Is this a possibly related issue:

sage: O(7^0)
---------------------------------------------------------------------------
ArithmeticError                           Traceback (most recent call last)
<ipython-input-1-85f5f0a44709> in <module>()
----> 1 O(Integer(7)**Integer(0))

/usr/local/sage/sage-current/local/lib/python2.7/site-packages/sage/rings/big_oh.pyc
 
in O(*x)
     84         F = arith.factor(x)
     85         if len(F) != 1:
---> 86             raise ArithmeticError("x must be prime power")
     87         p, r = F[0]
     88         if r >= 0:

ArithmeticError: x must be prime power


On Tuesday, 2 September 2014 17:02:45 UTC+2, John Cremona wrote:
>
> On 29 August 2014 12:32, Simon King <simon...@uni-jena.de <javascript:>> 
> wrote: 
> > Hi John, 
> > 
> > On 2014-08-29, John Cremona <john.c...@gmail.com <javascript:>> wrote: 
> >> 1 is definitely not a prime power. 
> > 
> > OEIS says it is: http://oeis.org/A000961 
>
> Not any more:   http://oeis.org/A246655.  The OEIS now distinguishes 
> between "prime powers" and "powers of primes". 
>
> John 
>
> > 
> >> It's basically the same reason that 1 
> >> is not a prime. 
> > 
> > It's basically the same reason that the empty product evaluates to 1. 
> > 
> > Best regards, 
> > Simon 
> > 
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