#10836: primitive root is broken
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Reporter: kcrisman |
Owner: was
Type: defect |
Status: needs_review
Priority: critical |
Milestone: sage-4.7
Component: number theory |
Keywords:
Author: Karl-Dieter Crisman, William Stein, Jeroen Demeyer |
Upstream: Reported upstream. Developers deny it's a bug.
Reviewer: William Stein, Karl-Dieter Crisman |
Merged:
Work_issues: |
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Comment(by kcrisman):
Whoah, Nelly! I see the 'niceification'. But two points.
* PARI doc explicitly says that it does ''not'' give the smallest root
for non-prime input.
* Do negative integers have primitive roots? I have never heard this. I
understand the extension of the definition, but a generator of "Z/(-5)Z"
somehow seems different to me than a "primitive root of -5". I was able
to [http://www.wolframalpha.com/input/?i=PrimitiveRoot%5B-5%5D crash !W|A]
with this, incidentally :)
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10836#comment:21>
Sage <http://www.sagemath.org>
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