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/*
* bigprime - a prime test, base a, on p*2^x+1 for even x>m
*
* Copyright (C) 1999 David I. Bell
*
* 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: 1991/05/22 21:56:32
* File existed as early as: 1991
*
* Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
*/
define bigprime(a, m, p)
{
local n1, n;
n1 = 2^m * p;
for (;;) {
m++;
n1 += n1;
n = n1 + 1;
if (isodd(m))
continue;
print m;
if (pmod(a, n1 / 2, n) != n1)
continue;
if (pmod(a, n1 / p, n) == 1)
continue;
print " " : n;
}
}