# Divisibility Problems

Discrete Mathematics Level pending

Consider the set of numbers from $$1$$ to $$2^{103}$$ inclusive. The probability that a number chosen from this set does not divide $$2^{103}$$ can be expressed in the form $$1 - \frac{a}{b^{c}}$$, where $$a$$ and $$b$$ are coprime positive integers. Determine $$a+b+c$$.

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