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perl bin/algorithm3.pl 1_000_000_000
Prime numbers : 50847534
Compute time  : 0.163 sec
...
perl -Mntheory=:all -E 'say prime_count(1e9)'
50847534
0.020s user time

perl bin/algorithm3.pl 4_294_967_296 --sum
Sum of primes : 425649736193687430
Compute time  : 1.222 sec
...
perl -Mntheory=:all -E 'my $s=0; forprimes { $s+=$_ } 2**32; say $s'
425649736193687430
11.198s user time

perl bin/algorithm3.pl 4_294_967_296 --print >/dev/null
Compute time  : 3.279 sec

...

primesieve -p1 2**32 >/dev/null
172.9s user time