Using a trick from the web site you linked to, this runs very quickly to get the 7 4-digit vampire numbers. $digits is the length of the factors; set it to 3 and it got the 6-digit numbers in a reasonable time, too (939658 = 986 * 953, for the largest example).
my $digits = 2; my @mods; for ([0,0],[2,2],[3,6],[5,8],[6,3],[8,5]) { $mods[$_->[0]] = $_->[1]; } my $min_factor = 1 . (0 x ($digits-1)); for my $a ($min_factor .. (9 x $digits)) { if (defined $mods[$a % 9]) { for (my $b = $min_factor - 1 + ($mods[$a % 9]||9); $b <= $a; $ +b += 9) { my $prod = $a * $b; my $fdigits = join '', sort map {split //} $a, $b; my $pdigits = join '', sort split //, $prod; if ($pdigits eq $fdigits) { print "$a * $b = $prod\n"; } } } }
Update: better way of excluding short factors.

Caution: Contents may have been coded under pressure.

In reply to Re: Vampire Numbers Revisited by Roy Johnson
in thread Vampire Numbers Revisited by Limbic~Region

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