eb5ea45ba8
'limited range of type' warnings about comparisons on 32-bit systems, and allows 32-bit systems to compute the full range of primes.
128 lines
3.9 KiB
Groff
128 lines
3.9 KiB
Groff
.\" 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.
|