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RAQAMLAR NAZARIYASI: TUB SONLAR VA ULARNING XOSSALARI

Authors
  • Qurbonqulova Saodat Burxon qizi

    Chirchiq davlat pedagogika universiteti 3-bosqich talabasi saodatqurbonqulova691@gmail.com
    Author
Keywords:
Tub sonlar, raqamlar nazariyasi, kriptografiya, faktorizatsiya, algoritm, Sito Eratosfena, RSA, Riemann gipotezasi, AKS testi, sonlar taqsimoti.
Abstract
Mazkur maqolada raqamlar nazariyasining asosiy yo‘nalishlaridan biri bo‘lgan tub sonlar har tomonlama ko‘rib chiqilgan. Tub sonlarning ta’rifi, tarixiy taraqqiyoti, xossalari, zamonaviy aniqlash algoritmlari, amaliy qo‘llanilishi va hali yechimi topilmagan masalalar tahlil qilinadi. Maqola ilmiy-ommabop uslubda yozilgan bo‘lib, tub sonlarning axborot texnologiyalari va kriptografiyadagi o‘rni ham yoritilgan.
References

Niven I., Zuckerman H., Montgomery H. “An Introduction to the Theory of Numbers”, Wiley, 1991.

Burton D.M. “Elementary Number Theory”, McGraw-Hill, 2006.

Koblitz N. “A Course in Number Theory and Cryptography”, Springer, 2006.

Hardy G.H., Wright E.M. “An Introduction to the Theory of Numbers”, Oxford University Press.

Ribenboim P. “The New Book of Prime Number Records”, Springer, 1996.

Crandall R., Pomerance C. “Prime Numbers: A Computational Perspective”, Springer, 2005.

Wikipedia: Prime Number, RSA algorithm, Eratosthenes Sieve.

Clay Mathematics Institute: Millennium Prize Problems — Riemann Hypothesis.

Granville A., “It is easy to determine whether a given integer is prime,” Bulletin AMS.

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Published
2025-06-29
Section
Articles