For all bases b where b == (36 mod 37), algebraic factors on evenn combine with a numeric factor on oddn in the following scenario:
k=m^2 and m==(6 or 31 mod 37)
Factors to:
for evenn, let n=2q:
(m*b^q1)*(m*b^q+1)
and
oddn: factor of 37
Therefore, the above applies to bases 36, 73, 110, etc. for k=6^2, 31^2, 43^2, 68^2, etc.
This pattern of factors was brought to light by me initially missing these factors for the form 36*73^n1 and erroneously assuming that k=36 was still remaining after initial testing.
Gary
Last fiddled with by gd_barnes on 20081217 at 08:37
