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Old 2007-07-10, 15:04   #1
Cruelty
 
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The real question as I would imagine is: can someone post primes that do not fit into one of the three subprojects defined on RPS project page?
Another, similar question: can we extend the list of subprojects?
Some candidates that come to my mind include:
- Gaussian Mersenne Norms and co-norms (PRPs)
- high-weight "k" proth primes (as suggested by Roger)
- some other ideas developed by participating individuals (e.g. I am working right now on primes of the form "4*3^n-1")
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Old 2007-07-21, 13:34   #2
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I think we can indeed extend the list of sub-projects to include Gaussian Mersenne Norms and co-norms and Sophie-Germain primes when p=k*2^n-1 (but excluding p=k*2^n+1) where p is the smaller prime of the Sophie Germain pair.

I'd like to suggest that we resist the temptation of adding high weight Proth primes, k*2^n+1, because one has to stop somewhere Of course everybody is free to pursue other side-projects unrelated to RPS. Specifically, for high weight Proth primes there is a project started by Robert and Phil Carmody where I took part for a while but currently it has no primes in the Top-5000

As for 4*3^n-1 note that prof. Iskra (whom I think you already "met") developed his own method but I think it works only for 4*3^n+1 and he already reported tens of primes of that form.
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Old 2007-07-22, 10:03   #3
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I just created a new thread to discuss new subprojects.

If you agree I'd like to suggest that you lead the GM/GQ efforts.

Can you tell us for the beginning the status of the search, and what software is required to search for such primes/PRPs. I beleive LLR alone is enough but it has to be one of the latest versions. Is that right?

Info on some illustrative exe times will be appreciated as well.
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Old 2012-08-30, 21:58   #4
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k=2 and k=4 @ base=3 tested till n=1.13M
112*113^n-1 tested till n=240k (looking for the first Williams prime for this base)
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Old 2012-09-30, 12:40   #5
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k=2 and k=4 @ base=3 tested till n=1.14M
112*113^n-1 tested till n=280k
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Old 2012-10-02, 21:14   #6
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I release 112*113n-1 @ n=290k.
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Old 2012-11-01, 00:09   #7
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k=2 and k=4 @ base=3 tested till n=1.15M
127*128^n-1 tested till n=4M
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Old 2012-12-01, 17:57   #8
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k=2 and k=4 @ base=3 tested till n=1.15M
127*128^n-1 tested till n=4.05M
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Old 2012-12-03, 13:55   #9
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Quote:
Originally Posted by Cruelty View Post
k=2 and k=4 @ base=3 tested till n=1.15M
127*128^n-1 tested till n=4.05M
My mistake: should be 127*128^n-1 tested till n=580k
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Old 2013-01-31, 10:46   #10
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k=2 and k=4 @ base=3 tested till n=1.17M
127*128^n-1 tested till n=620k
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Old 2013-03-02, 01:26   #11
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k=2 and k=4 @ base=3 tested till n=1.17M
127*128^n-1 tested till n=640k
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