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Euler's theorem relate to the remainder of various powers and has applications ranging from modern cryptography to recreational problem-solving. See more

How many positive integers \(n>1\) evenly divide \(a^{13}-a\) for all positive integers \(a?\)

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**
Paola Ramírez**

Find the sum of all prime numbers \(p\) such that \(p|\underset { p }{ \underbrace { 111\dots 1 } } \).

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**
Michał Jesionowski**

\[\Huge {\color{blue}9}^{{\color{green}8}^{{\color{red}7}^{{\color{brown}6} ^{\color{magenta}5}}}}\]

What are the last two digits when this integer fully expanded out?

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**
Kalpok Guha**

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**
Dylan Pentland**

Find the tens digit of \[ \Large 2014^{2014^{2014}}. \]

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**
Steven Yuan**

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