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^×.

#NumberTheory

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

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Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
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Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[example link](https://brilliant.org)`	example link
`> This is a quote`	This is a quote
# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

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

Agnishom Chattopadhyay - 5 years, 2 months ago

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

$\sqrt{x}$

Sattik Biswas - 5 years, 2 months 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.

Agnishom Chattopadhyay - 5 years, 2 months ago

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

Sattik Biswas - 5 years, 2 months ago

@Sattik Biswas – What matters is that you're posting notes, which is great!

Agnishom Chattopadhyay - 5 years, 2 months ago

@Agnishom Chattopadhyay – thank you very much. You the inspiration man

Sattik Biswas - 5 years, 2 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$