number_minimumprimegap Number number_powermod

Number >> Number > number_multiprimality

number_multiprimality

Returns the number of prime factors of n.

Calling Sequence

r = number_multiprimality ( n )

Parameters

n :

a r-by-c matrix of floating point integers

r :

a r-by-c matrix of floating point integers

Description

Returns the number of prime factors, not necessarily distinct, of n.

Examples

number_multiprimality ( 4 ) // 2

// This function is vectorized
number_multiprimality ( 1:20 )
expected = [1, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 2, 4, 1, 3, 1, 3]

// Plot it
scf();
n = 1:100;
r = number_multiprimality ( n );
plot(n,r)
xtitle("Multiprimality","n","Number of non-distinct prime factors")

Bibliography

http://mathworld.wolfram.com/PrimeFactor.html

Authors

number_minimumprimegap Number number_powermod