#13516: prime_powers doesn't work with start very well
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   Reporter:  kcrisman       |             Owner:  was     
       Type:  defect         |            Status:  new     
   Priority:  major          |         Milestone:  sage-5.4
  Component:  number theory  |          Keywords:          
Work issues:                 |   Report Upstream:  N/A     
  Reviewers:                 |           Authors:          
  Merged in:                 |      Dependencies:          
   Stopgaps:                 |  
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 See [https://groups.google.com/forum/?fromgroups=#!topic/sage-
 support/lW_a7ZE3Zf8 this sage-support thread].

 {{{

 In Sage 5.3, the function prime_powers behaves a little strange:

 sage: prime_powers(4,10)
 [4, 5, 7, 8, 9]
 # As expected

 sage: prime_powers(5,10)
 [7, 8, 9]
 # 5 isn't a prime power anymore???

 # And now things become even worse:
 sage: prime_powers(7,10)
 ---------------------------------------------------------------------------
 IndexError                                Traceback (most recent call
 last)

 /home/mueller/<ipython console> in <module>()

 /home/mueller/local/sage-5.3/local/lib/python2.7/site-
 packages/sage/rings/arith.pyc in prime_powers(start, stop)
     743     i = bisect(v, start)
     744     if start > 2:
 --> 745         if v[i] == start:
     746             i -= 1
     747         w = list(v[i:])

 IndexError: list index out of range
 }}}

 Yeah, this seems problematic.  The code in question is ''old'', too, so
 perhaps there is a more efficient way to do it in the meantime...

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13516>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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