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- #!/usr/bin/perl
- # Floor of log of product of all primes between n!+1 and (n+1)!.
- # https://oeis.org/A294196
- use 5.014;
- use Math::GMPz qw();
- use Math::MPFR qw(MPFR_RNDZ);
- use ntheory qw(forprimes factorial);
- for my $n (2..100) {
- my $f = 0;
- forprimes {
- $f += log($_);
- } factorial($n)+1, factorial($n+1);
- say "floor($f) = ", int($f);
- }
- __END__
- floor(2.70805020110221) = 2
- floor(15.821901318467) = 15
- floor(87.846705739409) = 87
- floor(579.092934941327) = 579
- floor(4276.65691765426) = 4276
- floor(35103.7037849562) = 35103
- floor(322168.829509598) = 322168
- floor(3264471.9003149) = 3264471
- floor(36285842.9959193) = 36285842
- floor(439070392.951992) = 439070392
- floor(5747983086.45772) = 5747983086
- floor(2.70805020110221007) = 2
- floor(15.8219013184670268) = 15
- floor(87.8467057394090264) = 87
- floor(579.092934941326837) = 579
- floor(4276.65691765426939) = 4276
- floor(35103.7037849562028) = 35103
- floor(322168.82950959723) = 322168
- floor(3264471.90031498688) = 3264471
- floor(36285842.9959180593) = 36285842
- floor(439070392.95186203) = 439070392
- floor(5747983086.4605573) = 5747983086
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