There is a newer version of the record available.

Published March 30, 2022 | Version v1
Preprint Open

Primality test. My second contribution.

Authors/Creators

Description

This article describes a better result than that described in the article "Primality test. My contribution".The reference is still Fermat's little theorem.

However, I changed the base from 2 to 3; so in this article I start from (3^a-3)/a.

I consider (3^a-3)/a as the comparison of two sequences which I call (a) and (b); it is evident that the numbers present in the sequence (b) are a function (b=3^a-3) of the corresponding numbers present in the sequence (a).

As described in the previous article I have again worked on the reason for the growth of the numbers belonging to the sequence (b) starting by removing the dependence on the corresponding numbers of the sequence (a).

According to the verifications I made, I found a beginning and a reason for growth for the numbers belonging to the sequence (b) such that the result of b/a is always an integer if the number of the sequence (a) is a prime number and on the contrary b / a is always a fractional number if the number of the sequence (a) is a composite number.

Files

01 Primality test. My second contribution.pdf

Files (84.2 kB)

Name Size Download all
md5:8e9aa72b15c6b637bc3a195f56f4f23c
84.2 kB Preview Download