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8 years, 5 months ago
Remainder 93! Mod 97 ?
8 years, 5 months ago
97 is prime number,so we can apply wilsons theorem here. 93!=(97-4)!, so According to Wilson's theorem,
(P-4)!/p=k where P is of 6k+1 form,
(P-4)!/p=p-k where p is of form 6k-1
Here 97=6(16)+1
So the remainder is 16.
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