Hi!

For factorial routine today I've written a fast solution that is
faster for large n than gmp/mpir's currently code, if n is about 1
million or larger.

For n=10^6: my code takes 1.7 sec., gmp's code: 2.3 sec.
For n=10^7: my code takes 27 sec., gmp's code 45 sec.

For my code see the google group.
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