#9401: pari(n).isprime(1) does not give the primality certificate to the user
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       Reporter:  zimmerma          |        Owner:  AlexGhitza
           Type:  defect            |       Status:  needs_review
       Priority:  major             |    Milestone:  sage-5.12
      Component:  basic arithmetic  |   Resolution:
       Keywords:  prime number      |    Merged in:
        Authors:                    |    Reviewers:
Report Upstream:  N/A               |  Work issues:
         Branch:                    |       Commit:
   Dependencies:                    |     Stopgaps:
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Changes (by zimmerma):

 * status:  new => needs_review
 * cc: wstein, robertwb (added)


Comment:

 the attached patch does several things:

 1) it fixes two typos in {{{gen.pyx}}}

 2) it corrects the behaviour of {{{pari(n).isprime(1)}}} which incorrectly
 was returning {{{False}}} for prime n

 3) for prime n, now {{{pari(n).isprime(1)}}} returns a tuple {{{(True,
 cert)}}} where {{{cert}}} is the primality certificate (currently as Pari
 object, I didn't figure out how to convert it to a Python object)

 Comments are welcome.

 Paul

--
Ticket URL: <http://trac.sagemath.org/ticket/9401#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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