20190412, 20:00  #12 
Einyen
Dec 2003
Denmark
5347_{8} Posts 
I think you made a mistake because I do not get any spikes when plotting number of factors with k=1 in bins of 1M, and it would not fit with the heuristic estimate of the number of sophie germain primes below n: 1.32032 * n / (ln n)^2

20190413, 17:59  #13 
Apr 2019
2·3^{2} Posts 
Yes. The plot certainly seemed odd, I suspected there might be a problem. It turned out to be the line endings in the file. Your file must be from Windows it had (\r\n) CR+LF style line endings. When I read it into Sage w/ Python on my Mac that was causing a problem. Once I stripped out the line endings, then I get a plot very similar to yours. Thanks AGAIN.

20190414, 00:06  #14  
Serpentine Vermin Jar
Jul 2014
3·5·7·31 Posts 
Quote:


20190423, 07:23  #15  
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
110110000001_{2} Posts 
Quote:
Last fiddled with by kriesel on 20190423 at 07:53 

20190423, 14:12  #16 
"Serge"
Mar 2008
Phi(3,3^1118781+1)/3
11·19·43 Posts 
Your sampling size at these boundaries changes by a factor of 10, so the curve has sharp bumps by a factor of 10. (The curve of expected densities is roughly logarithmic. And if you remove sampling bias, it will be.)

20190423, 14:48  #17  
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
3·2,591 Posts 
Quote:


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