ordpn: Order in Faculty
In numbers: Number-Theoretic Functions
ordpn R Documentation
Order in Faculty
Description
Calculates the order of a prime number p in n!, i.e. the
highest exponent e such that p^e|n!.
Usage
ordpn(p, n)
Arguments
p
prime number.
n
natural number.
Details
Applies the well-known formula adding terms floor(n/p^k).
Value
Returns the exponent e.
Examples
ordpn(2, 100) #=> 97
ordpn(7, 100) #=> 16
ordpn(101, 100) #=> 0
ordpn(997, 1000) #=> 1
numbers documentation built on Dec. 29, 2022, 4:07 p.m.
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| ordpn | R Documentation |
Order in Faculty
Description
Calculates the order of a prime number p in n!, i.e. the
highest exponent e such that p^e|n!.
Usage
ordpn(p, n)
Arguments
p |
prime number. |
n |
natural number. |
Details
Applies the well-known formula adding terms floor(n/p^k).
Value
Returns the exponent e.
Examples
ordpn(2, 100) #=> 97 ordpn(7, 100) #=> 16 ordpn(101, 100) #=> 0 ordpn(997, 1000) #=> 1
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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