Ian Mateus
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 16 Is this of any real importance to the mathematical scientific community? 16 Is $\sqrt[3]{p+q\sqrt{3}}+\sqrt[3]{p-q\sqrt{3}}=n$, $(p,q,n)\in\mathbb{N} ^3$ solvable? 14 Find all positive integers $n$ s.t. $3^n + 5^n$ is divisible by $n^2 - 1$ 13 Solve $x^2 + 8 = 3^n$, where $x\in\mathbb N$. 12 How to either prove or disprove if it is possible to arrange a series of numbers such the sum of any two adjacent number adds up to a prime number

### Reputation (3,860)

 +15 Does a “cubic” matrix exist? +5 A probabilistic integral $\int_{-\infty}^{\infty}e^{-x^2/2\sigma^2}\arcsin\left(1-2\left|\lfloor x\rceil-x\right|\right)\,dx$ +10 Finding $y$ so that $y^2 + x^2 \equiv 1 (\mod x + y)$ +10 How can I find $\sum\limits_{n=i+1}^\infty \binom{n-1}{i}\left (\frac{1}{3}\right)^{n}$?

### Questions (26)

 103 Does a “cubic” matrix exist? 35 Is there any geometric way to characterize $e$? 20 Mystery about $\sum_{n\geqslant 1}2^{-n!}$ 17 Rigorous proof that $\displaystyle\frac{1}{3} = 0.333\ldots$ 16 Evaluating $\sum_{k=1}^{\infty}\frac{\sin\left(k\theta\right)}{k^{2u+1}}$ with multiple integrals

### Tags (90)

 45 calculus × 18 24 sequences-and-series × 15 36 algebra-precalculus × 16 20 summation × 10 29 diophantine-equations × 2 17 harmonic-numbers × 2 27 elementary-number-theory × 11 15 inequality × 3 26 number-theory × 12 14 trigonometry × 6

### Accounts (7)

 Mathematics 3,860 rep 21748 Area 51 201 rep 4 Portuguese Language 181 rep 3 Biology 138 rep 14 MathOverflow 101 rep 1
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