On Generalized 2-primes Numbers
Yuksel Soykan *
Department of Mathematics, Faculty of Art and Scinece, Zonguldak B¨ ulent Ecevit University, 67100, Zonguldak, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduce the generalized 2-primes sequences and we deal with, in detail, three special cases which we call them 2-primes, Lucas 2-primes and modified 2-primes sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences.
Keywords: 2-primes numbers, Lucas 2-primes numbers, generalized Fibonacci numbers.