20100510, 12:53  #188  
"Mark"
Apr 2003
Between here and the
11×571 Posts 
Quote:
I would state that it is premature to blame gwnum for the problems you are seeing. Please PM (or email) me the relevant information regarding the problem. I need to know which version of PFGW you are using and the test cases that can reproduce the problem. 

20100510, 20:45  #189  
May 2007
Kansas; USA
2^{2}×5×11×47 Posts 
Quote:
I know I've been publicly critical before but in no way intended that this be a criticism of GWNUM. I was merely stating the symptoms of what I thought was a known problem. I'm sorry if the tone sounded otherwise. Would you like a list of the PRPs where a proof showed "actual primes" to be composite on bases 3 and 63? It seems to only happen on fairly specific sizes of PRPs. That is around n=5075 or n=100120 on base 3 and I've only seen it for n=100120 on base 63. I am running PFGW 3.3.2. The above is definitely not a bug introduced in any subsequent releases of PFGW since the new speedy GWNUM libraries were introduced that sped it up nearly 5 times. I'm getting the same problem in older releases of PFGW back to 3.2.3. It will take me a little while to put the list together but can do it if you think it will help. You can also generate a few yourself by running a k=1M range of Sierp base 63 using the starting bases script with trial factoring set to 10% (f10). [I haven't checked to see if the trial factoring % would make any difference.] Any CompPRP with an exponent of n>100 is actually prime. I've verified this for all k<=20M now. I estimate that there are about 100 of them. As you know, I'm continuing that doublecheck up to the conjectore of k=~37M. Interestingly, there are a gob of compPRPs on both bases 3 and 63 with an exponent of n<20. All of those are actually composite. So...it's a very specific size of PRP that causes the problem. If you think a list of the "truly composite" CompPRPs would help, I can also forward those. Gary Last fiddled with by gd_barnes on 20100510 at 20:54 

20100510, 22:24  #190 
"Mark"
Apr 2003
Between here and the
11·571 Posts 
Since PFGW 3.3.3 is using a newer version of gwnum, I think it is important to see if that version is exhibiting the same problems that you see in PFGW 3.3.2. If it does, then please post any numbers causing problems.

20100511, 04:20  #191  
May 2007
Kansas; USA
2^{2}×5×11×47 Posts 
Quote:
Thanks. 

20100511, 05:45  #192  
"Lennart"
Jun 2007
10001100000_{2} Posts 
Quote:
http://sourceforge.net/projects/openpfgw/files/ Try this It use to be here. Lennart 

20100511, 06:09  #193  
May 2007
Kansas; USA
2^{2}·5·11·47 Posts 
Quote:
BTW, I have a question for you since you have a lot of cores. How do you easily keep the latest versions of everything on all of them? I find it very timeconsuming to update to new versions of things fairly often. I suppose if you only use a PRPnet server on most of them, that helps, although it still needs to have the latest PFGW, LLR, etc. in it. I've been using PFGW 3.3.2 on my 2 Windows machines, which is what I used to test the above bases but PFGW 3.3.0 on the rest of my machines that are Linux. I'll finally take the time to update everything to 3.3.4 later today but it just takes a while. I have ~50 cores. Last fiddled with by gd_barnes on 20100511 at 06:13 

20100511, 07:00  #194  
"Lennart"
Jun 2007
2^{5}·5·7 Posts 
Quote:
I copy the update file to "program" run install. and all core folders are updated. Then I start again If there is more changes I do a main package and download them to each computer Edit computer ID run install & update, ready to run. Lennart Last fiddled with by Lennart on 20100511 at 07:02 

20100511, 09:57  #195  
May 2007
Kansas; USA
2^{2}×5×11×47 Posts 
Quote:
333388184*3^67+1 335550520*3^55+1 336267398*3^79+1 338985326*3^71+1 I doublechecked all of the compPRPs using Alpertron's applet at http://www.alpertron.com.ar/ECM.HTM. All of the above are actually prime and the rest of them are actually composite. At least I was right on one thing. All n>=50 were prime and all n<50 were composite. Ian, I think 3.3.4 is a keeper. I'd definitely suggest using it for base 3 in the future due to the huge quantity of small primes and composite PRPs that we run into. Lennart's posted link was easy to download both the Windows and Linux versions of it. I will start running my compPRP files from S63 thru 3.3.4 on Tuesday. Since my issues were consistent with the above, I anticipate no problems now. Nice work by the GWNUM guys! Gary Last fiddled with by gd_barnes on 20100511 at 09:58 

20100511, 12:28  #196  
"Mark"
Apr 2003
Between here and the
11·571 Posts 
Quote:
Thanks to you and everyone else for being patient as we addressed these problems. Mark 

20100513, 22:21  #197  
May 2007
Kansas; USA
2^{2}×5×11×47 Posts 
Quote:
I just ran PFGW 3.3.4 against 195 composite PRPs that I had previously found for k<22M for Sierp base 63 using PFGW 3.3.2. As verified by other software, it correctly reported back 132 primes and 63 composites. All composites were n<5. All primes were n>=14; some as high as n=~190. New testing in the k=22M30M range is coming back with only composite PRPs for n<5. Testing with other software confirmed that they are all composite; consistent with all composites for n<5 for k<22M. I'm now confident in not having to check compPRP's anymore, although I still do because their factorization is kind of interesting. It looks like we're nearing a much more stable phase on both PFGW and PRPnet. Nice work by both you and George to nail down what must have been an extremely complex issue in the GWNUM libraries. I assume that a new version of LLR will also come out, if it hasn't already, that uses use the new GWNUM libraries. Gary 

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