New posts in open-problem

Prove that $\lim_{n\rightarrow \infty} \frac{\log_{10}\lfloor\text{Denominator of } H_{10^n}\rfloor+1 }{10^n}=\log_{10} e$

limits conjectures open-problem harmonic-numbers

Is this really an open problem? Maximizing angle between $n$ vectors

geometry reference-request euclidean-geometry open-problem

Independence results that cannot be established by forcing.

logic soft-question set-theory model-theory open-problem

Does the list of "number of groups of order $n$" contain every natural number?

abstract-algebra group-theory finite-groups open-problem groups-enumeration

How can I solve this problem without having to do it by hand?

discrete-mathematics prime-numbers problem-solving computational-mathematics open-problem

Polynomials $f$ and $f'$ with all roots distinct integers

calculus real-analysis derivatives polynomials open-problem

The four runner problem/conjecture

number-theory reference-request conjectures open-problem

Favourite open problem?

big-list open-problem

$\tan (n) > n$ for infinitely many positive integers

trigonometry open-problem

If $N = q^k n^2$ is an odd perfect number and $n < q^{k+1}$, does it follow that $k > 1$?

elementary-number-theory solution-verification perfect-numbers open-problem

Thoughts on the Collatz conjecture; integers added to powers of 2

number-theory open-problem collatz-conjecture

Any proof to $\pi^{e}$'s irrationality?

number-theory reference-request irrational-numbers pi open-problem

Is $0.248163264128…$ a transcendental number?

number-theory reference-request decimal-expansion transcendental-numbers open-problem

What do mathematicians mean when they say some conjecture can’t be proven using the current technology?

axioms conjectures open-problem

What is wrong with the following proof that $\{ (\frac{3}{2})^n\mod 1: n\in\mathbb{N} \} $ is dense in $\ [0,1]\ $?

solution-verification open-problem equidistribution

Relationship between Primes and Fibonacci Sequence

number-theory prime-numbers divisibility fibonacci-numbers open-problem

Compute $S_n=\sum\limits_{a_1,a_2,\cdots,a_n=1}^\infty \frac{a_1a_2\cdots a_n}{(a_1+a_2+\cdots+a_n)!}$

combinatorics summation stirling-numbers open-problem bell-numbers

What does the Hodge conjecture mean?

algebraic-geometry algebraic-topology open-problem

How can we produce another geek clock with a different pair of numbers?

problem-solving open-problem natural-numbers

How many points can you find on $y=x^2$, for $x \geq 0$, such that each pair of points has rational distance?

geometry number-theory rational-numbers open-problem