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-=head1 NAME
-
- isprime - probabilistic primality testing
-
-=head1 SYNOPSIS
-
- isprime <a>
-
-=head1 DESCRIPTION
-
-The B<isprime> program attempts to determine whether the arbitrary
-precision integer I<a> is prime.  It first tests I<a> for divisibility
-by the first 170 or so small primes, and assuming I<a> is not
-divisible by any of these, applies 15 iterations of the Rabin-Miller
-probabilistic primality test.
-
-If the program discovers that the number is composite, it will print:
-
- Not prime (reason)
-
-Where I<reason> is either:
-
-	divisible by small prime x
-
-Or:
-
-	failed nth pseudoprime test
-
-In the first case, I<x> indicates the first small prime factor that
-was found.  In the second case, I<n> indicates which of the
-pseudoprime tests failed (numbered from 1)
-
-If this happens, the number is definitely not prime.  However, if the
-number succeeds, this message results:
-
- Probably prime, 1 in 4^15 chance of false positive
-
-If this happens, the number is prime with very high probability, but
-its primality has not been absolutely proven, only demonstrated to a
-very convincing degree.
-
-The value I<a> can be input in standard decimal notation, or, if it is
-prefixed with I<Ox>, it will be read as hexadecimal.
-
-=head1 ENVIRONMENT
-
-You can control how many iterations of Rabin-Miller are performed on
-the candidate number by setting the I<RM_TESTS> environment variable
-to an integer value before starting up B<isprime>.  This will change
-the output slightly if the number passes all the tests.
-
-=head1 SEE ALSO
-
-gcd(1), invmod(1), lap(1)
-
-=head1 AUTHOR
-
- Michael J. Fromberger <sting@linguist.dartmouth.edu>
- Thayer School of Engineering, Hanover, New Hampshire, USA
- 
- $Date$
-