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Math-NumSeq-6
River stage zero No dependents
/ Math::NumSeq::PrimeFactorCount

NAME

Math::NumSeq::PrimeFactorCount -- how many prime factors

SYNOPSIS

use Math::NumSeq::PrimeFactorCount;
my $seq = Math::NumSeq::PrimeFactorCount->new;
my ($i, $value) = $seq->next;

DESCRIPTION

The sequence of how many prime factors in i, being 0, 1, 1, 2, 1, 2, etc.

The sequence starts from i=1 and that 1 is taken to have 0 prime factors. Then i=2 and i=3 are themselves primes, so 1 prime factor. Then i=4 is 2*2 which is 2 prime factors.

The multiplicity => "distinct" option can control whether repeats of a prime factors are counted, or only distinct primes. For example with "distinct" i=4=2*2 is just 1 prime factor.

FUNCTIONS

$seq = Math::NumSeq::PrimeFactorCount->new ()
$seq = Math::NumSeq::PrimeFactorCount->new (multiplicity => 'distinct')

Create and return a new sequence object.

$value = $seq->ith($i)

Return the number of prime factors in $i.

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

Return true if $value >= 0, being possible counts of prime factors which can occur in the sequence.

SEE ALSO

Math::NumSeq, Math::NumSeq::Primes, Math::NumSeq::MobiusFunction

HOME PAGE

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

LICENSE

Copyright 2010, 2011 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/>.