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Old 2008-12-19, 20:19   #4
gd_barnes's Avatar
May 2007
Kansas; USA

2·5,087 Posts

After looking at some testing done by Chris, I've added another factor to the above pattern that holds with what has already been outlined in this thread as follows:

For all bases b where b == (52 mod 53), algebraic factors on even-n combine with a numeric factor on odd-n in the following scenario:

k=m^2 and m==(23 or 30 mod 53)

Factors to:

for even-n, let n=2q:
odd-n: factor of 53

Therefore, the above applies to bases 52, 105, 158, etc. for k=23^2, 30^2, 76^2, 83^2, etc.

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