This formula worked for the first few primes, but I definitely recall it failing for others. I wonder if there's a pattern or a specific reason for that.
I'm a bit confused by this one. The formula seems to be generating some prime numbers, but not others. I'll need to review my knowledge of prime numbers and see if I can figure out what's going on here. Maybe I'll start by trying some more values of n to see if I can spot a pattern.
Ah, I think I've got it! This is asking about Mersenne primes, which are primes of the form 2^n - 1. The formula given is correct for generating Mersenne primes, but it doesn't work for all prime numbers. I'll need to focus on the properties of Mersenne primes to answer this.
Okay, let me break this down step-by-step. The formula is M_n = 2^n - 1, where n is a prime number. It works for 2, 3, 5, and 7, but fails on 11 and other values. I'll need to investigate why that is and see if I can find a pattern.
Hmm, this looks like a tricky one. The formula seems to work for some prime numbers, but not others. I'll need to think carefully about the properties of Mersenne primes and how they relate to this formula.
Brendan
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