Problem #249

Sort
Public 06/19/15 6xp Math 13.4%

Consider the following HUGE numbers:
  • $$ a = googol! $$
  • $$ b = \textrm{Skewes' number}$$
  • $$ c = 2^{3^{4^{5^6}}} $$
  • $$ d = 6^{5^{4^{3^2}}} $$
  • $$ e = 4!!!! $$
  • $$ f = p_{googol}\# {(p_{n}\# \textrm{is the primorial function})} $$
Sort these numbers in ascending order.

Answer format: Comma separated list.
Example: f,e,d,c,b,a

For the record, the primorial function $ p_{n}\# $ is the product of the first n prime numbers.
$$ p_{5}\# = 2 \times 3 \times 5 \times 7 \times 11 = 2310 $$



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