Ndiaye, M. (2024) Preliminary Identification of a Prime Number Other than 2 and 3, the Origin of Twin Prime Numbers, the Structure of the Chain of Prime Numbers and the Set of Prime Numbers Less Than a Given Integer. Advances in Pure Mathematics, 14, 30-48.

has been cited by the following article:

• TITLE: Origin of Sexy Prime Numbers, Origin of Cousin Prime Numbers, Equations from Supposedly Prime Numbers, Origin of the Mersenne Number, Origin of the Fermat Number

  AUTHORS: Mady Ndiaye

  KEYWORDS: Cousin Prime Numbers, Sexy Prime Numbers, Real Sexy Prime Numbers, Equations from Supposed Prime Numbers, Mersenne Number, Fermat Number, Supposed Prime Numbers, Prime Numbers

  JOURNAL NAME: Advances in Pure Mathematics, Vol.14 No.5, May 8, 2024

  ABSTRACT: We have found through calculations that the differences between the closest supposed prime numbers other than 2 and 3 defined in the articles are: 2; 4: and 6. For those whose difference is equal to 6, we showed their origin then we classified them into two categories according to their classes, we showed in which context two prime numbers which differ from 6 are called sexy and in what context they are said real sexy prime. For those whose difference is equal to 4, we showed their origin then we showed that two prime numbers which differ from 4, that is to say two cousin prime numbers, are successive. We made an observation on the supposed prime numbers then we established two pairs of equations from this observation and deduced the origin of the Mersenne number and that of the Fermat number.