Not a Mersenne prime, but what is it?

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Hi folks:

This is an amateur question regarding Mersenne Primes. I understand they are of the form 2^n - 1. I have always stored that away in my mind as "one off" from a power of 2. But the number 17 doesn't fit that idea, since it is 17 = 2^4 + 1. It is one-off from a power of 2, but the 1 is added instead of subtracted. Is there a name for these other kind of primes?

Paul
 

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