Nadirashvili’s conjecture states that a non-constant harmonic function in the three-dimensional Euclidean space has a zero set of infinite area. The recent proof (2018) of Nadirashvili’s conjecture implied the lower bound in Yau’s conjecture for zero sets of Laplace eigenfunctions. We will discuss an open folklore conjecture relating the growth of harmonic functions and the area of their zero sets and its applications.