Outnumbered.
I thought I should've won this contest, but I clearly couldn't think of any number larger than the theoretical 1st entry of the 2nd series of busy beaver numbers.
Okay, yeah, the 2nd number, obviously, but then I would have to rigorously define it, and I don't understand the math well enough for that.
"Good game"
"You admit defeat?"
"Yes, I admit defeat. Your knowledge of large numbers and advanced mathematics is clearly superior to mine."
" . . . aaaaaaand?"
" . . . and this is a clear fact even though I've spent 7 years of university...