Search: id:A005849
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%I A005849 M5401
%S A005849 1,141,4713,5795,6611,18496,32292,32469,59656,90825,262419,361275,
%T A005849 481899,1354828,6328548
%N A005849 Prime Cullen numbers: numbers n such that n*2^n + 1 is prime.
%D A005849 J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 141, p. 48, Ellipses, 
               Paris 2008.
%D A005849 H. Dubner, Generalized Cullen numbers, J. Rec. Math., 21 (No. 3, 1989), 
               190-191.
%D A005849 P. Ribenboim, The Book of Prime Number Records. Springer-Verlag, NY, 
               2nd ed., 1989, p. 283.
%D A005849 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A005849 Ray Ballinger, <a href="http://www.prothsearch.net/cullen.html">Cullen 
               Primes: Definition and Status</a>
%H A005849 C. K. Caldwell, <a href="http://www.utm.edu/research/primes/lists/top20/
               Cullen.html">Cullen Primes</a>
%H A005849 R. Ondrejka, <a href="http://www.utm.edu/research/primes/lists/top_ten/
               ">The Top Ten: a Catalogue of Primal Configurations</a>
%H A005849 Primegrid, <a href="http://www.primegrid.com">Home Page</a>
%H A005849 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               CullenNumber.html">Cullen Number</a>
%H A005849 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               IntegerSequencePrimes.html">Integer Sequence Primes</a>
%t A005849 lst={};Do[If[PrimeQ[n*2^n+1], Print[n];AppendTo[lst, n]], {n, 10^9}];
               lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 21 2008]
%Y A005849 Cf. A002064, A050920, A002234.
%Y A005849 Sequence in context: A063373 A145192 A068046 this_sequence A066623 A164525 
               A153358
%Y A005849 Adjacent sequences: A005846 A005847 A005848 this_sequence A005850 A005851 
               A005852
%K A005849 hard,nonn,nice
%O A005849 1,2
%A A005849 N. J. A. Sloane (njas(AT)research.att.com).
%E A005849 a(14)=1354828 from http://www.prothsearch.net/cullen.html - Mohammed 
               Bouayoun (mohammed.bouayoun(AT)sanef.com), Apr 20 2006
%E A005849 The term 1467763 was added in error and has now been deleted. Jens Kruse 
               Andersen (jens.k.a(AT)get2net.dk), Nov 28 2007, remarks that 1467763*2^1467763-1 
               is a Woodall prime, but 3 divides the Cullen number 1467763*2^1467763+1.
%E A005849 6328548 from John Blazek, May 14 2009. He later reports that the search 
               of the range from 6300000 to 6328548 was completed on May 28 2009.

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