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Task/Extensible-prime-generator/Perl/extensible-prime-generator-1.pl

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+use Math::Prime::Util qw(nth_prime prime_count primes);
+# Direct solutions.
+# primes([start],end) returns an array reference with all primes in the range
+# prime_count([start],end) uses sieving or LMO to return fast prime counts
+# nth_prime(n) does just that.  It runs quite fast for native size inputs.
+say "First 20: ", join(" ", @{primes(nth_prime(20))});
+say "Between 100 and 150: ", join(" ", @{primes(100,150)});
+say prime_count(7700,8000), " primes between 7700 and 8000";
+say "${_}th prime: ", nth_prime($_) for map { 10**$_ } 1..8;

Task/Extensible-prime-generator/Perl/extensible-prime-generator-2.pl

@@ -0,0 +1,12 @@
+use Math::Prime::Util "prime_iterator_object";
+my $it = prime_iterator_object;
+say "First 20: ", join(" ", map { $it->iterate() } 1..20);
+$it->seek_to_value(100);
+print "Between 100 and 150:";
+print " ", $it->iterate() while $it->value() <= 150;
+print "\n";
+$it->seek_to_value(7700);
+my $c = 0;
+$c++ while $it->iterate() <= 8000;
+say "$c primes between 7700 and 8000";
+say "${_}th prime: ", $it->ith($_) for map { 10**$_ } 1..8;

Task/Extensible-prime-generator/Perl/extensible-prime-generator-3.pl

@@ -0,0 +1,13 @@
+use Math::Prime::Util qw/forprimes/;
+use Math::Prime::Util::PrimeArray;
+tie my @primes, 'Math::Prime::Util::PrimeArray';
+
+say "First 20: @primes[0..19]";  # Slice from the tied array
+print "Between 100 and 150: ";  forprimes { print " $_"; } 100,150;  print "\n";
+# Count with forprimes
+my $c = 0;
+forprimes { $c++ } 7700,8000;
+print "$c primes between 7700 and 8000\n";
+# The tied array tries to do the right thing -- sieve a window if it sees
+# forward or backward iteration, and nth_prime if it looks like random access.
+say "${_}th prime: ", $primes[$_-1] for map { 10**$_ } 1..8;

Task/Extensible-prime-generator/Perl/extensible-prime-generator-4.pl

@@ -0,0 +1,5 @@
+use bigint;
+use Math::Prime::Util qw/forprimes prime_get_config/;
+warn "No GMP, expect slow results\n" unless prime_get_config->{gmp};
+my $n = 10**200;
+forprimes { say $_-$n } $n,$n+1000;