On Wed, Feb 23, 2011 at 1:14 PM, kcrisman <[email protected]> wrote:
>
>
> On Feb 23, 3:49 pm, William Stein <[email protected]> wrote:
>> On Wed, Feb 23, 2011 at 12:03 PM, kcrisman <[email protected]> wrote:
>> > In all recent alphas and rc0:
>>
>> And also in the *released* sage-4.6.1...
>>
>> This is definitely a serious bug.
>
> Yeah, I kind of figured!
>
>> It should be reported to the sage
>> trac and upstream to the PARI developers.
>
> See http://trac.sagemath.org/sage_trac/ticket/10836.   I have no
> desire to add yet another mailing list - can you report this
> upstream?   Also, feel free to make it a blocker; I put it at
> critical.

So far as I can tell the PARI mailing list is impossible to use.  The
only thing to do is to email Karim and Bill directly.

>> ? znprimroot(15)
>> %1 = Mod(2, 15)
>> ? znprimroot(8)
>>   ***   at top-level: znprimroot(8)
>>   ***                 ^-------------
>>   *** znprimroot: primitive root mod 8 does not exist.
>
> Yeah, that's actually how I ran into it - I was showing that Sage
> correctly has powers of 2 not having a primitive root, and then made
> an interact to test a relatively bizarre test for when both a and n-a
> are primitive roots mod n, which reported things that should not be.
>
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-- 
William Stein
Professor of Mathematics
University of Washington
http://wstein.org

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