Smarandache function
From Encyclopedia of Mathematics
Given a natural number 
, the value of the Smarandache function 
at 
is the smallest natural number 
such that 
divides 
. An elementary observation is that 
, and that 
if and only if 
is a prime number or equal to 
.
References
| [a1] | F. Smarandache, "A function in number theory" Smarandache Function J. , 1 (1990) pp. 3–65 |
How to Cite This Entry:
Smarandache function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Smarandache_function&oldid=50070
Smarandache function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Smarandache_function&oldid=50070
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article