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Problem #249

Sort
 Public ★(x15) 06/19/15 by Philippe_57721 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.

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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