Pierpont primes: Difference between revisions
Added Perl example
SqrtNegInf (talk | contribs) (Added Perl example) |
|||
Line 359:
The 2000th Pierpont prime (second kind) is: 1702224134662426018061116932011222570937093650174807121918750428723338890211147039320296240754205680537318845776107057915956535566573559841027244444877454493022783449689509569107393738917120492483994302725479684822283929715327187974256253064796234576415398735760543848603844607
</pre>
=={{header|Perl}}==
{{trans|Perl 6}}
{{libheader|ntheory}}
<lang perl>use strict;
use warnings;
use feature 'say';
use bigint try=>"GMP";
use ntheory qw<is_prime>;
# index of mininum value in list
sub min_index { my $b = $_[my $i = 0]; $_[$_] < $b && ($b = $_[$i = $_]) for 0..$#_; $i }
sub iter1 { my $m = shift; my $e = 0; return sub { $m ** $e++; } }
sub iter2 { my $m = shift; my $e = 1; return sub { $m * ($e *= 2) } }
sub pierpont {
my($max ) = shift || die 'Must specify count of primes to generate.';
my($kind) = @_ ? shift : 1;
die "Unknown type: $kind. Must be one of 1 (default) or 2" unless $kind == 1 || $kind == 2;
$kind = -1 if $kind == 2;
my $po3 = 3;
my $add_one = 3;
my @iterators;
push @iterators, iter1(2);
push @iterators, iter1(3); $iterators[1]->();
my @head = ($iterators[0]->(), $iterators[1]->());
my @pierpont;
do {
my $key = min_index(@head);
my $min = $head[$key];
push @pierpont, $min + $kind if is_prime($min + $kind);
$head[$key] = $iterators[$key]->();
if ($min >= $add_one) {
push @iterators, iter2($po3);
$add_one = $head[$#iterators] = $iterators[$#iterators]->();
$po3 *= 3;
}
} until @pierpont == $max;
@pierpont;
}
my @pierpont_1st = pierpont(250,1);
my @pierpont_2nd = pierpont(250,2);
say "First 50 Pierpont primes of the first kind:";
my $fmt = "%9d"x10 . "\n";
for my $row (0..4) { printf $fmt, map { $pierpont_1st[10*$row + $_] } 0..9 }
say "\nFirst 50 Pierpont primes of the second kind:";
for my $row (0..4) { printf $fmt, map { $pierpont_2nd[10*$row + $_] } 0..9 }
say "\n250th Pierpont prime of the first kind: " . $pierpont_1st[249];
say "\n250th Pierpont prime of the second kind: " . $pierpont_2nd[249];</lang>
{{out}}
<pre>First 50 Pierpont primes of the first kind:
2 3 5 7 13 17 19 37 73 97
109 163 193 257 433 487 577 769 1153 1297
1459 2593 2917 3457 3889 10369 12289 17497 18433 39367
52489 65537 139969 147457 209953 331777 472393 629857 746497 786433
839809 995329 1179649 1492993 1769473 1990657 2654209 5038849 5308417 8503057
First 50 Pierpont primes of the second kind:
2 3 5 7 11 17 23 31 47 53
71 107 127 191 383 431 647 863 971 1151
2591 4373 6143 6911 8191 8747 13121 15551 23327 27647
62207 73727 131071 139967 165887 294911 314927 442367 472391 497663
524287 786431 995327 1062881 2519423 10616831 17915903 18874367 25509167 30233087
250th Pierpont prime of the first kind: 62518864539857068333550694039553
250th Pierpont prime of the second kind: 4111131172000956525894875083702271</pre>
=={{header|Perl 6}}==
| |||