MathDB

Given

n=2020

, sort the

6

values

n^{n^2},\,\, 2^{2^{2^n}},\,\, n^{2^n},\,\, 2^{2^{n^2}},\,\, 2^{n^n},\,\,\text{and}\,\, 2^{n^{2^2}}

from least to greatest. Give your answer as a 6 digit permutation of the string "123456", where the number

i

corresponds to the

i

-th expression in the list, from left to right.

4