Using Exercise 28 below, find the remainder of 24! modulo 29. Data from Exercise 28 Using Exercise
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Using Exercise 28 below, find the remainder of 24! modulo 29.
Data from Exercise 28
Using Exercise 27, deduce the half of Wilson's theorem that states that if pis a prime, then (p - 1)! ≡ -1 (mod p ). [The other half states that if n is an integer > 1 such that (n - 1 )! ≡ -1 (mod n ), then n is a prime. Just think what the remainder of (n - l)! would be modulo n if n is not a prime.]
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