Title :
A Lower Bound for the Smarandache Function Value
Author :
Yanchun, Guo ; Ganglian, Ren ; Yifang, Yang
Author_Institution :
Coll. of Math. & Inf. Sci., Xianyang Teacher´´s Univ., Xianyang, China
Abstract :
For any integer, the famous Smarandache function is defined as the smallest positive integer such that. That is, where denotes the set of all positive integers. The main purpose of this paper is using the elementary method to study the lower bound of the Smarandache function, and get that if, then, where is the integral part of logn/loglogn.
Keywords :
number theory; Smarandache function value; elementary method; positive integer; Educational institutions; Electronic mail; Equations; Information science; System-on-a-chip; Smarandache function; lower bound; shifted factorial;
Conference_Titel :
Computational Intelligence and Security (CIS), 2011 Seventh International Conference on
Conference_Location :
Hainan
Print_ISBN :
978-1-4577-2008-6
DOI :
10.1109/CIS.2011.313
