Authors: Marco Ripà
The paper shows that the only possible prime terms of the "consecutive sequence" (1,12,123,1234...) represent of the total, and their structure is explicited. This outcome is then extended to every permutation of their figures. The previous result is applied to a consistent subset of elements belonging to the circular sequence (resulting from the consecutive one), identifying moreover the 31 first primes. Therefore, a criterion is illustrated (further extendible) that progressively reduces the numerousness of the "candidate prime numbers". Section 3.3 is devoted to the solution of a similar problem. The last section introduces a new sequence which, although much larger, has the same properties as the previous ones, and it also proposes a few open problems.
Comments: This paper is 17 pages long and the Italian version has already been published here: (http://www.rudimathematici.com/bookshelf/bookshelfdb.php).
Unique-IP document downloads: 302 times
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.