New posts in Conjectures

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

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

Collatz Conjecture (3n+1) variant

How to show an infinite number of algebraic numbers $\alpha$ and $\beta$ for $_2F_1\left(\frac13,\frac13;\frac56;-\alpha\right)=\beta\,$?

What is the role of conjectures in modern mathematics?

Complete monotonicity of a sequence related to tetration

Is any mathematican more famous for their conjecture(s) than their theorem(s)?

Simplified variant of Collatz conjecture.

A condition for being a prime: $\;\forall m,n\in\mathbb Z^+\!:\,p=m+n\implies \gcd(m,n)=1$

A conjecture about the prime function $p_n$: $p_m \cdot p_n >p_{m \cdot n}$