23 How should I be avoiding this mistake? (To avoid missing solutions) 19 Simplifying $\sqrt{161-72 \sqrt{5}}$ 17 Solution to differential equations $y(0)=1$ and $y^{(n)}=y+1$ 17 Is there only one pair of unequal rational numbers with $n^m = m^n$? 15 Prove $2^{1/3} + 2^{2/3}$ is irrational

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### Questions (40)

 25 Nested radicals of 1000 square roots 10 When is a Sudoku like table solvable 10 Prove that all light bulbs can't light off 7 Evaluting sum $\sum \limits_{n=0}^\infty\frac{n^k}{n!}$ 6 Solve equation $\frac{1}{x}+\frac{1}{y}=\frac{2}{101}$ in naturals

### Tags (173)

 211 algebra-precalculus × 92 66 number-theory × 28 161 elementary-number-theory × 56 65 radicals × 14 121 calculus × 74 54 prime-numbers × 14 88 sequences-and-series × 50 51 integration × 23 72 limits × 47 50 real-analysis × 41

### Bookmarks (152)

 116 Is there an “inverted” dot product? 85 How to solve these two simultaneous “divisibilities” : $n+1\mid m^2+1$ and $m+1\mid n^2+1$ 85 Numbers $n$ such that the digit sum of $n^2$ is a square 71 Representing every positive rational number in the form of $(a^n+b^n)/(c^n+d^n)$ 50 Proving that a function is odd