Sharky Kesa

 9 Is $29$ the only prime of the form $p^p+2$? 6 Diophantine equation $x^3+x+a^2=y^2$ 6 If $x=8+3\sqrt{7},$ then what is value of $\sqrt{x} -\frac{1}{\sqrt{x}}$? 4 How can I have $10$ to $99$ evaluate to $1$, $100$ to $999$ evaluate to $10$, and so on? 4 Drawing a tangent to a circle at a given point in just 3 ruler-and-compass constructions

### Reputation (1,330)

 +85 Prove that $LB = LC$. +30 How to solve $\int\frac{\cos(2x)}{\cos x-\sin x}dx$? +10 Calculus Made Easy Exercises IX Question 8(a): maximize volume of cylinder inscribed in a cone +10 Show that $3^{7^n}+5^{7^n}\equiv 1 \pmod{7^{n+1}}$

### Questions (7)

 6 Problem relating to primes and sequences 4 Strange Set conditions 2 Given a set $\mathcal{S}$ of $n$ points in a Jordan Curve, what is the expected number of sides that the convex hull of $\mathcal{S}$ has? 1 Simplification of $\sum \limits_{a=0}^{m} \sum \limits_{b=0}^{n} x^{|a-b|}$ 1 Which conditions are sufficient to prove a transformation in $\mathbb{R}^2$ is affine?

### Tags (62)

 21 elementary-number-theory × 8 9 geometry × 14 14 number-theory × 8 9 prime-numbers × 2 13 calculus × 7 9 conjectures 10 diophantine-equations × 2 7 radicals × 2 10 algebra-precalculus × 2 6 elliptic-curves