20180405, 14:58  #1 
"Yury Vorobyov"
Jul 2013
Chelyabinsk
10011_{2} Posts 
List of available exponents
Where can I get simplest (i.e. just one number per string) list of all available (not checked) exponents?
Exponents up to 300 mils would be ok. Last fiddled with by sanaris on 20180405 at 15:11 
20180405, 21:14  #2 
Einyen
Dec 2003
Denmark
3,037 Posts 
There is no such list, and why would you need it? It would be roughly 11.5 million exponents below 300M lacking first LL test plus a few million lacking double check. It would be a very long list, and you would not be able to make a dent in it without many thousands of computers or several of the top supercomputers.
You can watch exponent status here: https://www.mersenne.org/report_expo...xp_hi=79002000 or text only version: https://www.mersenne.org/report_expo...9002000&text=1 but at most 1000 exponents at once. You can see in the list all the factored exponents and exponents like 79000093 and 79000367 etc. have 1 LL test done but missing a double check, and then exponents like 79001921 missing a first time LL test. Edit: Please note you cannot see current assignments in that list that are not finished yet, unless you use the "Show full details" check mark: https://www.mersenne.org/report_expo...9002000&full=1 https://www.mersenne.org/report_expo...&text=1&full=1 Last fiddled with by ATH on 20180405 at 21:17 
20180405, 21:46  #3 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
2^{3}·7·167 Posts 
And if you try to take too many ahead of the wave front, it might overrun you before you have dealt with the exponents that you have.
Depending on the hardware that you might be using, don't try to pick up more than 5 or 10 exponents per PC on the first pass. Make sure that if you test any, to get Prime95 to register them as assigned. And think about doing 1 or 2 DC's (per PC) every once in a while (like each quarter.) 
20180405, 21:52  #4 
"Yury Vorobyov"
Jul 2013
Chelyabinsk
19 Posts 
No, I won't do that "space capture", I just want to run some funny functions on that list, that's all.
Nothing PrimeNet related. Ofc I could try manually check every single number via PrimeNet return web, it would simply generate too much effort for too little outcome, overuse of that would bring problems for PrimeNet, and there's simply no need for that if you just send the file to my email (__teupollam_at_gmail__, just with no underlines). Last fiddled with by sanaris on 20180405 at 21:57 
20180405, 22:15  #5 
Einyen
Dec 2003
Denmark
3,037 Posts 
What you mean by "available (not checked) exponents"? Those exponents with no first time LL test or also including exponents with one (or more LL tests) but not yet verified?

20180405, 22:19  #6 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
2^{3}×7×167 Posts 
I would suggest that you PM Madpoo and explain to him why he should invest his time to query the database for this (and then email you a large zip file). You can gather the data from the server yourself. It might be worth your time to learn how you can pull this data via a script or other program.

20180406, 03:14  #7 
Romulan Interpreter
Jun 2011
Thailand
2438_{16} Posts 
I would say run pari/gp and print a list of all primes to a billion or 300m or what you want, in a file. It takes seconds. And whatever "funny" functions you want to run on the primenet list, will run perfectly the same on the generated list, and who knows, you may find something interesting... (been there, did that, found nothing, but you may be cleverer or get luckier).

20180406, 04:04  #8  
Serpentine Vermin Jar
Jul 2014
2·5·7·47 Posts 
Quote:
Primenet doesn't "own" the exponents, and I think George would agree that providing info to anyone interested in research is fine. Presuming it's not too much work and they can be patient while we find the time to do it. To that end, it would be good to know what you're interested in finding out because it would help tailor the data to what you're after. Plus, it might be interesting to me too. I've made interesting discoveries while spelunking in the data. For example, by "not checked" do you simply mean it hasn't had even a single LL or PRP test done on it? Or would you be interested in how much factoring has been done? Every exponent has had at least some trial factoring, and quite a few below 332M have had P1 done to at least minimal B1/B2 bounds. And by "not checked", I would assume you wouldn't care about exponents that haven't been LL tested because a factor was found. But maybe your interest is something else entirely? 

20180406, 04:31  #9  
Serpentine Vermin Jar
Jul 2014
2·5·7·47 Posts 
Quote:
If you include exponents that are assigned for some sort of testing (LL, PRP, TF, P1, etc) then it's actually 4,700,166 

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