Monday, 30 December 2013

elementary number theory - the exponent of the highest power of p dividing n!

The formula for the exponent of the highest power of prime p dividing n! is npk, but the question is n=1000! (really, it has the factorial) and p=5.



When I use Wolfram Alpha , I panicked because the number has 2,567 decimal digits.




I think if I write this number I'd need paper all the way to the Amazon.



Perhaps I misunderstand the formula?

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