New posts in Conjectures

Can composition of integer polynomial and rational polynomial with a non-integer coefficient result in integer polynomial?

Does the fraction of distinct substrings in prefixes of the Thue–Morse sequence of length $2^n$ tend to $73/96$?

Conjectured continued fraction formula for Catalan's constant

Why did the Egyptians not represent $2/3$ as a sum of unit fractions in the Rhind papyrus?

On expressing $\frac{\pi^n}{4\cdot 3^{n-1}}$ as a continued fraction.

Conjectured summation inequality

Prove that $\sum_{i=1}^n\frac{x_i}{\sqrt[nr]{x_i^{nr}+(n^{nr}-1)\prod_{j=1}^nx^r_j}} \ge 1$ for all $x_i>0$ and $r \geq \frac{1}{n}$.

Conjecture: smallest missing mod value always yields previous prime

Some lesser known open problems/ conjectures in number theory

Conjecture $\sum_{n=0}^\infty a_n= \frac{1}{2}-\frac{7 \zeta(3)}{2 \pi^2}$