The work is related to the problem by P. Erdo{double acute}s about the estimation of the numbers, where {pipe}zj{pipe} = 1, as N→∞. We shall deal with the case where the z _j are all possible roots of the unity ordered in such a way that all the roots of degree n follow the roots of degree n-1. Within the group of roots of degree n, the enumeration can vary. We prove that ln A _N grows like √N, and we get estimates of possible values of the lower limit of the ratio (ln A _N/√N as well as exact bounds of the upper limit of this ratio.