20150311, 14:13  #34 
Aug 2005
11^{2} Posts 
Douglas Staple programmed up a very good algorithm and he has some hella big computing power available. We should see pi(1e27) soon. I think pi(1e28) might best be a distributed project. That would be right up our alley.

20151125, 10:00  #35 
Aug 2005
11^{2} Posts 
Dear all,
Using Kim Walisch's primecount program and 34 days on my BigRig computer, I have now independently confirmed Staple's result of pi(10^26) = 1699246750872437141327603. Best regards, David Baugh 
20151125, 12:46  #36 
Sep 2015
3·7 Posts 
Thanks David!
Are few more details about the computation: pi(10^26) = 1,699,246,750,872,437,141,327,603 The computation took 34 days on David's dual socket server (36 CPU cores, Intel Xeon E52699 v3) which corresponds to 3.35 CPU cores years. The peak memory usage was about 117 gigabytes. 
20151125, 13:40  #37 
Nov 2007
Halifax, Nova Scotia
2^{3}×7 Posts 
Nice work, David! I'm glad to hear it.

20151129, 05:30  #39 
Jan 2007
Germany
1004_{8} Posts 
Wow , this number pi(10^26) is correct. Many months ago, I found in a eMailcomment with another methode this number.
1,699,246,750,872,437,141,327,603 found by Guillimin and Briarée in 2014 .. was long ago. Norman http://www.mersenneforum.org/showthr...918#post388918 Last fiddled with by Cybertronic on 20151129 at 05:36 
20151130, 07:38  #40 
Aug 2005
11^{2} Posts 
D. B. Staple first found the value using the supercomputers you mentioned. My post was to announce that it has now been independently confirmed. I think we both used the same essential method (combinatorial). I used Walisch's implementation and Staple used his own.

20151202, 16:26  #41  
Aug 2006
1763_{16} Posts 
Quote:


20151202, 20:44  #42 
"Dana Jacobsen"
Feb 2011
Bangkok, TH
1615_{8} Posts 
Kor 5.3 is defined for 10^8 < x < 10^19, while 1.9 is 2 <= x <= 10^19.
Also 1.9's leading factor is $\frac{\sqrt{x}}{\log x}$ while Kor 5.3 would be $\sqrt{x} \over \log{\sqrt{x}}$ if I interpret the start of section 5.1 correctly. 
20151207, 03:52  #43 
Aug 2006
1763_{16} Posts 
I accounted for the latter with my *2 above, but I didn't see the former. Thanks!

20161225, 22:15  #44 
Jan 2005
Minsk, Belarus
2^{4}×5^{2} Posts 

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