### Questions (401)

 30 Integral $\int_1^\infty\frac{dx}{1+2^x+3^x}$ 19 How to rewrite $7-\sqrt 5$ in root form without a minus sign? 18 Is there an integral for $\frac{1}{\zeta(3)}$? 18 About the addition formula $f(x+y) = f(x)g(y)+f(y)g(x)$ 18 What is the value of $\sum\limits_{i=1}^\infty\frac{1}{p_{p_i}}$ where $p_{i}$ is the $i$th prime?

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 +5 Confused about Pochhammer contour? +5 Use for $\zeta’’(s)$ in number theory? +5 Why is every positive integer the sum of 3 triangular numbers? +5 How to show that the fabius function is nowhere analytic?

### Answers (52)

 8 Integral $\int_1^\infty\frac{\operatorname{arccot}\left(1+\frac{2\pi}{\operatorname{arcoth}x-\operatorname{arccsc}x}\right)}{\sqrt{x^2-1}}\mathrm dx$ 5 The Diophantine equation $x^2 + 2 = y^3$ 5 Prove or disprove that all primes except $2$ and $3$ can be expressed in the form $6n\pm1$ which $n\in\mathbb{N}$. 3 Sine and Cosine equation ( diophantine ) 2 A limit related to super-root (tetration inverse).

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