There's a bmodpow method in Math::BigInt, that calculates a power of a number over a modulus. (I think this would still be a very slow primality test that way.)

Update: or you could leave M::BI out altogether and use a hand-rolled modpow function, such as 

sub modpow { my($b, $p, $m) = @_; my $r = 1; for (;;) { $p & 1 and $r 
+= ($r * $b) % $m; 0 < ($p >>= 1) or last; $b = ($b * $b) % $m; } $r; 
+} 
$s = 0; for $n (2..1000) { modpow($_, $n - 1, $n) != 1 and goto G for 
+2 .. $n - 1; print $n, " appears to be prime ", ++$s, "\n";  G: }

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Update: or, without the goto: 

sub modpow { my($b, $p, $m) = @_; my $r = 1; for (;;) { $p & 1 and $r 
+= ($r * $b) % $m; 0 < ($p >>= 1) or last; $b = ($b * $b) % $m; } $r; 
+} $s = 0; 
G: for $n (2..1000) { modpow($_, $n - 1, $n) != 1 and next G for 2 .. 
+$n - 1; print $n, " is prime number ", ++$s, "\n"; }

[download]

In reply to Re: Prime number generation, and range operator by ambrus
in thread Prime number generation, and range operator by dReKurCe

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