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%timeit(number=1, repeat=1)
L = [sigma(n) for n in range(10**13, 10**13 + 5)]
1 loops, best of 1: 162 ms per loop 
%timeit(number=1, repeat=1)
L = [sigma(n) for n in range(10**14, 10**14 + 5)]
1 loops, best of 1: 1.37 ms per loop 
proof.all(False)

%timeit(number=1, repeat=1)
L = [sigma(n) for n in range(10**13, 10**13 + 5)]
1 loops, best of 1: 4.42 ms per loop 
%timeit(number=1, repeat=1)
L = [sigma(n) for n in range(10**14, 10**14 + 5)]
1 loops, best of 1: 352 µs per loop