Not sure if this is a known bug or not.
SageMath version 8.0, Release Date: 2017-07-21
sage: mod(0, 17).is_primitive_root()
True
The easy fix would just be to add
if self == 0:
return True
after
https://github.com/sagemath/sage/blob/master/src/sage/rings/finite_rings/integer_mod.pyx#L1586.
This also fixes the issue with p^j being a primitive root mod p^k where p
is an odd prime.
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