Smarandache function
From Encyclopedia of Mathematics
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
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=14174
Smarandache function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Smarandache_function&oldid=14174
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article