20210508, 15:29  #78 
Einyen
Dec 2003
Denmark
7×449 Posts 
I think RDS mentioned once regarding the old ECM paper he wrote, that for ECM ideally time spent in step1 and step2 should be the same, and in some ideal implementation B2=c*B1^{2}. But that was for ECM, not sure if that applied to P1 and P+1.
Last fiddled with by ATH on 20210508 at 15:30 
20210508, 15:44  #79 
Aug 2002
Buenos Aires, Argentina
1360_{10} Posts 
There is no difference because all these algorithms use smooth numbers. The difference is that we are requiring that p1, p+1 or p+a are smooth (the absolute value of a in ECM is less than 2*sqrt(p) by Hasse's theorem).

20210508, 17:10  #80  
P90 years forever!
Aug 2002
Yeehaw, FL
2·3^{3}·139 Posts 
Quote:
The balance depends entirely on how efficient stage 1 is compared to stage 2. As you noted, GMPECM has a superefficient stage 2 which implies B2/B1 should be much higher. Recent versions of prime95 have seen an increase in stage 2 efficiency. Prime95 does a binary search looking for the optimal B2. Prime95 defines this as the point where the effort of increasing B2 further would be better spent on increasing B1 according to Mihai's smoothness probability calculator based on Dickman's function. 

20210508, 19:48  #81 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
1352_{16} Posts 

20210508, 21:03  #82 
Jul 2003
wear a mask
3150_{8} Posts 
Here's a file with 8x more candidates; this covers the 1.7M range of Mersenne numbers without a known factor.

20210508, 21:43  #83 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
11522_{8} Posts 

20210508, 22:04  #84 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
2·2,473 Posts 
Got unsupported assignment but they are running and also not uploading results to the server.
Last fiddled with by pinhodecarlos on 20210508 at 22:04 
20210508, 23:30  #85  
Aug 2002
Buenos Aires, Argentina
2^{4}·5·17 Posts 
Quote:


20210508, 23:55  #86  
Jul 2003
wear a mask
2^{3}·5·41 Posts 
Quote:
It looks like your results are being recorded here. There don't appear to be blocking assignments (someone else has a reservation on the exponent) here. Maybe it will soon be time for a Primenet P+1 reservation system? 

20210509, 07:53  #87 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
2·2,473 Posts 
Yep, they are now reporting correctly. Not sure why yesterday I had those messages but to be honest I didn’t bother to investigate since I was already in bed…lol My progress is 4/hour.

20210510, 17:07  #88 
Einyen
Dec 2003
Denmark
7·449 Posts 
Not sure how this "P+1" factor was found in stage1 with B1=550,000 ?
8676163 : P=538825884739595715103 B1 is larger than 5 of 6 factors of P1 and larger than 4 of 6 factors of P+1. P+1=2^{5} * 19 * 43 * 15973 * 568091 * 2271287 P1= 2 *3 * 2953 * 12163 * 288181 * 8676163 Maybe stage2 ran but was not reported? Last fiddled with by ATH on 20210510 at 17:09 
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