2429b427fa
Using results from
J. Sorenson and J. Webster, Strong pseudoprimes to twelve prime
bases, Math. Comp. 86(304):985-1003, 2017.
teach primes(6) to enumerate primes up to 2^64 - 1. Until Sorenson
and Webster's paper, we did not know how many strong speudoprime tests
were required when testing alleged primes between 3825123056546413051
and 2^64 - 1.
Adapted from: FreeBSD
107 lines
3.1 KiB
Groff
107 lines
3.1 KiB
Groff
.\" $NetBSD: primes.6,v 1.6 2018/02/03 15:40:29 christos Exp $
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.\"
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.\" Copyright (c) 1989, 1993
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.\" The Regents of the University of California. All rights reserved.
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.\"
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.\" This code is derived from software contributed to Berkeley by
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.\" Landon Curt Noll.
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.\"
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.\" Redistribution and use in source and binary forms, with or without
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.\" modification, are permitted provided that the following conditions
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.\" are met:
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.\" 1. Redistributions of source code must retain the above copyright
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.\" notice, this list of conditions and the following disclaimer.
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.\" 2. Redistributions in binary form must reproduce the above copyright
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.\" notice, this list of conditions and the following disclaimer in the
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.\" documentation and/or other materials provided with the distribution.
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.\" 3. Neither the name of the University nor the names of its contributors
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.\" may be used to endorse or promote products derived from this software
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.\" without specific prior written permission.
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.\"
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.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
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.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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.\" ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
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.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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.\" SUCH DAMAGE.
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.\"
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.\" @(#)factor.6 8.1 (Berkeley) 5/31/93
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.\"
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.\"
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.\" By Landon Curt Noll, http://www.isthe.com/chongo/index.html /\oo/\
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.\"
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.Dd February 2, 2018
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.Dt PRIMES 6
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.Os
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.Sh NAME
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.Nm primes
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.Nd generate primes
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.Sh SYNOPSIS
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.Nm primes
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.Op Fl dh
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.Op Ar start Op Ar stop
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.Sh DESCRIPTION
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The
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.Nm
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utility prints primes in ascending order, one per line, starting
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at or above
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.Ar start
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and continuing until, but not including
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.Ar stop .
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The
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.Ar start
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value must be at least 0 and not greater than
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.Ar stop .
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The
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.Ar stop
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value must not be greater than 3825123056546413050.
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The default value of
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.Ar stop
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is 3825123056546413050.
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.Pp
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When the
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.Nm
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utility is invoked with no arguments,
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.Ar start
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is read from standard input and
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.Ar stop
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is taken to be 3825123056546413050.
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The
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.Ar start
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value may be preceded by a single
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.Sq \&+ .
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The
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.Ar start
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value is terminated by a non-digit character (such as a newline).
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The input line must not be longer than 255 characters.
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.Pp
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When given the
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.Fl d
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argument,
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.Nm
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prints the difference between the current and the previous prime.
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.Pp
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When given the
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.Fl h
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argument,
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.Nm
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prints the prime numbers in hexadecimal.
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.Sh DIAGNOSTICS
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Out of range or invalid input results in
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an appropriate error message to standard error.
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.Sh AUTHORS
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.An -nosplit
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Originally by
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.An Landon Curt Noll ,
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extended to some 64-bit primes by
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.An Colin Percival .
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.Sh BUGS
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This
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.Nm
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program won't get you a world record.
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