1Math::NumSeq::MoranNumbUesresr(3C)ontributed Perl DocumeMnattaht:i:oNnumSeq::MoranNumbers(3)
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NAME

6       Math::NumSeq::MoranNumbers -- numbers divided by sum of digits giving a
7       prime
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SYNOPSIS

10        use Math::NumSeq::MoranNumbers;
11        my $seq = Math::NumSeq::MoranNumbers->new;
12        my ($i, $value) = $seq->next;
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DESCRIPTION

15       The Moran numbers,
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17           18, 21, 27, 42, 45, 63, 84, ...
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19       being integers which are divisible by the sum of their digits and that
20       division resulting in a prime.  For example 42 has digit sum 4+2=6 and
21       42/6=7 is an integer and a prime.
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23       This is a subset of the harshad numbers (Math::NumSeq::HarshadNumbers),
24       those being all integers divisible by the their digit sum.  The further
25       restriction here is that the division gives a prime.
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FUNCTIONS

28       See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence
29       classes.
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31       "$seq = Math::NumSeq::MoranNumbers->new ()"
32       "$seq = Math::NumSeq::MoranNumbers->new (radix => $r)"
33           Create and return a new sequence object.
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35           The optional "radix" parameter (default 10, decimal) sets the base
36           to use for the digits.
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38       "$bool = $seq->pred($value)"
39           Return true if $value is a Moran number, ie. is divisible by the
40           sum of its digits in the given "radix", and that division gives a
41           prime.
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SEE ALSO

44       Math::NumSeq, Math::NumSeq::DigitSum, Math::NumSeq::HarshadNumbers
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HOME PAGE

47       <http://user42.tuxfamily.org/math-numseq/index.html>
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LICENSE

50       Copyright 2012, 2013, 2014, 2016, 2019 Kevin Ryde
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52       Math-NumSeq is free software; you can redistribute it and/or modify it
53       under the terms of the GNU General Public License as published by the
54       Free Software Foundation; either version 3, or (at your option) any
55       later version.
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57       Math-NumSeq is distributed in the hope that it will be useful, but
58       WITHOUT ANY WARRANTY; without even the implied warranty of
59       MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
60       General Public License for more details.
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62       You should have received a copy of the GNU General Public License along
63       with Math-NumSeq.  If not, see <http://www.gnu.org/licenses/>.
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67perl v5.32.1                      2021-01-27     Math::NumSeq::MoranNumbers(3)