From 2eb43769534644ef8af78e6a1fa70c755d41200b Mon Sep 17 00:00:00 2001 From: ast Date: Thu, 2 Oct 2014 21:36:37 +0000 Subject: Imported and adapted from FreeBSD svn r272166 and r272207; this fixes false positives for products of primes larger than 2^16. For example, before this commit: $ /usr/games/primes 4295360521 4295360522 4295360521 but $ /usr/games/factor 4295360521 4295360521: 65539 65539 or $ /usr/games/primes 3825123056546413049 3825123056546413050 3825123056546413049 yet $ /usr/games/factor 3825123056546413049 3825123056546413049: 165479 23115459100831 or $ /usr/games/primes 18446744073709551577 18446744073709551577 although $ /usr/games/factor 18446744073709551577 18446744073709551577: 139646831 132095686967 Incidentally, the above examples show the smallest and largest cases that were erroneously stated as prime in the range 2^32 .. 3825123056546413049 .. 2^64; the primes(6) program now stops at 3825123056546413050 as primality tests on larger integers would be by brute force factorization. In addition, special to the NetBSD version: . for -d option, skip first difference when start is >65537 as it is incorrect . corrected usage to mention both the existing -d as well as the new -h option For original FreeBSD commit message by Colin Percival, see: http://svnweb.freebsd.org/base?view=revision&revision=272166 --- primes/primes.6 | 42 ++++++++++++++++++++++++++++++------------ 1 file changed, 30 insertions(+), 12 deletions(-) (limited to 'primes/primes.6') diff --git a/primes/primes.6 b/primes/primes.6 index 9499398f..6928fe66 100644 --- a/primes/primes.6 +++ b/primes/primes.6 @@ -1,4 +1,4 @@ -.\" $NetBSD: primes.6,v 1.3 2008/02/03 03:29:17 wiz Exp $ +.\" $NetBSD: primes.6,v 1.4 2014/10/02 21:36:37 ast Exp $ .\" .\" Copyright (c) 1989, 1993 .\" The Regents of the University of California. All rights reserved. @@ -33,9 +33,7 @@ .\" @(#)factor.6 8.1 (Berkeley) 5/31/93 .\" .\" -.\" By: Landon Curt Noll chongo@toad.com, ...!{sun,tolsoft}!hoptoad!chongo -.\" -.\" chongo /\oo/\ +.\" By Landon Curt Noll, http://www.isthe.com/chongo/index.html /\oo/\ .\" .Dd February 3, 2008 .Dt PRIMES 6 @@ -46,6 +44,7 @@ .Sh SYNOPSIS .Nm primes .Op Fl d +.Op Fl h .Op Ar start Op Ar stop .Sh DESCRIPTION The @@ -61,18 +60,18 @@ value must be at least 0 and not greater than .Ar stop . The .Ar stop -value must not be greater than 4294967295. +value must not be greater than 3825123056546413050. The default value of .Ar stop -is 4294967295. +is 3825123056546413050. .Pp When the .Nm utility is invoked with no arguments, .Ar start -is read from standard input. +is read from standard input and .Ar stop -is taken to be 4294967295. +is taken to be 3825123056546413050. The .Ar start value may be preceded by a single @@ -81,15 +80,34 @@ The .Ar start value is terminated by a non-digit character (such as a newline). The input line must not be longer than 255 characters. +.Pp When given the .Fl d argument, .Nm prints the difference between the current and the previous prime. +.Pp +When given the +.Fl h +argument, +.Nm +prints the prime numbers in hexadecimal. .Sh DIAGNOSTICS Out of range or invalid input results in -an appropriate error message -being written to standard error. -.Sh BUGS +an appropriate error message to standard error. +.Sh AUTHORS +Originally by +.An Landon Curt Noll , +extended to some 64-bit primes by +.An Colin Percival . +.Sh CAVEATS +This .Nm -won't get you a world record. +program won't get you a world record. +.Pp +The program is not able to list primes between +3825123056546413050 and 18446744073709551615 (2^64 +- 1) as it relies on strong pseudoprime tests after +sieving, and it is yet unknown how many of those +tests are needed to prove primality for integers +larger than 3825123056546413050. -- cgit v1.2.3-56-ge451