Cody Problem 44068 asked us to count the trailing zeros in a factorial. This problem deals with the primorial. If 
is the nth prime number, then the primorial # is the product of the prime numbers up to and including . For example, if n = 5, then 
# = 
= 2310, which has one trailing zero.
is the nth prime number, then the primorial # is the product of the prime numbers up to and including . For example, if n = 5, then # = = 2310, which has one trailing zero.Count the trailing zeros in the primorial #. Because primorials become large quickly, for large n it helps to derive a formula for the number of trailing zeros.*
#. Because primorials become large quickly, for large n it helps to derive a formula for the number of trailing zeros.*Please make your code general because I might add more tests later.
See also Cody Problems 46057 "Find the last non-zero digit in a primorial" and 46060 "Identify primorial primes".
*;-)
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