Intereting Posts

Area of intersection between two circles
Convergence of $\sum_{n=2}^\infty \frac{1}{n^\alpha \ln^\beta (n)} $
Behaviour of asymptotically equivalent functions after iterative exponentiation
Is it possible to prove $g^{|G|}=e$ in all finite groups without talking about cosets?
Find plane by normal and instance point + distance between origin and plane
In Bayesian Statistic how do you usually find out what is the distribution of the unknown?
Interesting log sine integrals $\int_0^{\pi/3} \log^2 \left(2\sin \frac{x}{2} \right)dx= \frac{7\pi^3}{108}$
Does it make any sense to prove $0.999\ldots=1$?
How to prove the Squeeze Theorem for sequences
Why is Monotone Convergence Theorem restricted to a nonnegative function sequence?
Weak Convergence of Positive Part
Why does specifying an interval for a function make the function odd or even?
Slope of the tangent line, Calculus
If $dF_p$ is nonsingular, then $F(p)\in$ Int$N$
How is $\dfrac1{(1-x)^5}=\sum_{n\geq0}{n+4\choose4}x^n$

I am trying to prove:

$a\mid b \land b\mid c \Rightarrow a\mid c $

$a\mid b$ means that a divides b if there is an integer k, that $b=k\cdot a$

- Partitioning $\{1,\cdots,k\}$ into $p$ subsets with equal sums
- The locker problem - why squares?
- Distance between powers of 2 and 3
- Why is this sequence of functions not uniformly convergent?
- Direct proof that $n!$ divides $(n+1)(n+2)\cdots(2n)$
- Show that the curve $x^2+y^2-3=0$ has no rational points

Please give me a hint on how to start, because I have no idea.

- Nested Division in the Ceiling Function
- Algebraic independence over $\overline{\mathbb Q}$ and over $\mathbb Q$
- Show that the curve $x^2+y^2-3=0$ has no rational points
- Proving $\phi(m)|\phi(n)$ whenever $m|n$
- Showing that $n$ is pseudoprime to the base $a$
- Conjecture involving semi-prime numbers of the form $2^{x}-1$
- How to solve for any given natural number n?
- The sum of three consecutive cubes numbers produces 9 multiple
- Proof for gcd associative property:
- Fibonacci identity: $f_{n-1}f_{n+1} - f_{n}^2 = (-1)^n$

If $a | b$ and $b | c$, you have $b = ka$ and $c = jb$. Thus $c = (jk)a$. Hence $a | c$.

- Equivalence of $a \rightarrow b$ and $\lnot a \vee b$
- Show that if $\lim_{x\to a}f'(x) = A$ then $f'(a)$ exists and equals A
- Strictly convex sets
- Is it true that any metric on a finite set is the discrete metric?
- If $\sum{a_k}$ converges, then $\lim ka_k=0$.
- How find this $\lim_{n\to\infty}n^2\left(\frac{1^k+2^k+\cdots+n^k}{n^{k+1}}-\frac{1}{k+1}-\frac{1}{2n}\right)$
- How to approach proving $f^{-1}(B\setminus C)=A\setminus f^{-1}(C)$?
- Can anyone help me proving this with Mathematical induction?
- Simple module and homomorphisms
- Show that $x^2 + x + 12 = 3y^5$ has no integer solutions.
- Complex number calculation
- Expected area of the intersection of of triangles made up random points inside a circle, all the triangles must contain the origin
- A riddle about guessing hat colours (which is not among the commonly known ones)
- show that $\frac{a^2+b^2+c^2}{15}$ is non-square integer
- Is it necessarly abelian $2$ group?