20201122, 15:48  #1 
Random Account
Aug 2009
U.S.A.
2·839 Posts 
ECM Factors
Question: Where are the majority of factors found in ECM? Stage 1 or Stage 2?

20201122, 18:20  #2 
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
10011111001111_{2} Posts 

20201123, 15:31  #3 
Random Account
Aug 2009
U.S.A.
1678_{10} Posts 

20201123, 16:32  #4 
Jun 2003
12A7_{16} Posts 
Something's lost in translation. Rather than explain why you've misunderstood that (oddly phrased) statement, can you explain to us why you think that is not always the case?

20201123, 16:44  #5  
Sep 2009
3625_{8} Posts 
Quote:
But that's not true. A quick search of recent ECM work I've done reveals: Code:
********** Factor found in step 2: 450447448630040607679056578447 Found composite factor of 30 digits: 450447448630040607679056578447 Prime cofactor 857728978884123546562041187998599433152336542089743038903 has 57 digits 

20201123, 18:00  #6  
Random Account
Aug 2009
U.S.A.
2·839 Posts 
Quote:
Quote:
"Multiple factors can be found below B1, but only one factor above..." Oddly phrased? Perhaps the individual who wrote this statement thought I may not understand a more complex response, so he kept it simple. This was probably three years ago, at least. Who wrote it, I cannot remember. 

20201123, 18:39  #7  
Einyen
Dec 2003
Denmark
3^{2}·331 Posts 
Quote:
Besides with ECM it is the group order that has to be smooth and the group order changes with each curves sigma. Last fiddled with by ATH on 20201123 at 18:43 

20201123, 19:18  #8  
"Curtis"
Feb 2005
Riverside, CA
1171_{16} Posts 
Quote:


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