#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):

 Andrew, do you have some examples of wrong prime counts (beyond 2^49^),
 and if so, on what kind of systems does one experience them?

 While the old implementation was said to fail on (at least some) 32-bit
 systems for large inputs, the new one in contrast fails on 64-bit systems?

 (More or less just curious; perhaps I'll ''one day''^TM^ try to track this
 down, depending on the affected system(s) as well.)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11475#comment:8>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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