chubakueno
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 15 Prove that there are exactly 16 solutions to this problem. 14 Algorithm to get the maximum size of n squares that fit into a rectangle with a given width and height 14 Show the identity $\frac{a-b}{a+b}+\frac{b-c}{b+c}+\frac{c-a}{c+a}=-\frac{a-b}{a+b}\cdot\frac{b-c}{b+c}\cdot\frac{c-a}{c+a}$ 13 Three consecutive integers which are power of prime but not prime 12 What is the most surprising result that you have personally discovered?

### Reputation (3,730)

 +5 Generating functions and central binomial coefficient +10 Sum of Prime Factors - TopCoder +10 Algorithm to get the maximum size of n squares that fit into a rectangle with a given width and height +5 Trigonometry or inequality problem

### Questions (64)

 22 2013 USAMO problem 5 15 Proving that $\frac{n!-1}{2n+7}$ is not an integer when $n>8$ 11 Sums of rising factorial powers [duplicate] 10 Olympiad number theory problem 9 If $a+b+c=1$, find the minimum of $\frac{4+3abc}{ab+bc+ac}$

### Tags (79)

 66 elementary-number-theory × 32 17 diophantine-equations × 3 38 algebra-precalculus × 34 17 fractions × 2 36 number-theory × 12 16 algorithms × 8 23 contest-math × 11 14 algebraic-identities 23 geometry × 8 14 tiling

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 Mathematics 3,730 rep 1934 Stack Overflow 290 rep 212 Programming Puzzles & Code Golf 241 rep 36 Biology 178 rep 5 Computer Science 161 rep 4