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 2010-08-14, 17:26 #1 Unregistered   E3016 Posts Definition of Merssene number Does the definition of Merssene number( 2^n-1) requires that n must be prime ?
 2010-08-14, 18:49 #2 CRGreathouse     Aug 2006 22×3×499 Posts Both definitions, unfortunately, are in use. The more common one requires that the exponent is prime. http://oeis.org/classic/A001348 http://oeis.org/classic/A000225
 2010-08-15, 11:04 #3 ATH Einyen     Dec 2003 Denmark 3·1,151 Posts Mathworld uses 2n-1 where n is integer: http://mathworld.wolfram.com/MersenneNumber.html Maybe OP wonders why GIMPS searches only prime exponents, its because 2n-1 can only be prime when n is prime: http://primes.utm.edu/notes/proofs/Theorem2.html Last fiddled with by ATH on 2010-08-15 at 11:13
 2010-08-15, 14:45 #4 science_man_88     "Forget I exist" Jul 2009 Dartmouth NS 205038 Posts No definitions were found for merssene number. Google lol.
2010-08-15, 16:40   #5
CRGreathouse

Aug 2006

176416 Posts

Quote:
 Originally Posted by science_man_88 No definitions were found for merssene number. Google lol.
Really? I get
Quote:
 In mathematics, a Mersenne number, named after Marin Mersenne, is a positive integer that is one less than a power of two: Some definitions of Mersenne numbers require that the exponent p be prime. en.wikipedia.org/wiki/Mersenne_Number

2010-08-15, 20:07   #6
TimSorbet
Account Deleted

"Tim Sorbera"
Aug 2006
San Antonio, TX USA

11·389 Posts

Quote:
 Originally Posted by CRGreathouse Really? I get http://www.google.com/search?q=define:Mersenne+number
Perhaps he tried to get the definition of "merssene number" instead of "mersenne number". "No definitions were found for merssene number." is very true.

Last fiddled with by TimSorbet on 2010-08-15 at 20:08

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