Number Theory


Patterns Related to the Smarandache Circular Sequence Primality Problem

Authors: Marco Ripà

In this paper, we show the internal relations among the elements of the circular sequence (1,12,21,123,231,312,1234,2341,�). We illustrate one method to minimize the number of the �candidate prime numbers� up to a given term of the sequence. So, having chosen a particular prime divisor, it is possible to analyze only a fixed number of the smallest terms belonging to a given range, thus providing the distribution of that prime factor in a larger set of elements. Finally, we combine these results with another one, also expanding the study to a few new integer sequences related to the circular one.

Comments: 21 Pages.

Download: PDF

Submission history

[v1] 16 Mar 2011
[v2] 4 Dec 2011

Unique-IP document downloads: 237 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus