I have stored the idea for what I call a "disconnected" conclusion for
the fact that M(2^127-1) is composite.
Just go to yahoo groups and type in "primeplausibles" to find it.
a conclusive pattern follows for...
M(2) = (prime), M(2^3-1) = (prime), M(2^7-1) = (prime) but fails when M
(2^127-1) is encountered!
This side-by-side pattern becomes disconnected when the next number ex-
plored, which by the way has 10^38 digits.
agian the conclusive pattern becomes disconnected when the next double
Mersenne number is encountered, so I believe that it's composite.