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Python's pow builtin does binary exponentiation, if your arguments are ints. If the arguments are longs or a intermediate or final result overflows it uses left-to-right binary exponentiation or ...
The problem I've noticed is that if I append the file with each of the 100k runs (one at a time), it can happen that two threads try to save to the file at the same time and some row (s) end up empty.