Find a prime factor of 99!-1

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June 7th 2005, 03:12 AM
cornoth

Find a prime factor of 99!-1

Find a prime factor of 99!-1
June 14th 2005, 05:12 PM
hpe

Quote:

Originally Posted by cornoth

Find a prime factor of 99!-1

101, because 101 is prime and $99! \equiv -100! \equiv 1$ in $Z_{101}$
June 16th 2005, 05:19 AM
cornoth

oh thats right, wilson's theorem.
thanks hpe!

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