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#!/usr/bin/perl
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use strict; # https://rosettacode.org/wiki/Earliest_difference_between_prime_gaps
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use warnings;
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use ntheory qw( primes );
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my @gaps;
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my $primeref = primes( 1e9 );
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for my $i ( 2 .. $#$primeref )
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{
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my $diff = $primeref->[$i] - $primeref->[$i - 1];
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$gaps[ $diff >> 1 ] //= $primeref->[$i - 1];
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}
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my %first;
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for my $i ( 1 .. $#gaps )
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{
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defined $gaps[$i] && defined $gaps[$i-1] or next;
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my $diff = abs $gaps[$i] - $gaps[$i-1];
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for my $m ( map 10 ** $_, 1 .. 10 )
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{
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$diff > $m and !$first{$m}++ and
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print "above $m gap @{[$i * 2 - 2 ]} abs( $gaps[$i-1] - $gaps[$i] )\n";
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}
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}
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