Board Thread:Local Games/@comment-7395353-20151106203233/@comment-5617649-20151122004820

Steve820 wrote: $$ \left. \begin{matrix} & &10^{100^{\cdot^{\cdot^{\cdot^{100}}}}}\underbrace{\uparrow \uparrow \cdots\cdots\cdots\cdots\cdots \uparrow}10^{100^{\cdot^{\cdot^{\cdot^{100}}}}} \\ & &10^{100^{\cdot^{\cdot^{\cdot^{100}}}}}\underbrace{\uparrow \uparrow \cdots\cdots\cdots\cdots \uparrow}10^{100^{\cdot^{\cdot^{\cdot^{100}}}}} \\ & &\underbrace{\qquad\;\; \vdots \qquad\;\;} \\ & &10^{100^{\cdot^{\cdot^{\cdot^{100}}}}}\underbrace{\uparrow \uparrow \cdots\cdot\cdot \uparrow}10^{100^{\cdot^{\cdot^{\cdot^{100}}}}} \\ & &10^{100^{\cdot^{\cdot^{\cdot^{100}}}}}\uparrow \uparrow \uparrow \uparrow10^{100^{\cdot^{\cdot^{\cdot^{100}}}}} \end{matrix} \right \} \text{GN layers} $$ "GN" means Graham's number. There are a Graham's number amount of "100"'s in every exponent.

Let's say that the above number is Steve's number (SN for short).

Here's something incredibly insane:

SN!SN! . . . SN! ^ SN!SN! . . . SN! ^ SN!SN! . . . SN! ^ SN!SN! . . . SN! ^ SN!SN! . . . SN! .....   ↑↑↑  SN!SN! . . . SN! ^ SN!SN! . . . SN! ^ SN!SN! . . . SN! ^ SN!SN! . . . SN! ^ SN!SN! . . . SN! .....   ↑↑↑    SN!SN! . . . SN! ^ SN!SN! . . . SN! ^ SN!SN! . . . SN! ^ SN!SN! . . . SN! ^ SN!SN! . . . SN! .....    ↑↑↑     ...........

"SN!" is the factorial of Steve's number. The factorial of SN repeats for a Steve's number amount of times in the exponent. That exponent is to the power of the exponent (^), repeating for a Steve's number of times, before the up-arrow notation. The whole equation and the up-arrow notation is repeated again, and again for a total of Steve's number amount of times. Who can beat me now? :D