Sexy primes: Difference between revisions

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::*Note that 1000033 '''SHOULD NOT''' be counted in the pair count. It is sexy, but not in a pair within the limit. However, it also '''SHOULD NOT''' be listed in the unsexy primes since it is sexy.

=={{header|AWK}}==

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5 11 17 23 29,

</pre>

=={{header|C}}==

Similar approach to the Go entry but only stores the arrays that need to be printed out.

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[999853, 999863, 999883, 999907, 999917, 999931, 999961, 999979, 999983, 1000003]

</pre>

=={{header|Pascal}}==

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# ... identical output code</lang>

=={{header|Perl 6}}==

<lang perl6>use Math::Primesieve;

my $sieve = Math::Primesieve.new;

my $max = 1_000_035;

my @primes = $sieve.primes($max);

my $filter = @primes.Set;

my $primes = @primes.categorize: &sexy;

say "Total primes less than {comma $max}: ", comma +@primes;

for <pair 2 triplet 3 quadruplet 4 quintuplet 5> -> $sexy, $cnt {

say "Number of sexy prime {$sexy}s less than {comma $max}: ", comma +$primes{$sexy};

say " Last 5 sexy prime {$sexy}s less than {comma $max}: ",

join ' ', $primes{$sexy}.tail(5).grep(*.defined).map:

{ "({ $_ «+« (0,6 … 24)[^$cnt] })" }

say '';

}

say "Number of unsexy primes less than {comma $max}: ", comma +$primes<unsexy>;

say " Last 10 unsexy primes less than {comma $max}: ", $primes<unsexy>.tail(10);

sub sexy ($i) {

gather {

take 'quintuplet' if all($filter{$i «+« (6,12,18,24)});

take 'quadruplet' if all($filter{$i «+« (6,12,18)});

take 'triplet' if all($filter{$i «+« (6,12)});

take 'pair' if $filter{$i + 6};

take (($i >= $max - 6) && ($i + 6).is-prime) ||

(so any($filter{$i «+« (6, -6)})) ?? 'sexy' !! 'unsexy';

}

sub comma { $^i.flip.comb(3).join(',').flip }</lang>

<pre>Total primes less than 1,000,035: 78,500

Number of sexy prime pairs less than 1,000,035: 16,386

Last 5 sexy prime pairs less than 1,000,035: (999371 999377) (999431 999437) (999721 999727) (999763 999769) (999953 999959)

Number of sexy prime triplets less than 1,000,035: 2,900

Last 5 sexy prime triplets less than 1,000,035: (997427 997433 997439) (997541 997547 997553) (998071 998077 998083) (998617 998623 998629) (998737 998743 998749)

Number of sexy prime quadruplets less than 1,000,035: 325

Last 5 sexy prime quadruplets less than 1,000,035: (977351 977357 977363 977369) (983771 983777 983783 983789) (986131 986137 986143 986149) (990371 990377 990383 990389) (997091 997097 997103 997109)

Number of sexy prime quintuplets less than 1,000,035: 1

Last 5 sexy prime quintuplets less than 1,000,035: (5 11 17 23 29)

Number of unsexy primes less than 1,000,035: 48,627

Last 10 unsexy primes less than 1,000,035: (999853 999863 999883 999907 999917 999931 999961 999979 999983 1000003)</pre>

=={{header|Phix}}==

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1000003

</pre>

=={{header|Raku}}==

(formerly Perl 6)

<lang perl6>use Math::Primesieve;

my $sieve = Math::Primesieve.new;

my $max = 1_000_035;

my @primes = $sieve.primes($max);

my $filter = @primes.Set;

my $primes = @primes.categorize: &sexy;

say "Total primes less than {comma $max}: ", comma +@primes;

for <pair 2 triplet 3 quadruplet 4 quintuplet 5> -> $sexy, $cnt {

say "Number of sexy prime {$sexy}s less than {comma $max}: ", comma +$primes{$sexy};

say " Last 5 sexy prime {$sexy}s less than {comma $max}: ",

join ' ', $primes{$sexy}.tail(5).grep(*.defined).map:

{ "({ $_ «+« (0,6 … 24)[^$cnt] })" }

say '';

}

say "Number of unsexy primes less than {comma $max}: ", comma +$primes<unsexy>;

say " Last 10 unsexy primes less than {comma $max}: ", $primes<unsexy>.tail(10);

sub sexy ($i) {

gather {

take 'quintuplet' if all($filter{$i «+« (6,12,18,24)});

take 'quadruplet' if all($filter{$i «+« (6,12,18)});

take 'triplet' if all($filter{$i «+« (6,12)});

take 'pair' if $filter{$i + 6};

take (($i >= $max - 6) && ($i + 6).is-prime) ||

(so any($filter{$i «+« (6, -6)})) ?? 'sexy' !! 'unsexy';

}

sub comma { $^i.flip.comb(3).join(',').flip }</lang>

<pre>Total primes less than 1,000,035: 78,500

Number of sexy prime pairs less than 1,000,035: 16,386

Last 5 sexy prime pairs less than 1,000,035: (999371 999377) (999431 999437) (999721 999727) (999763 999769) (999953 999959)

Number of sexy prime triplets less than 1,000,035: 2,900

Last 5 sexy prime triplets less than 1,000,035: (997427 997433 997439) (997541 997547 997553) (998071 998077 998083) (998617 998623 998629) (998737 998743 998749)

Number of sexy prime quadruplets less than 1,000,035: 325

Last 5 sexy prime quadruplets less than 1,000,035: (977351 977357 977363 977369) (983771 983777 983783 983789) (986131 986137 986143 986149) (990371 990377 990383 990389) (997091 997097 997103 997109)

Number of sexy prime quintuplets less than 1,000,035: 1

Last 5 sexy prime quintuplets less than 1,000,035: (5 11 17 23 29)

Number of unsexy primes less than 1,000,035: 48,627

Last 10 unsexy primes less than 1,000,035: (999853 999863 999883 999907 999917 999931 999961 999979 999983 1000003)</pre>

=={{header|REXX}}==