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July 08, 2009, 07:42

As ZachPruckowski and other pointed out, the analysis is misleading. The skew is due to the big integer computation and has no bearing on the theory of asymptotic analysis. The syntactical sugar of python disguising the underlying big number implementation has mislead your analysis.
It is like expecting length(string) is O(1) operation, because you could express it as an say # operator.

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