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• 96 Can we remove any prime number with this strange process?
• 63 Make 0 0 0 0 = 8
• 35 Is $100$ the only square number of the form $a^b+b^a$?
• 35 In molecular mechanics, how are van der Waals forces modelled?
• 30 How to evaluate double limit of multifactorial $\lim\limits_{k\to\infty}\lim\limits_{n\to 0} \sqrt[n]{n\underbrace{!!!!\cdots!}_{k\,\text{times}}}$
• 30 Show that the maximum value of this nested radical is $\phi-1$
• 29 Let $A=(a_{ij})$ be an $n\times n$ matrix. Suppose that $A^2$ is diagonal. Must $A$ be diagonal?
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