Search: id:A016027
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%I A016027
%S A016027 1,2,3,4,6,7,8,11,18,24,28,31,98,111,207,328,339,455,583,602,1196,1226,
%T A016027 1357,2254,2435,2591,4624,8384,10489,12331,19292,60745,68301,97017,
%U A016027 106991,215208,218239,474908,877615
%N A016027 Indices of prime Mersenne numbers (A001348).
%C A016027 The following are also members of the sequence: 1329726, 1509263, 1622441 
               & 1881339. - Robert G. Wilson v Mar 20 2006
%C A016027 2007537 is also in this sequence - Artur Jasinski (grafix(AT)csl.pl), 
               Apr 22 2008
%D A016027 Author?, Title?, Mathematics Magazine, vol. 71, no. 5, page 337, Dec. 
               1998.
%D A016027 R. K. Guy, Unsolved Problems in Number Theory, 3rd ed., Springer-Verlag, 
               NY, 2004, Sec. A3.
%D A016027 G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 
               3rd ed., Oxford Univ. Press, 1954, p. 16.
%D A016027 P. Ribenboim, The New Book of Prime Number Records, Springer-Verlag, 
               NY, 1996, Chap. 2, Sec. VII.
%H A016027 C. K. Caldwell, <a href="http://www.utm.edu/research/primes/mersenne/
               index.html">Mersenne Primes</a>
%H A016027 Will Edgington, <a href="http://www.garlic.com/~wedgingt/primeM.txt">
               List of Mersenne primes</a>
%H A016027 Great Internet Mersenne Prime Search (GIMPS), <a href="http://www.mersenne.org/
               ">Distributed Computing Projects</a>
%H A016027 Andrew R. Booker, <a href="http://primes.utm.edu/nthprime/">The Nth Prime 
               Page</a>
%F A016027 Pi(A000043).
%e A016027 The first four Mersenne numbers 2^2 - 1 = 3, 2^3 - 1 = 7, 2^5 - 1 = 31 
               and 2^7 - 1 = 127 are prime, so 1, 2, 3, 4 are members. But the fifth 
               Mersenne number 2^11 - 1 = 2047 = 23*89 is composite, so 5 is not 
               a member.
%t A016027 a = {}; Do[If[PrimeQ[2^Prime[n] - 1], AppendTo[a, n]], {n, 1, 100}]; 
               a (*Artur Jasinski*)
%Y A016027 Cf. A000043, A001348.
%Y A016027 See also A059305 Pi(n-th Mersenne prime).
%Y A016027 Sequence in context: A102826 A163866 A027206 this_sequence A032900 A166935 
               A114391
%Y A016027 Adjacent sequences: A016024 A016025 A016026 this_sequence A016028 A016029 
               A016030
%K A016027 nonn,nice,hard
%O A016027 1,2
%A A016027 Robert G. Wilson v (rgwv(AT)rgwv.com)
%E A016027 Corrected by Vasiliy Danilov (danilovv(AT)usa.net) Jun 15 1998. Further 
               corrections from Reto Keiser (rkeiser(AT)stud.ee.ethz.ch), Jan 10, 
               2001.
%E A016027 a(39) from Robert G. Wilson v (rgwv(at)rgwv.com), Mar 20 2006

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