Study of Some Sequences of Prime Numbers Defined by Iteration

Idir Sadani^1,

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

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

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:
distribution of prime numbers equivalence relation iteration asymptotic formula

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References:

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