Double Sum and Double Product

$\displaystyle \sum^{n}_{p=1} \sum^{n}_{m=p} \dbinom{n}{m} \dbinom{m}{p}$

If the value of the above expression is in the form $$a^n-b^n$$, where $$a$$ and $$b$$ are prime numbers, find $$a+b$$.

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