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• 16 Must a ring (commutative, with 1), in which every non-zero ideal is prime, be a field?
• 13 How do I show this $\cos^2(\arctan(x))=\frac{1}{1+x^2}$
• 13 Evaluate the limit $\lim\limits_{n \to \infty} \frac{1}{1+n^2} +\frac{2}{2+n^2}+ \ldots +\frac{n}{n+n^2}$
• 13 Linear independence of $\sqrt{2}$, $\sqrt[3]{2}$, $\sqrt[4]{2}, \dots$ over the rationals
• 10 Proof that $n/(n^2+1)$ tends to 0 as $n$ tends to infinity
• 9 When was it first realized that sound travels with finite speed?
• 9 Query regarding Theorem 1.21 in Baby Rudin
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