If we could reach the http://en.wikipedia.org/wiki/Island_of_stability we might get some very interesting materials.
But I bumped you back up since I don't think your comment deserves a zero.
But the nucleus has it's own shells, and those are the ones that need to be filled for it to be stable.
However not as much is known about the nucleus shells, how many in each level, etc. Read here: http://en.wikipedia.org/wiki/Nuclear_shell_model