NAME

Math::NumSeq::TotientPerfect -- sum of repeated totients is N itself

SYNOPSIS

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

DESCRIPTION

Numbers for which the sum of repeated totients until reaching 1 gives the starting n itself. For example totient(15)=8, totient(8)=4, totient(4)=2 and totient(1)=1. Adding them up 8+4+2+1=15 so 15 is a perfect totient.

FUNCTIONS

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

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

Create and return a new sequence object.

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

Return true if $value is a perfect totient.

SEE ALSO

Math::NumSeq, Math::NumSeq::Totient, Math::NumSeq::TotientSteps

HOME PAGE

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

LICENSE

Copyright 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/>.