Hi,
    I was wondering if we could be looser in the definition of mersenne
numbers allowing it also to be defined as (-2)^n-1 for n >=2 and n a
natural number and n odd.
    For example using +/-2 and n=3 yields 2^3-1=7 a mersenne prime.
     abs[(-2)^3-1]=9=3^2 which would make the alternative definition of
mersenne numbers (looser definition ) not square free!
What does this suggest to you?
Regards,
Allan Menezes

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