Number Theory

    

30 Ideas about Prime Numbers

Authors: Pedro Jesus Caceres

A Prime number (or a Prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. The crucial importance of Prime numbers to number theory and mathematics in general stems from the fundamental theorem of arithmetic, which states that every integer larger than 1 can be written as a product of one or more Primes in a way that is unique except for the order of the Prime factors. Primes can thus be considered the “basic building blocks”, the atoms, of the natural numbers. In this paper we present 30 ideas about Primes. Some are based on the fact that all Primes greater than 3, are 1 unit away from a multiple of 1, 2, 3, 4, or 6, which is used to introduce new methods to factorize, to count Primes less than a given number, and to add some ideas to already famous Prime conjectures.

Comments: 49 Pages.

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Submission history

[v1] 2017-03-23 01:28:34
[v2] 2017-03-29 20:38:48
[v3] 2020-05-03 18:43:46

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