#5535: [with patch, needs review] is_primitive is computes integer prime
factorization on every call
-------------------------+--------------------------------------------------
 Reporter:  rhinton      |       Owner:  tbd
     Type:  enhancement  |      Status:  new
 Priority:  major        |   Milestone:     
Component:  algebra      |    Keywords:     
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Comment(by cremona):

 One more comment:  NTL has efficient routines for modular exponentiation
 modulo polynomials over GF(p) which could be used to find the order of X
 modulo f(X) and hence test primitivity of f:  see
 http://www.shoup.net/ntl/doc/ZZ_pX.txt.  This would entirely independent
 of the improvement implemented in this patch, of course.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5535#comment:7>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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