This papers deals with the introduction and preliminary study of the Smarandache minimum and maximum functions.

In this paper we basically verify the third Smarandache conjecture on prime.

In this paper, we introduce new adjoint curves which are associated in Euclidean space of three dimension. They generated with the help integral special Smarandache curves. We attain some connections between Frenet apparatus these and main curve. characterize conditions they general helix slant helix. Finally, exemplify them figures.

In this paper we prove that all Smarandache concatenated k-power decimals are irrational numbers. For any positive integer k, we define the Smarandache concatenated k-power decimal a k as follows: a l = 0.1234567891011..., a2 = 0.149162536496481100121... (1) a 3 = 0.18276412521634351272910001331..., ... , etc. In this peper we discuss the irrationally of ak' We prove the following result Theore...

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

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