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CarmichaelLambda
CarmichaelLambda
[
n
]
gives the Carmichael function
, defined as the smallest integer
m
such that
for all
k
relatively prime to
n
.
MORE INFORMATION
Integer mathematical function, suitable for both symbolic and numerical manipulation.
CarmichaelLambda
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
The first ten values of
CarmichaelLambda
:
In[1]:=
Out[1]=
Plot the Carmichael function:
In[1]:=
Out[1]=
Scope
(2)
Generalizations & Extensions
(1)
Applications
(3)
Properties & Relations
(3)
Neat Examples
(1)
SEE ALSO
MultiplicativeOrder
EulerPhi
PrimitiveRoot
RealDigits
TUTORIALS
Integer and Number Theoretic Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Cryptographic Number Theory
Number Theoretic Functions
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© 2008 Wolfram Research, Inc.
, defined as the smallest integer m such that 
for all k relatively prime to n.
EXAMPLES
Basic Examples 
Scope 