Is it not divergent?

S=x=1(21/x221/x3)\large S=\sum _{ x=1 }^{ \infty } \left( 2^{1/x^2 } - 2^{ 1/x^3 } \right)

Find 100S\left\lfloor 100S \right\rfloor.

Details and Assumptions

If you believe that the sum is divergent, put zero as your answer.


This problem is original.
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