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.

By: Landon Curt Noll chongo@toad.com, ...!{sun,tolsoft}!hoptoad!chongo

chongo <for a good prime call: 391581 * 2^216193 - 1> /\oo/\

.Dd January 12, 2020 .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.

p When .Nm is invoked with one or more arguments, each argument will be factored.

p When .Nm is invoked with no arguments, .Nm reads numbers, one per line, from standard input until end of file or 0 is entered or an error occurs. Leading white-space and empty lines are ignored.

p Numbers may be preceded by a single .Ql + . Numbers can be either decimal or hexadecimal strings where the longest leading substring is used. Numbers are terminated by a non-digit character (such as a newline). If the string contains only decimal digits, it is treated as a decimal representation for a number. A hexadecimal string can contain an optional .Em 0x or .Em 0X prefix. After a number is read, it is factored.

p 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 18446744073709551615.

p 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 l -diag t "negative numbers aren't permitted" t "illegal numeric format" t "start value must be less than stop value" t "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.