Mathematics
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Ian Mateus
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102 Answers

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34
Why does the series $\sum_{n=1}^\infty\frac1n$ not converge?
Dec 27 '13 at 14:49
21
Is $\sqrt[3]{p+q\sqrt{3}}+\sqrt[3]{p-q\sqrt{3}}=n$, $(p,q,n)\in\mathbb{N} ^3$ solvable?
Apr 27 '13 at 22:57
16
Is this of any real importance to the mathematical scientific community?
Dec 30 '13 at 20:32
15
How can I find the fifth root of unity?
Dec 11 '13 at 22:23
15
Find all positive integers $n$ s.t. $3^n + 5^n$ is divisible by $n^2 - 1$
Dec 27 '13 at 2:17
13
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
Jan 27 '14 at 23:18
13
Solve $x^2 + 8 = 3^n$, where $x\in\mathbb N$.
Dec 16 '13 at 14:35
11
Showing that $\sum_{i=1}^n \frac{1}{i} \geq \log{n}$
Mar 6 '14 at 0:35
10
Sum : $\sum_{n=0}^\infty \frac{(-1)^n}{(2n+1)^3}$
Apr 12 '13 at 18:53
8
Explaining Hypercomplex numbers to Children.
Nov 16 '13 at 15:47
7
Intuition for the definition of the Gamma function?
Feb 21 '14 at 22:59
6
How to solve $\sin x +\cos x = 1$?
Dec 25 '13 at 18:22
6
Evaluating $\sum_{k=1}^{\infty}\frac{\sin\left(k\theta\right)}{k^{2u+1}}$ with multiple integrals
Jan 16 '13 at 22:21
5
How to divide a $4\times 4$ square in six pieces to show that from any seven points in the square, there are two at most $\sqrt 5$ apart?
Sep 6 '14 at 16:03
5
On a strange pigeonhole principle problem
Aug 2 '14 at 14:16
5
Find the $4$ sq. roots of $100$ in $ U_{209}$. Identify which square root of $100$ is square.
Jul 28 '14 at 3:25
5
The Cauchy-Schwarz Master Class, Problem $1.2$
Dec 19 '13 at 22:28
5
Mixed number fractions vs regular fractions? $3\frac{1}{6}-1\frac{11}{12}$
Dec 17 '13 at 0:43
5
Solving $ \sin x + \sqrt 3 \cos x = 1 $ - is my solution correct?
Sep 23 '12 at 22:50
4
Differentiable $N$ times, $f'(x_{0})=\cdots=f^{(N-1)}(x_0)=0$, $f^{(N)}(x_0)>0\implies f$ increasing on $x_0$?
Mar 3 '15 at 14:03
4
If $3^x$ and $5^x$ are both integers, is $x$ an integer?
Jan 21 '15 at 1:23
4
Conjecture about the powers of 2 in the prime factorizations of the series $a_n = n(n+1)(n+2)$
Nov 29 '14 at 1:00
4
Finding the minimum distance from the origin to the surface $xyz^2=2$
Aug 11 '14 at 19:24
4
Can someone show me a proof of the general solution for 2nd order homogenous linear differential equations?
Oct 14 '12 at 16:36
4
Is it possible to have a quadratic equation having only one complex root? If so, what would a picture of it look like?
Dec 5 '13 at 0:26
4
Trigonometric near-identity
Jun 23 '13 at 0:35
4
Creating an equation from this triangle.
Jan 25 '13 at 3:42
3
For what integer values of $m$ and $n$ is $\frac{4m-n}{n}$ a rational square?
Aug 4 '14 at 18:09
3
Reversing $\sum_0^kx\cdot2^i$
Apr 6 '14 at 0:39
3
Series equivalent to differences of inverse primes?
Jan 27 '14 at 15:11
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