535ab8fde8
Prior to this commit, primes(6) relied solely on sieving with primes up to 65537, with the effect that composite numbers which are the product of two non-16-bit primes would be incorrectly identified as prime. For example, # primes 1099511627800 1099511627820 would output 1099511627803 1099511627807 1099511627813 when in fact only the first of those values is prime. This commit adds strong pseudoprime tests to validate the candidates which pass the initial sieving stage, using bases of 2, 3, 5, 7, 11, 13, 17, 19, and 23. Thanks to papers from C. Pomerance, J.L. Selfridge, and S.S. Wagstaff, Jr.; G. Jaeschke; and Y. Jiang and Y. Deng, we know that the smallest value which passes these tests is 3825123056546413051. At present we do not know how many strong pseudoprime tests are required to prove primality for values larger than 3825123056546413050, so we force primes(6) to stop at that point. Reviewed by: jmg Relnotes: primes(6) now correctly enumerates primes up to 3825123056546413050 MFC after: 7 days Sponsored by: EuroBSDCon devsummit
11 lines
160 B
Makefile
11 lines
160 B
Makefile
# @(#)Makefile 8.1 (Berkeley) 5/31/93
|
|
# $FreeBSD$
|
|
|
|
PROG= primes
|
|
SRCS= pattern.c pr_tbl.c primes.c spsp.c
|
|
MAN=
|
|
DPADD= ${LIBM}
|
|
LDADD= -lm
|
|
|
|
.include <bsd.prog.mk>
|