20210322, 19:10  #45  
Bamboozled!
"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across
10110000111000_{2} Posts 
Quote:
At least two groups, one of which included me, have done better than C130. 

20210322, 19:12  #46  
Bamboozled!
"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across
2^{3}·5·283 Posts 
Quote:
RDS has documented many times in many sources how he created the challenges. I have no reason to doubt his word that the constituent primes were chosen solely from the output of a true (i.e. hardware) random number generator. 

20210323, 08:00  #47 
Just call me Henry
"David"
Sep 2007
Liverpool (GMT/BST)
1761_{16} Posts 

20210324, 00:43  #48  
Aug 2006
3·1,993 Posts 
Quote:


20210324, 02:37  #49  
"Ben"
Feb 2007
E21_{16} Posts 
Quote:


20210324, 04:02  #50  
Aug 2006
3×1,993 Posts 
Quote:


20210324, 13:31  #51  
"Ben"
Feb 2007
3,617 Posts 
Quote:
So the answer to henryzz's question is that rsa100 is slower because there is no good multiplier, and the factor base stinks. sum of log primes, p, for p < 1000, in the factor base for my random C100 is 496.9. sum of log primes, p, for p < 1000, in the factor base for RSA100 is 394.2. I.e., significantly fewer small primes in the factor base. I guess this is just bad luck. sum of log primes, p, for p < 1000, for 10 other randomly generated rsa100's (using yafu's rsa() function): Code:
461.0 557.6 478.3 446.6 522.0 481.9 494.9 488.4 466.2 434.8 [edit] Generated 30 more to get a larger data set with mean sum(log(p)) of 496.9 and std of 36.99. So RSA100 is about 2.7 standard deviations below the mean of this data set. Unlucky, but not extremely so. Last fiddled with by bsquared on 20210324 at 13:43 Reason: stats 

20210324, 13:45  #52 
Jun 2003
2×2,683 Posts 

20210324, 14:00  #53  
"Ben"
Feb 2007
3,617 Posts 
Quote:
Quote:
RSA120: 482.6 (multiplier: 13) RSA130: 471.4 (multiplier: 1) So, RSA110 is 2.2 std below the mean. RSA120 and RSA130 are pretty close to the mean. Last fiddled with by bsquared on 20210324 at 14:00 Reason: fix quote 

20210324, 14:52  #54 
Jun 2003
2·2,683 Posts 
Given this data (and the rest of the thread comments), I think it is reasonable to conclude that nothing special was done for RSA number generation in terms of QSresistance. That's a longwinded way of saying, NTSHMA

20210324, 16:55  #55 
Sep 2009
2,333 Posts 
What is the first digit of RSA100 compared to your C100's? If it starts with 8 or 9 and yours mostly start with a smaller digit that would explain it. (I'm assuming they are all the same number of digits).
Chris 
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