Newbetuts

On $\int_0^1\arctan\,_6F_5\left(\frac17,\frac27,\frac37,\frac47,\frac57,\frac67;\,\frac26,\frac36,\frac46,\frac56,\frac76;\frac{n}{6^6}\,x\right)\,dx$

Isoperimetric inequality, isodiametric inequality, hyperplane conjecture... what are the inequalities of this kind known or conjectured?

Conjectured closed form for $\operatorname{Li}_2\!\left(\sqrt{2-\sqrt3}\cdot e^{i\pi/12}\right)$

conjectured new generating function of fibonacci numbers

Why does one counterexample disprove a conjecture?

Interesting Property of Numbers in English

How to propose a conjecture

Sums of integer powers similar to Prouhet–Tarry–Escott problem

When $p$ is an odd prime, is $(p+2)/p$ an outlaw or an index?

If $N = q^k n^2$ is an odd perfect number with special prime $q$, then can $N$ be of the form $q^k \cdot (\sigma(q^k)/2) \cdot {n}$?

Complete monotonicity of a sequence related to tetration

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

Collatz Conjecture (3n+1) variant

Are all totient values of Fibonacci Numbers distinct?

New posts in conjectures

A $\frac{1}{3}$ Conjecture?

Continued fraction for Apéry's constant conjectured by The Ramanujan Machine

the ratio of jacobi theta functions and a new conjectured q-continued fraction

A limit related to asymptotic growth of tetration

An explanation for undergraduated students about why the Jacobian conjecture is hard

Conjectures Disproven by the use of Computers?

On $\int_0^1\arctan\,_6F_5\left(\frac17,\frac27,\frac37,\frac47,\frac57,\frac67;\,\frac26,\frac36,\frac46,\frac56,\frac76;\frac{n}{6^6}\,x\right)\,dx$

Isoperimetric inequality, isodiametric inequality, hyperplane conjecture... what are the inequalities of this kind known or conjectured?

Conjectured closed form for $\operatorname{Li}_2\!\left(\sqrt{2-\sqrt3}\cdot e^{i\pi/12}\right)$

conjectured new generating function of fibonacci numbers

Why does one counterexample disprove a conjecture?

Interesting Property of Numbers in English

How to propose a conjecture

Sums of integer powers similar to Prouhet–Tarry–Escott problem

When $p$ is an odd prime, is $(p+2)/p$ an outlaw or an index?

If $N = q^k n^2$ is an odd perfect number with special prime $q$, then can $N$ be of the form $q^k \cdot (\sigma(q^k)/2) \cdot {n}$?

Complete monotonicity of a sequence related to tetration

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

Collatz Conjecture (3n+1) variant

Are all totient values of Fibonacci Numbers distinct?