User blog comment:Ikosarakt1/Leading digits of googolgong factorial/@comment-5529393-20130316233046/@comment-5529393-20130318141300

Okay, I verified your calculation using Mathematica. Calculating Skewes' number seems impossible, it requires calculating logarithms out to about e^79 decimal places - so yeah, we would need an incredible new algorithm. Calculating 3^^5 requires about 3.6 trillion digits, so it is just barely possible, if someone was willing to attempt it.