On an Erdős--Kac-type conjecture of Elliott

Ofir Gorodetsky, Lasse Grimmelt

Elliott and Halberstam proved that ${\sum }_{p<n}{2}^{\omega (n-p)}$ is asymptotic to $\varphi (n)$. In analogy to the Erdős--Kac Theorem, Elliott conjectured that if one restricts the summation to…