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Bentley's Number is equal to $$\sum^{9}_{i=0}10\uparrow\uparrow i=1+10+10^{10}+10^{10^{10}}+10^{10^{10^{10}}}+...+10^{10^{10^{10^{10^{10^{10^{10^{10}}}}}}}} =$$$$10,000,000,011+10^{10^{10}}+10^{10^{10^{10}}}+...+10^{10^{10^{10^{10^{10^{10^{10^{10}}}}}}}}$$,[1] (here $$10\uparrow\uparrow 0=1$$) using Knuth's Arrow Notation.[2] It is based on the story Forever Endeavor.

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