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#91071 01/07/03 05:52 PM
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The Mersenne primes are of the form 2^p-1, where p is prime. See http://www.mersenne.org/prime.htm and http://www.utm.edu/research/primes/mersenne/.


#91072 01/07/03 05:55 PM
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the previous ones are the Fermat primes, indeed of this kind(2^(2^n))+1
The problem is that , given n, it is not known usually if the corresponding Fermat number is prime (usually not)

The Mersenne primes are
2^n - 1 ( I was not aware that this way of writing was almost universally understood) - when they are prime themselves.

n has to be prime indeed (Faldage, you were right) because if n = ab, then the above number cannot be prime
In that case, you could write
(2^a)^b - 1^b =

[2^a - 1 ] times { something else}



#91073 01/07/03 06:00 PM
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almost universally understood

The ^ is a common operator for exponentiation in computer languages such as BASIC.


#91074 01/07/03 06:05 PM
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I know, of course, but I didn't assume that this knowledge is spread around...


#91075 01/07/03 06:16 PM
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If it's any consolation, Emanuela, I certainly didn't know!


#91076 01/07/03 06:21 PM
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spread around

Perhaps "scattered around" would be a better phrase. That is, it's widely known but not by that many people.


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