Chromatic number of associahedron ★★

Author(s): Fabila-Monroy; Flores-Penaloza; Huemer; Hurtado; Urrutia; Wood

\begin{conjecture} Associahedra have unbounded chromatic number. \end{conjecture}

Keywords: associahedron, graph colouring, chromatic number

Are there infinite number of Mersenne Primes? ★★★★

Author(s):

\begin{conjecture} A Mersenne prime is a Mersenne number \[ M_n = 2^p - 1 \] that is prime.

Are there infinite number of Mersenne Primes? \end{conjecture}

Keywords: Mersenne number; Mersenne prime