moser < 3→3→4→2
your number is then a bit less than
(18→100→8→(8↑(3→3→4→2)))→80((3→3→4→2)→(3→3→4→2))
i think...
a bigger number: G→G→G→G→G→G→G→G
i think..
which means (G→G→G→G→G→G→G)→ itself G times
and then a single G→G→G→G→G→G→G equals
(G→G→G→G→G→G)→ itself G times
and so on
G is grahams number
Grahams number: 3↑↑↑3 is the first tower G1
3→3→(3↑↑↑3) is the second tower G2 this also equals
3→3→3→3→3
G3 is 3→3→3→3→3→3→3
and so on...
Grahams number, G64 is
3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3→3
which alone is probably bigger than your number
Mosers # is miniscule in comparison