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- #!/usr/bin/perl
- # Primes p such that, starting with p, 10 consecutive primes = {1,2,3,4,5,6,7,8,9,10} modulo 11.
- # https://oeis.org/A338374
- use 5.014;
- use warnings;
- use ntheory qw(:all);
- # New terms found:
- # 1053978912361, 1113788109127, 1188162419291, 1562407603483
- my $from = prev_prime(715117260463-1e7);
- my @root = $from;
- while (@root < 9) {
- $from = next_prime($from);
- push @root, $from;
- }
- forprimes {
- if ($_ % 11 == 10 and $root[0]%11 == 1) {
- my $ok = 1;
- foreach my $k (2..9) {
- if (($root[$k-1] % 11) != $k) {
- $ok = 0;
- last;
- }
- }
- say $root[0] if $ok;
- }
- push @root, $_;
- shift @root;
- } next_prime($from), 1e14;
- __END__
- 715117260463
- 1053978912361
- 1113788109127
- 1188162419291
- 1562407603483
- ^C
- perl x.pl 5762.19s user 6.53s system 98% cpu 1:37:21.95 total
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