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abacaba
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28
Do we have $\sum_{n=1}^{\infty}\frac{\gcd\left(1+n!,1+n^{2}\right)}{n!}\stackrel{?}{=}e$?
23
Summation of a subset of numbers from given intervals.
17
Conjecture: If $n$ is an odd positive integer then $\gcd\left(2^{n}+5,5^{n}-3^{n}\right)=1$.
16
Which is bigger, ${\sqrt2}^9$ or $9^{\sqrt2}$? (no calculator)
16
Intuition is silent: Find the probability that the smallest circle enclosing $n$ random points on a disk lies completely on the disk, as $n\to\infty$.