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).
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[v1] 28 Jan 2011
[v2] 4 Mar 2011
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