Geodesic
Some properties of elements of the prime field
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2016), pp. 60-68

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We obtain some properties of primitive roots in the groups of residue class modulo prime number, in particular, Fermat primes and Sophie Germain primes. We also obtain some formulas for computation of products of elements in some subsets of the prime field of positive characteristic.
Keywords: prime field
Mots-clés : Fermat primes, Sophie Germain primes. 
@article{IVM_2016_8_a5,
     author = {S. A. Tyurin},
     title = {Some properties of elements of the prime field},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {60--68},
     publisher = {mathdoc},
     number = {8},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_8_a5/}
}
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S. A. Tyurin. Some properties of elements of the prime field. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2016), pp. 60-68. http://geodesic.mathdoc.fr/item/IVM_2016_8_a5/