#11475: improve prime_pi (speedup + small fixes)
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   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):

 Replying to [comment:37 rohana]:
 > Replying to [comment:35 leif]:
 > > Replying to [comment:33 rohana]:
 > > > I have verified that `prime_pi` gives correct output for `i*10**12`
 with `0 <= i <= 1000` on x86_64 :).
 > >
 > > Besides a couple of other values on individual machines,
 > Which machines have you had issues with?

 Oh, I didn't get any wrong results; I just meant I've also tested
 `prime_pi(x)` with some "random" values (besides the mentioned powers of 2
 and ten), but not systematically on all machines (all Linux boxes;
 Pentium4 Northwood, P4 Prescott and Core2).

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11475#comment:38>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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