Dünya Sağlık ve Tabiat Bilimleri Dergisi

Öz

The Studies on numbers and number systems have attracted the attention of humanity from past to present. As people deepen their understanding of the relationships between numbers. One of the most important numerical terms is undoubtedly the prime numbers. Marin Mersenne, who studied on numbers, generated the term of mersen numbers at the beginning of 17th century and subsequently numbers that are both Mersenne and prime came to be known as Mersenne prime numbers. Later on the numbers that are both mersenne and prime were called as the mersenne prime numbers. The potential outcomes of studies related to prime numbers, especially in the fields of cryptography and information security, have the capacity to bring forth numerous developments that can significantly impact our lives. Therefore, this leads to a considerable amount of research being conducted, particularly in the fields of mathematics and computer science. Within the scope of this article, the term of mature numbers, which emerged during the studies on Mersenne prime numbers, was generated. According to this term, each number aims to be a mature number and later on it is assumed that each mature number will expand and reach a new level of maturity. Furthermore, the article introduces the Mature Numbers/MErsenne Number generator algorithm for the binary system and outlines certain rules goverining mature numbers.