Number Theory Show that 18! = -1 (mod 437 = 19x23)

Number Theory

Show that 18! = -1 (mod 437 = 19x23)

Expert Solution

Colby Messinger answered 2 years ago

Number Theory: Let p be an odd number. Recall that a primitive root, mod p, is...

Number Theory: Let p be an odd number. Recall that a primitive root, mod p, is an integer g such that gp-1 = 1 mod p, and no smaller power of g is congruent to 1 mod p. Some results in this chapter can be proved via the existence of a primitive root(Theorem 6.26) (c) Given a primitive root g, and an integer a such that a is not congruent to 0 mod p, prove that a is a square...

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Question

Number Theory Show that 18! = -1 (mod 437 = 19x23)

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