In the course of extending the obtained regularities of lattice packings corresponding to layered lattices of the “Lambda” series in dimensions 1–24 to groups of higher dimensions, a hypothesis was formulated about the density function of the densest lattice packing of equal spheres in n−dimensional Euclidean space. The hypothesis can be used as an approximate method for solving the problem of lattice packing of equal spheres in n−dimensional Euclidean space.