Show that: $\displaystyle a,b\in \mathbf{Z^{+}}$ and $\displaystyle b>2 \Rightarrow 2^{a}+1\nmid2^{b}-1$
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What about: $\displaystyle a = 3, \ b = 6$ $\displaystyle 2^3 + 1 = 9 \mid 63 = 2^6 - 1$
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