Cite This Article Edalatpanah, S. A., Smarandache, F. (2023). Introduction to the Special Issue on Advances in Neutrosophic and Plithogenic Sets for Engineering Sciences: Theory, Models, Applications. CMES-Computer Modeling & Sciences, 134(2), 817–819.

In this paper . we prove that the Smarandache higeher power product sequences of the first kind and the second kind do not contain squares.

In this paper we completely determine the primes in the Smarandache power product sequences of the second kind

This book is dedicated to the memory of Florentin Smarandache, who listed many new and unsolved problems in number theory.

Noel Batista Hernández, Maikel Y. Leyva Vázquez, Erick González Caballero, Lilia E. Valencia Cruzaty, Wilmer Ortega Chávez, and Florentin Smarandache. International Journal of Fuzzy Logic Intelligent Systems 2021;21:280-92. https://doi.org/10.5391/IJFIS.2021.21.3.280

A Smarandache-Fibonacci triple is a sequence S(n), n ≥ 0 such that S(n) = S(n − 1) + S(n − 2), where S(n) is the Smarandache function for integers n ≥ 0. Clearly, it is a generalization of Fibonacci sequence and Lucas sequence. Let G be a (p, q)-graph and {S(n)|n ≥ 0} a Smarandache-Fibonacci triple. An bijection f : V (G) → {S(0), S(1), S(2), . . . , S(q)} is said to be a super Smarandache-Fibo...

For any positive integer n and fixed integer t ≥ 1, we define function Ut(n) = min{k : 1 t + 2 t + · · · + n t + k = m, n | m, k ∈ N + , t ∈ N + }, where n ∈ N + , m ∈ N + , which is a new pseudo Smarandache function. The main purpose of this paper is using the elementary method to study the properties of Ut(n), and obtain some interesting identities involving function Ut(n). In reference [1], ...

The Sandor-Smarandache function, SS(n), is a recently introduced Smarandache-type arithmetic which involves binomial coefficients. It known that SS(n) does not possess many of the common properties classical functions theory numbers. Sandor gave expression when n ( ³ 3) an odd integer. found has simple form even and divisible by 3. In previous papers, some closed-form expressions have been deri...