factor.txi


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@defvar prime:prngs

 @var{prime:prngs} is the random-state (@pxref{Random Numbers}) used by these
 procedures.  If you call these procedures from more than one thread
 (or from interrupt), @code{random} may complain about reentrant
 calls.
@end defvar


@defun jacobi-symbol p q

 Returns the value (+1, @minus{}1, or 0) of the Jacobi-Symbol of
 exact non-negative integer @var{p} and exact positive odd integer @var{q}.
@end defun


@defvar prime:trials

 @var{prime:trials} the maxinum number of iterations of Solovay-Strassen that will
 be done to test a number for primality.
@end defvar


@defun prime? n

 Returns @code{#f} if @var{n} is composite; @code{#t} if @var{n} is prime.
 There is a slight chance @code{(expt 2 (- prime:trials))} that a
 composite will return @code{#t}.
@end defun


@defun primes< start count

 Returns a list of the first @var{count} prime numbers less than
 @var{start}.  If there are fewer than @var{count} prime numbers
 less than @var{start}, then the returned list will have fewer than
 @var{start} elements.
@end defun


@defun primes> start count

 Returns a list of the first @var{count} prime numbers greater than @var{start}.
@end defun


@defun factor k

 Returns a list of the prime factors of @var{k}.  The order of the
 factors is unspecified.  In order to obtain a sorted list do
 @code{(sort! (factor @var{k}) <)}.
@end defun