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calc/help/lfactor
Landon Curt Noll a31078bbec Remove all RCS @(#) lines and RCS strings
Some folks might think: “you still use RCS”?!?  And we will say,
hey, at least we switched from SCCS to RCS back in … I think it was
around 1994 ... at least we are keeping up! :-) :-) :-)

Logs say that SCCS version 18 became RCS version 19 on 1994 March 18.

RCS served us well.  But now it is time to move on.   And so we are
switching to git.

Calc releases produce a lot of file changes.  In the 125 releases
of calc since 1996, when I started managing calc releases, there
have been 15473 file mods!
2017-05-23 01:33:23 -07:00

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NAME
lfactor - smallest prime factor in first specified number of primes
SYNOPSIS
lfactor(n, m)
TYPES
n integer
m nonnegative integer <= 203280221 (= number of primes < 2^32)
return positive integer
DESCRIPTION
This function ignores the signs of n and m, so here we shall
assume n and limit are both nonnegative.
If n is nonzero and abs(n) has a prime proper factor in the first
m primes (2, 3, 5, ...), then lfactor(n, m) returns the smallest
such factor. Otherwise 1 is returned.
If n is nonzero and m = pix(limit), then lfactor(n, m) returns the
same as factor(n, limit).
Both lfactor(n, 0) and lfactor(1, m) return 1 for all n and m.
Also lfactor(0, m) always returns 1, and factor(0, limit) always
returns 2 if limit >= 2.
EXAMPLE
; print lfactor(35,2), lfactor(35,3), lfactor(-35, 3)
1 5 5
; print lfactor(2^32+1,115), lfactor(2^32+1,116), lfactor(2^59-1,1e5)
1 641 179951
LIMITS
m <= 203280221 (= number of primes < 2^32)
LINK LIBRARY
NUMBER *qlowfactor(NUMBER *n, NUMBER *count)
FULL zlowfactor(ZVALUE z, long count)
SEE ALSO
factor, isprime, nextcand, nextprime, prevcand, prevprime,
pfact, pix, ptest
## Copyright (C) 1999-2006 Landon Curt Noll
##
## Calc is open software; you can redistribute it and/or modify it under
## the terms of the version 2.1 of the GNU Lesser General Public License
## as published by the Free Software Foundation.
##
## Calc is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
## Public License for more details.
##
## A copy of version 2.1 of the GNU Lesser General Public License is
## distributed with calc under the filename COPYING-LGPL. You should have
## received a copy with calc; if not, write to Free Software Foundation, Inc.
## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
##
## Under source code control: 1995/12/18 12:34:57
## File existed as early as: 1995
##
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/