Advances in Pure Mathematics

Volume 14, Issue 5 (May 2024)

ISSN Print: 2160-0368   ISSN Online: 2160-0384

Google-based Impact Factor: 0.48  Citations  

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

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DOI: 10.4236/apm.2024.145018    196 Downloads   1,005 Views  
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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.

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Ndiaye, M. (2024) 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. Advances in Pure Mathematics, 14, 321-332. doi: 10.4236/apm.2024.145018.

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