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-.\" Copyright (c) 1989, 1993
-.\"	The Regents of the University of California.  All rights reserved.
-.\"
-.\" This code is derived from software contributed to Berkeley by
-.\" Landon Curt Noll.
-.\"
-.\" Redistribution and use in source and binary forms, with or without
-.\" modification, are permitted provided that the following conditions
-.\" are met:
-.\" 1. Redistributions of source code must retain the above copyright
-.\"    notice, this list of conditions and the following disclaimer.
-.\" 2. Redistributions in binary form must reproduce the above copyright
-.\"    notice, this list of conditions and the following disclaimer in the
-.\"    documentation and/or other materials provided with the distribution.
-.\" 3. Neither the name of the University nor the names of its contributors
-.\"    may be used to endorse or promote products derived from this software
-.\"    without specific prior written permission.
-.\"
-.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
-.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
-.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
-.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
-.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
-.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
-.\" SUCH DAMAGE.
-.\"
-.\"	@(#)factor.6	8.1 (Berkeley) 5/31/93
-.\"
-.\" $FreeBSD$
-.\"
-.\" By: Landon Curt Noll   chongo@toad.com,   ...!{sun,tolsoft}!hoptoad!chongo
-.\"
-.\"   chongo <for a good prime call: 391581 * 2^216193 - 1> /\oo/\
-.\"
-.Dd October 10, 2002
-.Dt FACTOR 6
-.Os
-.Sh NAME
-.Nm factor , primes
-.Nd factor a number, generate primes
-.Sh SYNOPSIS
-.Nm
-.Op Fl h
-.Op Ar number ...
-.Nm primes
-.Op Fl h
-.Op Ar start Op Ar stop
-.Sh DESCRIPTION
-The
-.Nm
-utility will factor positive integers.
-When a number is factored, it is printed, followed by a
-.Ql \&: ,
-and the list of factors on a single line.
-Factors are listed in ascending order, and are preceded by a space.
-If a factor divides a value more than once, it will be printed more than once.
-.Pp
-When
-.Nm
-is invoked with one or more arguments, each argument will be factored.
-.Pp
-When
-.Nm
-is invoked with no arguments,
-.Nm
-reads numbers, one per line, from standard input, until end of file or error.
-Leading white-space and empty lines are ignored.
-Numbers may be preceded by a single
-.Ql + .
-Numbers are terminated by a non-digit character (such as a newline).
-After a number is read, it is factored.
-.Pp
-The
-.Nm primes
-utility prints primes in ascending order, one per line, starting at or above
-.Ar start
-and continuing until, but not including
-.Ar stop .
-The
-.Ar start
-value must be at least 0 and not greater than
-.Ar stop .
-The
-.Ar stop
-value must not be greater than the maximum.
-The default and maximum value of
-.Ar stop
-is 3825123056546413050.
-.Pp
-When the
-.Nm primes
-utility is invoked with no arguments,
-.Ar start
-is read from standard input and
-.Ar stop
-is taken to be the maximum.
-The
-.Ar start
-value may be preceded by a single
-.Ql + .
-The
-.Ar start
-value is terminated by a non-digit character (such as a newline).
-.Sh DIAGNOSTICS
-.Bl -diag
-.It "negative numbers aren't permitted"
-.It "illegal numeric format"
-.It "start value must be less than stop value"
-.It "Result too large"
-.El
-.Sh BUGS
-.Nm
-cannot handle the
-.Dq "10 most wanted"
-factor list,
-.Nm primes
-will not get you a world record.
-.Pp
-.Nm primes
-is unable to list primes between 3825123056546413050 and 18446744073709551615
-since it relies on strong pseudoprime tests after sieving, and nobody has
-proven how many strong pseudoprime tests are required to prove primality for
-integers larger than 3825123056546413050.