I was studying Graham's number and before we can even start calculating $g_1$ which is:
$g_1 = 3\uparrow\uparrow\uparrow\uparrow 3$,
I was wondering if we even have the actual value of:
$3 \uparrow\uparrow\uparrow 3$.
I know it is a power tower of 3's that is 7.6 trillion high (which would reach from the earth to sun of powers of 3's if using a slightly larger font). I know that even the powers of three go up pretty quickly. So, do we even have a ball park figure for this number?