[seqfan] The two square composite sequence.
DAN_CYN_J
dan_cyn_j at comcast.net
Sun Sep 1 23:10:15 CEST 2013
The two squares associated with each semi-prime composite.
The rules for the simi-prime composite is no composite
will be a 0(mod 3 or 5)
Each of it's two factors will be of equal length or 1 digit
less like 7*11 =77 is the first composite in the 3rd index of
the sequence. The two previous index are just the two squares
that is the solution to the composites two factors.
So every third term is a composite and the two previous terms are
it's associated squares as solutions.
Which is the solution to x^2 - c = y^2 where c = a semi-prime composite
and is known as the Fermat factoring method.
The sequence begins --
4,81,77,9,100,91,25,144,119,36,169,133,1,144,143,64,225,161,9,196,187,121,324,203...
Dan
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