Introducing a New Standard Formula for Finding Prime Numbers

Tiyaonse Chisanga Kabwe

doi:https://doi.org/10.14445/22315373/IJMTT-V25P511

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 25 | Number 2 | Year 2015 | Article Id. IJMTT-V25P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V25P511

Introducing a New Standard Formula for Finding Prime Numbers

Tiyaonse Chisanga Kabwe

Citation :

Tiyaonse Chisanga Kabwe, "Introducing a New Standard Formula for Finding Prime Numbers," International Journal of Mathematics Trends and Technology (IJMTT), vol. 25, no. 2, pp. 59-109, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V25P511

Abstract

This article introduces a new standard formula for finding prime numbers and shows the various methods of determining its solution set. The formula is standard in three ways. Firstly, it reveals the natural location of prime numbers on the sequence of natural numbers. Secondly, there is no prime other than 2 and 3 on the endless sequence of natural numbers that it can skip or fail to locate. Thirdly, it provides a basis upon which other formulas for locating primes can be discovered. The formula is P = 3nso ± 2, where nso is any special odd number equal to or greater than 1 , which numbers belong to appropriate solution sets for the formula. The plus and minus operations have each a unique solution set of endless elements. The variable nso represents specific odd numbers that satisfies the formula.. If appropriate solution sets are identified and their elements used to replace the variable, each and every value to be obtained will be a prime. If elements of these solution sets are systematically substituted for the variable, one after another in their endless chain of succession, the formula will yield each and every succeeding prime beginning with prime 5 and going on without end.

Keywords

This article introduces a new standard formula for finding prime numbers and shows the various methods of determining its solution set. The formula is standard in three ways.

References

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