Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 3 4 2015 10 26 Study of Some Sequences of Prime Numbers Defined by Iteration 97 103 EN Idir Sadani Department of Mathematics, University of Mouloud Mammeri, Tizi-Ouzou. Algeria TJANT2015342 10.12691/tjant-3-4-2 2015 5 10 2015 8 9 2015 10 24 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.