NAME
Math::NumSeq::AllPrimeFactors  prime factors of the integers
SYNOPSIS
use Math::NumSeq::AllPrimeFactors;
my $seq = Math::NumSeq::AllPrimeFactors>new;
my ($i, $value) = $seq>next;
DESCRIPTION
This is a list of the prime factors of the integers 2, 3, 4, etc
# starting i=1
2, 3, 2, 2, 5, 2, 3, 7, 2, 2, 2, 3, 3, 2, 5, 11, ...
\/ \/ \/ \/ \/
4 5 6 7 8 9 10 11
Order
The optional order
parameter (a string) can control the order of the primes within each integer,
"ascending" the default
"descending"
For example desending rearranges the values to
# order => "descending"
2, 3, 2, 2, 5, 3, 2, 7, 2, 2, 2, 3, 3, 5, 2, 11, ...
\/ \/ \/ \/ \/
4 5 6 7 8 9 10 11
The first difference is 3,2 for 6.
Multiplicity
Option multiplicity => "distinct"
can give just one copy of each prime factor.
# multiplicity => "distinct"
2, 3, 2, 5, 2, 3, 7, 2, 3, 2, 5, 11, ...
\/ \/
4 5 6 7 8 9 10 11
On Values
Option on_values
can give the prime factors of just some integers,
"all" the default
"composites" the nonprimes from 4 onwards
"odd" odd integers 3 onwards
"even" even integers 2 onwards
"odd" is not simply a matter of filtering out 2s from the sequence, since it takes the other primes from the even integers too, such as the 3 from 6.
# on_values => "odd"
3, 5, 7, 3, 3, 11, 13, 3, 5, 17,
\/ \/
9 15
FUNCTIONS
See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.
$seq = Math::NumSeq::AllPrimeFactors>new ()
$seq = Math::NumSeq::AllPrimeFactors>new (order => $str, multiplicity => $str, on_values => $str)

Create and return a new sequence object.
$bool = $seq>pred($value)

Return true if
$value
occurs in the sequence. This simply means$value
a prime, or foron_values=>'odd'
an odd prime.
SEE ALSO
Math::NumSeq, Math::NumSeq::PrimeFactorCount, Math::NumSeq::AllDigits
HOME PAGE
http://user42.tuxfamily.org/mathnumseq/index.html
LICENSE
Copyright 2012 Kevin Ryde
MathNumSeq is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3, or (at your option) any later version.
MathNumSeq is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
You should have received a copy of the GNU General Public License along with MathNumSeq. If not, see <http://www.gnu.org/licenses/>.