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C. J. de la Vallée Poussin, “Recherche analytique sur la théorie des nombres”, Ann. Soc. Sci. Bruxelle, 20. 183-256. 1896.

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Article

Study of Some Sequences of Prime Numbers Defined by Iteration

1Department of Mathematics, University of Mouloud Mammeri, Tizi-Ouzou. Algeria


Turkish Journal of Analysis and Number Theory. 2015, Vol. 3 No. 4, 97-103
DOI: 10.12691/tjant-3-4-2
Copyright © 2015 Science and Education Publishing

Cite this paper:
Idir Sadani. Study of Some Sequences of Prime Numbers Defined by Iteration. Turkish Journal of Analysis and Number Theory. 2015; 3(4):97-103. doi: 10.12691/tjant-3-4-2.

Correspondence to: Idir  Sadani, Department of Mathematics, University of Mouloud Mammeri, Tizi-Ouzou. Algeria. Email: sadani.idir@yahoo.fr

Abstract

We study the properties of prime number sequences obtained using a well-defined equivalence relation . It will be seen that the elements of each class of are all prime numbers which constitute the fundamental object of our study. The number of prime numbers of each class less than or equal to a given quantity , the number of the different equivalence classes and some other results will be deduced.

Keywords