#7013: [with patch, needs work] prime_pi and nth_prime
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   Reporter:  kevin.stueve   |       Owner:  kevin.stueve            
       Type:  enhancement    |      Status:  needs_work              
   Priority:  major          |   Milestone:  sage-4.3                
  Component:  number theory  |    Keywords:  primes, sieve, table,LMO
Work_issues:                 |      Author:  Kevin Stueve            
   Upstream:  N/A            |    Reviewer:  was,robertwb,GeorgSWeber
     Merged:                 |  
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Comment(by GeorgSWeber):

 I'd vote to change the tables (and the algorithms) such that each entry is
 four Bytes (instead of three) in size. The uncompressed tables currently
 are 3 MB, probably they would grow to 4 MB by this change. So what. They
 could be read out as u32 values on the mainstream platforms, and on
 platforms with the other endianness, the speed-regression would be
 marginal.

 The big gain is that (as I understand it) we don't need to cap at 10^^16,
 but only (far?!?) later, if the LMO code is not available.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7013#comment:24>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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