Hello fellow group members, After a long time I rear my head by posting a proof for a Wagstaff number primality test. This test is similar to the well known...
1894
Phil Carmody
thefatphil
Oct 5, 2008 9:25 am
... This would be better on the primenumbers list. ... "Consider an element w ... that has no solution w^k == 1" is meaningless. Skipping everything before it,...
1895
David Broadhurst
djbroadhurst
Oct 5, 2008 5:07 pm
... 1) As Phil noted, there is horrific garbling of the meaning of "order". 2) The use of "i" for sqrt(-1) is meaningless, since W_p = 3 mod 4. 3) Anton has...
1896
David Broadhurst
djbroadhurst
Oct 5, 2008 6:28 pm
... I meant that there is no such "i" in Z_{W_p}. In Z_{W_p}[sqrt(2)], we make take i = 2^((p-1)/2)*sqrt(2), so that i^2+1 = 3*W_p = 0 mod W_p. David...
1897
Mark Rodenkirch
mgrogue
Oct 7, 2008 2:38 am
I have had no contact from anyone with access to the source built on the v24 gwnum library. Jim Fougeron has not answered any e-mails so I don't know if he is...
1898
Anton Vrba
antonvrba
Oct 7, 2008 7:54 pm
Thank you Phil and thank you David for pointing out my mistakes I cannot transfer to the other forum as my privallages are not enough to upload files. Instead...
1899
Anton Vrba
antonvrba
Oct 8, 2008 12:39 pm
the correct file version is 2.0 ... enough ... of ... equality ... the ... a ... and ... by...
1900
David Broadhurst
djbroadhurst
Oct 9, 2008 6:13 pm
... I append the message that I sent to Anton, showing why Bruce's argument works for Mersenne primes, but not for Wagstaff primes. It seems from ...
1901
Anton Vrba
antonvrba
Oct 10, 2008 7:49 am
... Seems is the incorrect word - Has withdrawn is correct I did type an apology to be posted on this forum - It seems I did not hit the send button! best...
1902
Anton Vrba
antonvrba
Oct 10, 2008 7:57 am
My oversight, is that my claim to the order of $\alpha$ is wrong. The proof of Bruce works because when he states $\omega^{2^p}=1$ and $\omega^{2^{p-1}}=-1$...
1903
ruediger_eckhard
ruediger_eck...
Oct 14, 2008 8:04 am
Maybe just a side remark: Please check the sources, if you happen to get the newest ones. I have been checking the prime 847*2^519964 + 1, which I found by...
1904
Ken Davis
kradenken
Jan 10, 2009 5:47 am
Hi Rüdiger, Your statement that ... shows ... is disturbing. However as can be seen below it is fine on my machine ( are you overclocking?) ...
1905
j_chrtn
Jan 29, 2009 9:29 pm
Hi group, Can anyone tell me (or even better send me) where I can find the latest (statically compiled if possible) version of openpfgw for Linux or at least...
1906
woltman9999
May 6, 2009 10:44 pm
Two questions: Is the source code for 20050213_win32_development_alpha_ibdwt_pfgw_winpfgw.zip or later available? Is this the version of openpfgw that people...
1907
openpfgw@yahoogroups....
May 13, 2009 3:23 pm
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the openpfgw group. File :...
1908
harvey563
May 13, 2009 4:32 pm
On my pentiumD running winxp pro, I get an immediate failure on WinPFGW (GUI) with the message, " This application has failed to start because the application...
1909
George Woltman
woltman9999
May 13, 2009 6:32 pm
... Thanks. The -m and -a switches are known to be broken. I'm not sure what is going on with WinPFGW, I'll try it on one of my XP boxes....
1910
gchil0
May 14, 2009 12:00 am
Here's a known test case that fails on my Athlon64. pfgw -tp -q"(2^95369+1)/3" PFGW Version 3.0.0 for Windows [FFT v25.10] Primality testing (2^95369+1)/3...
1911
Jens Kruse Andersen
jkand71
May 14, 2009 12:53 am
... I am not a pfgw developer and only know what I have seen in the openpfgw and primeform groups. As far as I know, Jim Fougeron has not published the source...
1912
Mark Rodenkirch
mgrogue
May 14, 2009 12:56 am
Out of curiosity, what were you testing?...
1913
Mark Rodenkirch
mgrogue
May 14, 2009 1:14 am
It does pass as 3-PRP, but the -tp test returns composite. The -tm test also returns as 3-PRP. Which version of PFGW returns this as prime with the -tp test?...
1914
gchil0
May 14, 2009 5:42 am
pfgw -tp -q"(2^95369+1)/3" PFGW Version 20050213.Win_Dev (Alpha/IBDWT 'caveat utilitor') Using v24fft.DLL, version FFTVer=24.9, DllVer=1.1.5 Primality testing...
1915
Ken Davis
kradenken
May 14, 2009 12:17 pm
Hi George, I tend to use 20041023.Win_Dev (Beta) as 20050213 doe not work with large factorials/multifactorials cheers Ken...
1916
Mark Rodenkirch
mgrogue
May 18, 2009 12:21 am
I have been able to build PFGW on MacIntel, thanks mainly to George for upgrading PFGW to use v25 of his FFT library. If any MacIntel users are interested in...
1917
George Woltman
woltman9999
May 20, 2009 6:03 pm
Please download them and (try to) find test cases that fail. What's new since last pre-alpha 3.0 release. 1) Statically linked with C runtime library so that...
1918
sp65536
May 21, 2009 8:54 am
When can you release the source of this version of pfgw?...
1919
Mark Rodenkirch
mgrogue
May 21, 2009 11:24 am
I'll let George decide if he wants to release the source right now, but I was hoping to get it all into sourceforge in the next few days, then I could have an...
1920
David Broadhurst
djbroadhurst
May 31, 2009 3:12 am
... I downloaded the latest WinDoze files and tried the CLI pfgw.exe on a borrowed machine, giving it numbers of the form (2^(2*n+1)-5)/3 for which the havoc...
1921
harvey563
Jun 16, 2009 3:49 pm
WinPFGW Version 3.0.0 fails to find 63*2^1070449+1 a factor of any xGF, whether using the -a1 switch or not. [i.e. "-gxo" and "-gxo -a1"] 63*2^1070449+1 is...
1922
harvey563
Jun 16, 2009 6:54 pm
The console version also fails to find any XGFs. Steven Harvey...
