermat or Carmichael number. Using the results of these studies, we obtain properties of Mersenne primes, Fermat and Carmichael numbers.
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