Brightsen Model predicts next "magic neutron number" at N = 172, Z = 106, A=278 (Seaborgium-278).  According to the 1996 publication on the NCM by Mr. Brightsen (Publications), the next magic neutron number beyond the well known sequence ( N = 50, 82, 126...) is predicted to be found at an isotope of element # 106 (Seaborgium) with neutron number N = 172 (A = 278).  This is a fundamental prediction of the Brightsen NCM that is open to future falsification.  At this time (2/20/2005), Seaborgium-278 has yet to be isolated.  In the same publication, Mr. Brightsen presents the following information concerning A, N, and Z for the magic neutron number sequence (N = 20, 50, 82, 126, 172) as predicted by his Nucleon Cluster Model. 

One will note 100% correspondence of the Brightsen Mucleon Cluster Model for the neutron (N) series (50, 82, 126) with the predictions of the classical "shell model with Woods-Saxon well plus spin-orbit coupling" as presented on page 48, Figure 2.9, in the book by Dr. John S. Lilley (2001, Nuclear Physics Principles and Applications, Wiley & Sons).  The Brightsen NCM does not predict a neutron magic number at N = 28, which is predicted by the above cited Woods-Saxon shell model.  No reason for this difference between model predictions has been published by Mr. Brightsen comments are welcome:

Webmaster update: March 29, 2005.   Although Mr. Brightsen does not discuss his reason for not including N=28 as a "magic number", it is likely that he followed the argument presented by Linus Pauling on page 994, footnote 12, in his 1965 paper in Proc. Nat. Acad. Sci. 54(4) titled "The close-packed-spheron model of atomic nuclei and its relation to the shell model".  Mr. Brightsen and Dr. Pauling communicated with each other and shared ideas about nuclear structure (personal communication from Mr. Brightsen to Webmaster).  They both had a close association with the late Dr. Charles D. Coryell at MIT (e.g., Coryell was post-doc under Pauling at CalTech, Brightsen was graduate student of Coryell at MIT).   Here is the footnote statement by Linus Pauling concerning N = 28 --"The set of magic numbers is often considered to include 28.  The amount of extra stability at Z or N = 28 is, however, much less than at 2,8,20,50,82,126, and I have chosen to exclude it".  Thus, it is reasonable to conclude that Mr. Brightsen agreed with Pauling on this issue and excluded N=28 from his mass-charge symmetry calculations as discussed above.