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378 Answers

newest activity votes
51
Intervals that are free of primes
27
Best Fake Proofs? (A M.SE April Fools Day collection)
24
A finite summation involving $2013$
14
The value of $(2^n+3^n+4^n)^{1/n}$ as $n \rightarrow \infty?$
14
$\left( \begin{array}{cc} 1 & 1 \\ 0 & 1 \\ \end{array} \right)$ not diagonalizable
10
Prove that if $a, b, c$ are positive odd integers, then $b^2 - 4ac$ cannot be a perfect square.
10
Why is $f:\mathbb{R} \to S^1, f(t)=(2\pi \cos(t), 2\pi \sin(t))$ not closed?
9
Hard Telescoping Series
9
Let $T:V→V$ be a linear transformation satisfying $T^2(v)=-v$ for all $v\in V$. How can we show that $n$ is even?
8
Generalized mean value theorem
8
What is the remainder when $x^{100} -8x^{99}+12x^{98}-3x^{10}+24x^{9}-36x^{8}+3x^{2}-29x + 41$ is divided by: $x^2-8x+12$.
8
Vector spaces inquiry
8
explain why $a^{\frac{p-1}{2}}\equiv 1 \pmod{p}$.
7
Polynomials with integer coefficients
7
Finding $n$ such that $x_n$ is a prime number
7
Finding zeroes of given function
7
Prove that between two roots of $f(x)$ there is a root of $g(x)$
7
prove $\sqrt{a_n b_n}$ and $\frac{1}{2}(a_n+b_n)$ have same limit
7
Proving A is Invertible if $A + A^2 = I$
7
Slight modification of a well known limit
6
Compact space and Hausdorff space
6
Irreducibility of an infinite sequence of polynomials
6
$A\in M_n(\mathbb{Q})$ satisfy $A^5=I$, and 1 isn't an eigenvalue.
6
how to show $f(1/n)$ is convergent?
6
What's wrong with $\sum_{i=0}^{\infty}x^i = \frac{1}{1-x}$
6
Prove 24 divides $u^3-u$ for all odd natural numbers $u$
6
Crazy induction
5
Checking if the function is continuous
5
Calculating the integral $ \int_{0}^{5} { \frac{|x-1|}{|x-2| + |x-4|} } dx$
5
Show that $\lim(\frac 1 n-\frac 1 {n+1})=0$ using epsilon-delta definition.
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