20031211, 19:16  #1 
Dec 2003
3 Posts 
prime number formula
The result of 2, raised to the power of a prime number, less 1 equals another prime number.
There is always one larger. 
20031211, 19:32  #2 
Aug 2002
2^{2}·5·13 Posts 
Not absolutely correct. The vast majority of them do not generate prime numbers. That is why we have found only 40 of them so far, even though we have been at it for a fairly long time....
PM 
20031211, 19:36  #3 
Aug 2002
8,461 Posts 
11 is prime...
2^{11}1 = 2047 2047 = 23 × 89 
20031211, 19:52  #4 
Dec 2003
3 Posts 
prime number formula
http://www.utm.edu/research/primes/l...mall/10000.txt
there are over 10,000 primes. pi(x) = the number of primes less than or equal to x. There are only 39 known Mersenne primes ... http://www.pen.k12.va.us/Div/Winches...cts/prime.html However, even that appears to follow the aforemetioned formula. 
20031211, 19:56  #5 
Dec 2003
3 Posts 
11 good catch
true.

20031211, 19:58  #6 
Aug 2002
2^{2}·5·13 Posts 
The Mersenne primes follow the 2^{P}1 where P is a prime.
The GIMPS project is more or less systematically testing primes to see if they will generate a new Mersenne prime. PM 
20031211, 20:21  #7 
13·173 Posts 
Thanks.
Thanks.

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