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Old 2005-07-24, 23:34   #1
Dougy
 
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Aug 2004
Melbourne, Australia

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Question Primorial question

For the question I need a slightly modified definition of primorial. Let n# = the product of all primes less than or equal to n, for all natural numbers n. Note that this disobeys the convention that n must be prime for n# to be valid.

Does the sequence 3#, 3##, 3###, ... get arbitarily large? Or could there exist a (non-trivial) natural number k such that k#=k##?
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