17. Euler's phi function | R Documentation |
Euler's Phi Function for vli (Very Large Integers) objects. Given a positive integer x
, the Euler's Phi Function returns the number of positive integers up to x
that are relatively prime to x
.
phi(x)
## Default S3 method:
phi(x)
## S3 method for class 'numeric'
phi(x)
## S3 method for class 'vli'
phi(x)
x |
positive integer; object of class vli or 32 bits integer |
The returned value by the phi
function is equal to the order of the group of units of the ring Z/Zn
(the multiplicative group of integers modulo n
). It is also called Euler's Totient Function, and plays a major part in Number Theory and in the RSA Cryptosystem.
object of class vli
Javier Leiva Cuadrado
## Not run:
x <- as.vli("24352")
phi(x)
## End(Not run)
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