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Find the largest - digit number , such that divides .
The answer is 997.
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(n-1)!= -1(mod n) [It follows directly from Wilson's Theorem] So, if n divides (n-1)! + 1, n is prime. Now, you can check out the list for the largest 3 digit prime no. note link [[This is the link on Brilliant itself from Arron Kau's Note]].