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Does Zp Contain Primitive Fourth Roots of Unity?: Investigating p
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[QUOTE="I like Serena, post: 4578160, member: 312166"] Hi Funky1981! :smile: The expression ##p \equiv 1 \pmod 3## means that there is a k such that ##p=3k+1##. Now suppose g is a primitive root mod p. Then ##g^{\phi(p)} \equiv g^{3k} \equiv 1 \pmod p##. Therefore ##g^k## is a cube root of 1 in ##\mathbb Z_p##.Same argument holds for ##p \equiv 1 \pmod 4##... [/QUOTE]
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Does Zp Contain Primitive Fourth Roots of Unity?: Investigating p
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