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Furthermore, in modular arithmetic, a number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n. That is, g is a primitive root modulo n if for every integer a coprime to n, there is some integer k for which gk a (mod n). This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.
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Furthermore, i'm trying to prove the following, after seeing a similar post about a being an odd primitive root (Primitive roots modulo n and 2n.) if n in mathbb N is odd and a in mathbb Z is an even primitive root modulo n, then an is a primitive root modulo 2n. This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.
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In modular arithmetic, a number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n. That is, g is a primitive root modulo n if for every integer a coprime to n, there is some integer k for which gk a (mod n). This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.
Furthermore, i'm trying to prove the following, after seeing a similar post about a being an odd primitive root (Primitive roots modulo n and 2n.) if n in mathbb N is odd and a in mathbb Z is an even primitive root modulo n, then an is a primitive root modulo 2n. This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.
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Moreover, i'm trying to prove the following, after seeing a similar post about a being an odd primitive root (Primitive roots modulo n and 2n.) if n in mathbb N is odd and a in mathbb Z is an even primitive root modulo n, then an is a primitive root modulo 2n. This aspect of What Are Primitive Roots Modulo N Mathematics Stack Exchange plays a vital role in practical applications.
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