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numtheory

  

lambda

  

Carmichael's lambda function

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

lambda(n)

Parameters

n

-

integer

Description

• 

Important: The numtheory[lambda] command has been deprecated.  Use the superseding command NumberTheory[CarmichaelLambda] instead.

• 

The size of the largest cyclic group generated by gimodn is given by lambda(n).

• 

Carmichael's theorem states that aλn=1modn if gcda,n=1.

• 

The command with(numtheory,lambda) allows the use of the abbreviated form of this command.

Examples

withnumtheory:

λ13

12

(1)

λ200

20

(2)

λ105

12

(3)

See Also

igcd

mod

numtheory[phi]

 


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