Top network posts

• 120 All real numbers in $[0,2]$ can be represented as $\sqrt{2 \pm \sqrt{2 \pm \sqrt{2 \pm \dots}}}$
• 64 Conjectures that have been disproved with extremely large counterexamples?
• 60 An infinite train circling the planet that never stops
• 59 Mirror algorithm for computing $\pi$ and $e$ - does it hint on some connection between them?
• 56 Crazy pattern in the simple continued fraction for $\sum_{k=1}^\infty \frac{1}{(2^k)!}$
• 42 Prove that $\frac{1}{\phi}<\int_0^\infty \frac{e^{-x}}{\Gamma(x)} dx< \frac{24+\sqrt{2}}{41} $
• 42 Prove inequality $\arccos \left( \frac{\sin 1-\sin x}{1-x} \right) \leq \sqrt{\frac{1+x+x^2}{3}}$
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