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20200820, 14:05  #23  
"Composite as Heck"
Oct 2017
2×349 Posts 
Quote:
Not that this is a vote but I think the whole system can shove it, moderately speaking. Codify the findings into the normal publishing format, self peer review and self publish. 

20200820, 19:22  #24 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
3·43·71 Posts 

20200820, 23:54  #25 
Bemusing Prompter
"Danny"
Dec 2002
California
2·19·61 Posts 

20200821, 01:02  #26 
P90 years forever!
Aug 2002
Yeehaw, FL
2×3×1,193 Posts 
One aside. The EFF requirement for claiming the 100Mdigit prime award is publication in a peer reviewed journal and I do not enjoy writing.
The 1M award was fairly easy  a review of how GIMPS runs an efficient search using Internet volunteers for the horsepower. When I had to do another article a half dozen years later, I had to fill several pages based solely on the premise of "GIMPS found another one". Without a connection to a Journal editor we would have had difficulty getting that published. That argues for waiting, so that there is some "meat" to put into a 100Mdigit journal article. On the other hand, the 100M discovery is not likely to happen anytime soon. 
20200821, 06:04  #27 
"Mihai Preda"
Apr 2015
2^{4}·83 Posts 
Other candidates for inclusion:
1. Robert presents a great simple trick that has the potential to reduce the cost of P1 firststage by a factor of around 10x when ran in conjunction with PRP (improving from my trivial idea offering a 2x gain): https://mersenneforum.org/showpost.p...6&postcount=14 (I'm currently working on implementing this) 2. PRP1, an original idea that came to a deadend. Deadend or not, in time I did gain an improved understanding of its behavior and the tradeoffs involved, which may be interesting to share. Last fiddled with by preda on 20200821 at 06:19 
20200821, 06:10  #28  
"Mihai Preda"
Apr 2015
530_{16} Posts 
Quote:
But the very next Mp, that's within reach. Not as glamourous as the EFF prize, but feasible. Anyway, publishing may help with awareness of the project. 

20200821, 13:38  #29  
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
2·2,357 Posts 
Quote:
I would be happy to contribute in any way that forwards the action, subject to time constraints and other priorities, and being wary of reliance on me for the deeper math areas. (I've done spell and grammar check etc. for others on occasion. Fft multiplication gives me a headache, and doing it in IBDWT seems like magic. The PRP proof related material is like chinese food; understanding is gone in an hour. The new P1 thread is after a single skimming, like a jet plane or perhaps hypersonic missile flying over my head. I suspect I have some company in those.) My experience with peer reviewed papers is as a contributor in the work, not lead author or primary contributor. In those, author listing order was by largest contribution first and in descending order following. That order is generally settled by discussion among the coauthors. These papers were in engineering, not mathematics. (So my Erdos # is probably infinity.) Depending on the timing of Mlucas implementation of the VDF etc., Ernst might be in the mix too. His writeup of the fft method of multiplication seemed to me a fine piece of writing. Let's not forget forum username error (don't know real name) identification of the Jacobi symbol check for LL sequences Pavel Atnashev (VDF/ PRP proof) This whole discussion has set me thinking of writing a longish blog post about the history/evolution of GIMPS software. If any part of it was useful in preparing an article or two for publication, so much the better. I've been wondering if bundling the recent progress into one paper is the right way to go. Perhaps the math basis in one, and the software engineering in another, referencing the math paper. Plus releasing one considerably after the other and in a different journal/field increases GIMPS exposure. As to waiting for a 100Mdigit prime's discovery, if the crude projection of https://www.mersenneforum.org/showpo...5&postcount=11 is anywhere close, some of us will be unavailable then. We should write our history up as it happens while people are still available and clear headed to ensure accuracy. A hypothetical great outcome of a publication would be reaching some mathematician who sees the project's approach summarized, and identifies, say, some new method of factoring that reduces the number of needed primality tests. Last fiddled with by kriesel on 20200821 at 14:21 

20200821, 14:00  #30 
"Mihai Preda"
Apr 2015
2460_{8} Posts 
And George's design of superprecision fast sin/cos primitives in the FFT context may be of interest, with help from Ernst who contributed the initial optimizer based on Chebyshev polinomials IIRC. IMO such work is worthy to be integrated in math libraries (such as the ones offered by AMD and I imagine by Nvidia for GPUs), and proposes a new API for trigonometrics that allows to extract the increased precision.

20200821, 14:17  #31 
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
2×2,357 Posts 

20200821, 14:21  #32  
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
2×4,441 Posts 
Quote:
Last fiddled with by Uncwilly on 20200821 at 14:21 

20200821, 15:25  #33  
If I May
"Chris Halsall"
Sep 2002
Barbados
5^{2}×373 Posts 
Quote:
It would be a peerreviewed (and, technically, published (although not "Published")) collection of all the very interesting things various people do here. And, importantly, when each step happened. I often point to this Forum as a great example of what online collaboration can do. 

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