Number Theory

   

Conjecture on the Primes Obtained Concatenating Three Numbers, id Est a, B and A+b+n

Authors: Marius Coman

In this paper I make the following conjecture: For any n positive integer there exist an infinity of primes which can be deconcatenated in three numbers, i.e., from left to right, a, b and a + b + n. Examples: for n = 0, the least such prime is 101 (1 + 0 + 0 = 1); for n = 1, the least such prime is 113 (1 + 1 + 1 = 3); for n = 2, the least such prime is 103 (1 + 0 + 2 = 3); for n = 3, the least such prime is 137 (1 + 3 + 3 = 7); for n = 4, the least such prime is 127 (1 + 2 + 4 = 7); for n = 5, the least such prime is 139 (1 + 3 + 5 = 9); for n = 6, the least such prime is 107 (1 + 0 + 6 = 7); for n = 7, the least such prime is 3313 (3 + 3 + 7 = 13).

Comments: 2 Pages.

Download: PDF

Submission history

[v1] 2017-04-17 17:28:46

Unique-IP document downloads: 12 times

Vixra.org 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. Vixra.org 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