Let g be a primitive root of an odd prime p. Show that -g is also a primitive root of p if and only if p is congruent to 1 mod 4.

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- Feb 24th 2010, 06:00 AMNikoBellicprimitive roots
Let g be a primitive root of an odd prime p. Show that -g is also a primitive root of p if and only if p is congruent to 1 mod 4.

- Feb 24th 2010, 06:17 AMtonio