In a previous work [O. Ciftja, Physica B 404 (2009) 227] we reported the exact calculation of energies for the fractional quantum Hall Laughlin state at filling factor ν = frac(1, 3) for systems with up to N = 4 electrons in a disk geometry. The purpose of this brief extension of the earlier work is to report similar exact results for the other Laughlin state at filling factor ν = frac(1, 5). We use the same method of orthogonal Jacobi variables adopted in the earlier work. © 2009 Elsevier B.V. All rights reserved.