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```
k = 3 - k;
```

/* Sieve of Eratosthenes.  Return a reference to an array containing a
+ll
 * prime numbers less than or equal to search_to.  Uses an optimized s
+ieve
...
          av_push( av, newSVuv( static_cast<unsigned long>( i ) ) );
    return newRV_noinc( (SV*) av );
}

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/* Sieve of Xuedong Luo (Algorithm3). Return a reference to an array
 * containing all prime numbers less than or equal to search_to.
...

    return newRV_noinc( (SV*) av );
}

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my $primes = primes( 1_000_000_000 );

...

There are 50,847,534 prime numbers between 1 and 1 billion.

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#
# Count primes
...

perl primeutil.pl  4_294_967_296 --print >/dev/null
Compute time  : 13.470 sec

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Count primes

...
   $ perl primeutil.pl 4294967296 --print >/dev/null
   Compute time  : 1.925 sec