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Last 3 digits

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

Note by Idham Muqoddas
4 years ago

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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. Shivang Jindal · 4 years ago

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@Shivang Jindal do you know any other such articles especially for indian olympiad...? Alpha Beta · 4 years ago

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@Alpha Beta There are many many articles on AOPS also tell me more precisely , which topic? Shivang Jindal · 4 years ago

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

Top down: \(13^{12}\) Bottom up: \[3^{100}\] Daniel Leong · 4 years ago

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