Let n be the number that trails the student's net ID.
Thus, for hypothetical student ms65535, n=65535.
Let p be n modulus s, where s is the original number
of students in the REU. In summer 1999, s=13.
For example, for ms65535, p=65535%13 = 2.
If there exists an integer q so that p == 2^q,
then fate does not smile on thee. Else, if
p is not a power of two, things portend well.
If p=1, we believe that since (-1)^2 = (1)^2 = 1,
then prediction becomes harder.