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Forum: Proth Prime Search

2020-07-31, 22:13

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

the new largest known G-M norm

After a rather depressing gap a curiously strong mint was found:

215317227 + 27658614 + 1 is the new largest known prime Gaussian-Mersenne norm (https://primes.utm.edu/primes/page.php?id=131043) ...

Forum: Proth Prime Search

2020-06-19, 20:14

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

Nearly done and continuing with 10-12M. ... and...

Nearly done and continuing with 10-12M. ... and to 15M ... and on to 21M...

Forum: Proth Prime Search

2020-05-29, 23:01

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

Dusted off the GMQfact code; recompiled for...

Dusted off the GMQfact code; recompiled for 1060/2060 cards (sm_61, sm_75) and sieved to 61+ bits the next range 5.1-10M -- which is now reserved for Batalov+Propper

Forum: Proth Prime Search

2015-01-02, 16:17

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

Well, I have modified mfaktc, but I have never...

Well, I have modified mfaktc, but I have never looked at mfakto.
I don't know how different they are.

Forum: Proth Prime Search

2015-01-01, 00:29

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

I'll have a look at adapting the Cyclo program...

I'll have a look at adapting the Cyclo program for Gaussian- (and Eisenstein-)Mersennes.
Then we may have a great boost to find the next sequence members on GPUs.
And we already have a GPU sieve.

Forum: Proth Prime Search

2014-09-08, 01:16

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

3.5-3.85M range is complete

The 3.5-3.85M range is complete. The report is attached. 1 GM was found.

The J.Penne file <<gmfcandidates.txt>> had 1537 candidates removed out of 23172 prime numbers in this interval. For QC,...

Forum: Proth Prime Search

2014-09-06, 22:38

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

Thanks! ;-) Granted, the expected number of...

Thanks! ;-)

Granted, the expected number of GM+GQs was << 1 in this interval.

You mentioned that you had ~8 cores? With them, you could have reached this number, from end of Feb to mid- or end...

Forum: Proth Prime Search

2014-09-06, 16:34

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

23704053 + 21852027 + 1 is prime...

23704053 + 21852027 + 1 is prime (http://primes.utm.edu/primes/page.php?id=118452)

There is ~5 AVX CPU-years of work in this interval (or ~8 non-AVX years), and this was waiting in the middle of...

Forum: Proth Prime Search

2014-09-05, 01:00

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

Ok. I will start by GPU sieving de novo (I want...

Ok. I will start by GPU sieving de novo (I want to give gmqfaktc a good test).
We can compare the survivor candidates, later. We can compare some residues later, too. I will run the AVX binary on...

Forum: Proth Prime Search

2014-09-04, 21:54

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

I am not trying to dissuade you to run this range...

I am not trying to dissuade you to run this range (nor my initial message about missed factors was aimed at that).

I see a common thread here with something that I hear sometimes at the PrimeGrid...

Forum: Proth Prime Search

2014-09-03, 17:45

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

I'd like to verify that GM(4792057) is the...

I'd like to verify that GM(4792057) is the Gaussian Mersenne norm #39.
I can double-check everything up to 3.5M+delta, and check up to 3.85M, if this range is now abandoned. If it is not abandoned,...

Forum: Proth Prime Search

2014-05-16, 03:08

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

I am at 5.0M for GMs and at 4.7M for...

I am at 5.0M for GMs and at 4.7M for "GQ-only"s.

Forum: Proth Prime Search

2014-04-09, 07:16

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

Not at this time. You simply get all factors in...

Not at this time. You simply get all factors in the requested bitrange. It is running the program that is computationally expensive (and the runtime is the same* regardless if you are searching for...

Forum: Proth Prime Search

2014-04-09, 00:41

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

They might be good for the people who would...

They might be good for the people who would rather run it as they would mfaktc (with just libcudart64_55_....dll in the same directory; I don't know how volatile the libcudart64_60 will be). I...

Forum: Proth Prime Search

2014-04-08, 06:18

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

Your binaries work fine, Jerry. Thanks from all...

Your binaries work fine, Jerry. Thanks from all of us!

In the meantime, I've got a full Studio 2012, uninstalled all 2013 mscrap, installed 2012, uninstalled CUDA5.5 (it was configured on the fly...

Forum: Proth Prime Search

2014-04-08, 05:45

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

CUDA 6.0...

CUDA 6.0 (http://blogs.nvidia.com/blog/2014/03/05/cuda-6-available/)-pre. Uh-oh. Well, let's dive in, then.

EDIT: replace with strtoll() or whatever...
... or I can write in 10 seconds a short...

Forum: Proth Prime Search

2014-04-07, 15:55

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

Update: for GMs, I have passed 5M. I have...

Update: for GMs, I have passed 5M.

I have left some GQ-only candidates behind (but they are done to 4.7M and there was a GQ at 4.5M); I will pull up that slack a bit later.

P.S. Jerry wrote...

Forum: Proth Prime Search

2014-04-07, 03:29

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

gmqfaktc-0.20.zip

Ugh*. The attached source should build and hopefully will work.

I've tested it inasmuch that the ouput.c compiles on Windows (it has assembly-less mulmod replacement code, courtesy on JasonP,...

Forum: Proth Prime Search

2014-04-06, 17:17

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

Updating status once a month, I think, was what...

Updating status once a month, I think, was what Borys said. Everyone has their own pace and that's fine.

You should go on with tests as planned, - no need to stop N-1/PRP tests. If you don't have...

Forum: Proth Prime Search

2014-04-06, 05:57

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

I have another negative (not surprising) result...

I have another negative (not surprising) result pertaining to G/E-M/Fs.

Recall that Mike Oakes cataloged the interesting cases back in 2001...

Forum: Proth Prime Search

2014-04-06, 05:39

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

here's something funny...

Hmm... found what was wrong with some of the factors that gmqfaktc was finding. (And why it was not a problem for mfaktc.)
I thought that it was a bug, but it is a feature.

mfaktc first sieves...

Forum: Proth Prime Search

2014-04-06, 01:39

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

It is like mfaktc, e.g. ===worktodo.txt=== ...

It is like mfaktc, e.g.
===worktodo.txt===
Factor=gm,4748941,1,60
================
On a GTX780, this test takes a minute, while on an i7 an equivalent test takes half an hour (with 62-bit limit,...

Forum: Proth Prime Search

2014-04-05, 20:21

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

I have seen this bug since the beginning - it is...

I have seen this bug since the beginning - it is everywhere (not just for p>4.7M; this was just my recent range), but it is understandably patchy (see below). I think there is an overflow and it...

Forum: Proth Prime Search

2014-04-05, 18:50

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

The debug cases

Here is the short test.
Prerequisites:
1. A 32-bit LLR binary (you can try various versions)
2. Use this llr.ini
FacTo=48
TestGM=1
TestGQ=0
PgenInputFile=test1.txt
PgenOutputFile=out1.txt3....

Forum: Proth Prime Search

2014-04-05, 18:24

Replies: 158

Sticky: Search for prime Gaussian-Mersenne norms (and G-M-cofactors)

Views: 61,698

Posted By Batalov

The missed factors (1st kind) are not dangerous...

The missed factors (1st kind) are not dangerous per se, because they produce false negatives only (a factor is missed), so the candidate lives on, goes through a more computationally expensive N-1...

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