NS  Vol.7 No.8 , August 2015
Development of New Method for Generating Prime Numbers
The article is devoted to actual problems of prime numbers. A theorem that allows generating a sequence of prime numbers is proposed. An algorithm for generating prime numbers has been developed. A comparison of the proposed theorem, with Wilson’s theorem is also provided.

Cite this paper
Baibekov, S. and Altynbek, S. (2015) Development of New Method for Generating Prime Numbers. Natural Science, 7, 416-423. doi: 10.4236/ns.2015.78044.
[1]   Vinogradov, I.M. (1952) Fundamental of the Theory of Number. 5th Edition, Publishing House of Technology & Scientific Literature, 262.

[2]   Ishmuchametov, Sh.T. (2011) Methods of Factoring Natural Numbers. Kazan Federal University Press, Kazan, 202.

[3]   Nesterenko, А. (2011) Introduction to Modern Cryptography, Theoretical Numbers Algorithms. 190. http://img0.liveinternet.ru/images/attach/c/4/3908/3908902_ntheory.pdf

[4]   Gabidulin, E.М., Kshevetshkii, А.S. and Kolybelnikov, А.I. (2011) Information Security. МFTI, 262.