20230124, 14:44  #991  
"James Heinrich"
May 2004
exNorthern Ontario
11×373 Posts 
Quote:
The purpose of the "poorly P1 factored" page (and George's DC thread) is to find exponents were P1 was done badly and get it redone better, because PrimeNet won't hand out P1 assignments if any P1 work was done, even if it's nearuseless. Semantics aside, there's the practical issue of differentiating exponents with no P1 where it maybe should've been done but wasn't, vs hasn't been done because nobody got around to it yet. The vast majority of exponents above ~130M or so have no P1, but that's normal and expected, and when the wavefront moves there PrimeNet will assign those exponents out for P1 factoring. If you're looking for exponents that haven't had any P1 work done, presumably you're not looking for exponents in the 130M999M range that haven't been tested because nobody got there yet. Which only leaves the exponents that PrimeNet skipped over assigning for P1 factoring because they're provencomposite, either by LL+DC, PRP+DC, PRP+proof, or factored. For factored exponents, you can/should use Factoring Beyond First Factor with the "No P1" filter set. I will consider how to possibly incorporate noPM1provencomposite exponents into this tool. Last fiddled with by James Heinrich on 20230124 at 14:52 

20230124, 16:32  #992 
Aug 2002
Buenos Aires, Argentina
3·499 Posts 
Most Mersenne numbers already factored in the M17.1 range have no P1 done.
Since that page now includes numbers that have at a least one prime factor, it would be very useful to show what numbers have no P1 done in order to know what numbers have to be processed first. 
20230124, 21:29  #993  
"James Heinrich"
May 2004
exNorthern Ontario
11·373 Posts 
Quote:


20230124, 21:41  #994 
"James Heinrich"
May 2004
exNorthern Ontario
11·373 Posts 
I've been poking around in the database looking for exponents that are:
* not prime * not PRP * have no factors * have no P1 effort I haven't found anything under 100M. Perhaps I'm overlooking something, and would appreciate any counterexamples anyone wants to provide. The smallest example I found in my data is 104818627 but that's also weird  there is no logged P1 effort, but PrimeNet does indicate that P1 has been done (B1=763k,B2=~23M) but with no record of who/when. There seem to be quite a few like that in the 104M107M range, only above 108M do I start finding exponents where PrimeNet really doesn't think any P1 has been done. 
20230124, 21:48  #995 
Sep 2022
2^{2}·17 Posts 
I found the same  nothing under 100M fit those criteria it seems.

20230124, 23:42  #996  
Aug 2002
Buenos Aires, Argentina
3·499 Posts 
Quote:


20230125, 01:22  #997 
Dec 2022
2^{2}×59 Posts 
Rubiksmath: Thanks for the example. I imagine exponents like 13877 are actually calculated using 2^40, and despite the 10% stated probability that's about the worst P1 you'll see.

20230125, 01:58  #998  
Jul 2003
Behind BB
2^{2}·17·29 Posts 
Quote:


20230125, 02:13  #999  
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
5^{3}·59 Posts 
Quote:
Also, gpuowl v7.x generates separate PM1 and PRP result lines, as for 75164563 and those were properly recognized and stored. Note time skew between lines is tens of hours. Code:
{"status":"NF", "exponent":"75164563", "worktype":"PM1", "B1":"1000000", "B2":"30000000", "fftlength":"4194304", "program":{"name":"gpuowl", "version":"v7.253ge27846f"}, "user":"kriesel", "computer":"asr2/radeonvii4", "aid":"redacted", "timestamp":"20220916 00:55:44 UTC"} {"status":"C", "exponent":"75164563", "worktype":"PRP3", "res64":"cebed481e49f5d58", "residuetype":"1", "errors":{"gerbicz":"0"}, "fftlength":"4194304", "proof":{"version":"1", "power":"10", "hashsize":"64", "md5":"redacted"}, "program":{"name":"gpuowl", "version":"v7.253ge27846f"}, "user":"kriesel", "computer":"asr2/radeonvii4", "aid":"redacted", "timestamp":"20220916 21:58:06 UTC"} Last fiddled with by kriesel on 20230125 at 02:20 

20230126, 02:39  #1000 
Dec 2022
2^{2}·59 Posts 
Well, I have just run into Rubiksmath's original problem, which is more evident with factored exponents included: the tool is useless below 1M due to a combination of the unrealistic 2^40 assumed TF and the 20% maximum probability. The Factoring Limits on mersenne.org does not do factored exponents, leaving no automated way to find such. Some can be found by using the stage1only option of "Factoring Beyond First Factor", but the actual limit would still need to be checked on individual exponent pages.

20230127, 01:23  #1001 
"Doug K"
Aug 2021
California
2^{2}·7 Posts 
TF minimums on 'Worst P1 factoring effort' page
Something for the tailend of your too long todo list:
On https://www.mersenne.ca/pm1_worst.php, when the 'known factors' or 'either' box checked, the results TF column will show TFs below 2^67. Thanks for cranking out all the maintenance and updates! 
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