# Primitive root

If $$n$$ is a positive integer, the integers between 1 and $$n − 1$$ that are coprime to $$n$$ (or equivalently, the congruence classes coprime to $$n$$) form a group with multiplication modulo n as the operation; it is denoted by Zn× and is called the group of units modulo n or the group of primitive classes modulo n. As explained in the article multiplicative group of integers modulo n, this group is cyclic if and only if n is equal to 2, 4, p^k, or 2p^k where pk is a power of an odd prime number. A generator of this cyclic group is called a primitive root modulo n, or a primitive element of Zn^×.

Note by Sattik Biswas
2 years, 1 month ago

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What is the [3], [4], [5] supposed to mean?

- 2 years, 1 month ago

Sorry it was a mistake, I removed it... by the way root ta ki bhabe likbo goh? LaTex?

$$\sqrt{x}$$

- 2 years, 1 month ago

You still have [5] in there. On Brilliant, communicating in English is recommended.

I'll edit your comment to make a $$\sqrt{x}$$. Click on edit and check that for reference.

- 2 years, 1 month ago

ahhhh....i am sorry again..i will remove it..since its my first note I am making too many mistakes.

- 2 years, 1 month ago

What matters is that you're posting notes, which is great!

- 2 years, 1 month ago

thank you very much. You the inspiration man

- 2 years, 1 month ago