Let's say we are given the numbers 2, 2^2, 2^(2^2), 2^(2^(2^2)), and so on. Would all these numbers plus one be a prime number? (So far I see that 2^(2^(2*2)) or 2^16 works, but sadly 2^65536 is a little harder)
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Let's say we are given the numbers 2, 2^2, 2^(2^2), 2^(2^(2^2)), and so on. Would all these numbers plus one be a prime number? (So far I see that 2^(2^(2*2)) or 2^16 works, but sadly 2^65536 is a little harder)
No, they are all not primes.
i.eis not prime.
But, Mersenne primes have the form
, where p is prime.
See here:
The UCLA Mersenne Prime
Um... it's 'plus' one and not minus one... but then, I don't know...
Wolfram alpha gave the digit as a 19729 digit number :eek:
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