#11475: improve prime_pi (speedup + small fixes)
-----------------------------+----------------------------------------------
Reporter: rohana | Owner: was
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.7.1
Component: number theory | Keywords: primes, prime counting, prime_pi
Work_issues: | Upstream: N/A
Reviewer: | Author: R. Andrew Ohana
Merged: | Dependencies:
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Comment(by leif):
I've so far only tested a little (on 64-bit Linux; dead old 32-bit box
still building Sage), but already found one wrong result '''with patch
v3''':
{{{
502000000000000 15296923904889 # 11475v3
502000000000000 15296922045596 # correct result, (at least) double-
checked
}}}
Note that 502*10^12^ is ''below'' 2^49^ (562.949.953.421.312).
As my machines are still busy, you could perhaps check if the newer
version(s) give the correct result.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11475#comment:21>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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