Abstract (EN)
In this thesis, the history of prime numbers is briefly mentioned and definitions and theorems related to prime numbers are included. Some kind of prime numbers and some certain methods which are used to find prime numbers are perused. In addition, basic information on the distribution of prime numbers is given to show the irregularity of prime numbers. Some of the current articles that we have studied and have been the source of our findings are investigated. In this study, a pair of Sophie Germain prime and connected safe prime is referred to as SG-S-prime pair in short. As a sieving method for obtaining SG-S-prime pairs, a sieve formed from some instructions is proposed. We also provide an example of using this sieve to obtain SG-S-prime pairs up to 250. Moreover, in this thesis, a characterization of Sophie Germain primes by using congruences is given. Keywords: Prime numbers, Sophie Germain primes
Author
Dr. Recep Baştan
How to Cite
Recep Baştan (Master Thesis). On prime numbers, 2019, Giresun University.
Keywords
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