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 the prime factors of integers 2, 3, 4, etc

# starting i=1
2, 3, 2, 2, 5, 2, 3, 7, 2, 2, 2, 3, 3, 2, 5, 11, ...

Order

The optional order parameter (a string) can control the order of the primes of each integer,

"ascending"     the default
"descending"

For example desending rearranges the values to

2, 3, 2, 2, 5, 3, 2, 7, 2, 2, 2, 3, 3, 5, 2, 11, ...

The first difference is at 5,3,2 instead of 5,2,3, those 2,3 being the prime factors of 6 either ascending or descending.

Multiplicity

Option multiplicity => "distinct" can give just one copy of each prime factor. For example with 9=3*3 gives just one value 3 in the sequence instead of two.

2, 3, 2, 5, 2, 3, 7, 2, 3, 2, 5, 11, ...

FUNCTIONS

See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.

$seq = Math::NumSeq::Digit->new ()

$seq = Math::NumSeq::Digit->new (radix => $r, order => $o)

Create and return a new sequence object.

$bool = $seq->pred($value)

Return true if $value occurs in the sequence, which means $value is a prime, or for on_values=>'odd' an odd prime.

SEE ALSO

Math::NumSeq, Math::NumSeq::PrimeFactorCount, Math::NumSeq::AllDigits, Math::NumSeq::SqrtPrimeFactors

HOME PAGE

http://user42.tuxfamily.org/math-numseq/index.html

LICENSE

Copyright 2012 Kevin Ryde

Math-NumSeq 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.

Math-NumSeq 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 Math-NumSeq. If not, see <http://www.gnu.org/licenses/>.