all,
>I think we should check the math first. I have a sneaky suspicion that looping
>won't occur in the relevant region (the first 2^n-3 iterations) unless n is 
>composite - which may be interesting, but doesn't help us eliminate Mersenne
>numbers as candidate primes. But my math is inadequate to prove this 8-(

I think that you mean n-2 iterations, but you may be right.  It's hard to
say, without any evidence, or solid math.

Just a side note, but all l_n values are 2 after n-1 iterations on a mersenne
prime.  Maybe lends some small bit of evidence against that...
-Lucas 
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