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find last 3 digits of \[2013^{2012^{2011^{\cdots^{3^{2^1}}}}}\]

Note by Idham Muqoddas 4 years, 11 months ago

Easy Math Editor

*italics*

_italics_

**bold**

__bold__

- bulleted- list

1. numbered2. list

paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)

> 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"

2 \times 3

2^{34}

a_{i-1}

\frac{2}{3}

\sqrt{2}

\sum_{i=1}^3

\sin \theta

\boxed{123}

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See this article Example 6 . See example 6

Also if you want to have more harder application of euler totient theorem then , do the full article . It is very nice article.

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do you know any other such articles especially for indian olympiad...?

There are many many articles on AOPS also tell me more precisely , which topic?

Depends whether you work from the top down or bottom up.

Top down: \(13^{12}\) Bottom up: \[3^{100}\]

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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewestSee this article Example 6 . See example 6

Also if you want to have more harder application of euler totient theorem then , do the full article . It is very nice article.

Log in to reply

do you know any other such articles especially for indian olympiad...?

Log in to reply

There are many many articles on AOPS also tell me more precisely , which topic?

Log in to reply

Depends whether you work from the top down or bottom up.

Top down: \(13^{12}\) Bottom up: \[3^{100}\]

Log in to reply