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A005849 Prime Cullen numbers: numbers n such that n*2^n + 1 is prime.
(Formerly M5401)
+0
9
1, 141, 4713, 5795, 6611, 18496, 32292, 32469, 59656, 90825, 262419, 361275, 481899, 1354828 (list; graph; listen)
OFFSET

1,2

COMMENT

a(14)=1354828 from http://www.prothsearch.net/cullen.html - Mohammed Bouayoun (mohammed.bouayoun(AT)sanef.com), Apr 20 2006

REFERENCES

H. Dubner, Generalized Cullen numbers, J. Rec. Math., 21 (No. 3, 1989), 190-191.

P. Ribenboim, The Book of Prime Number Records. Springer-Verlag, NY, 2nd ed., 1989, p. 283.

LINKS

Ray Ballinger, Cullen Primes: Definition and Status

C. K. Caldwell, Cullen Primes

R. Ondrejka, The Top Ten: a Catalogue of Primal Configurations

Primegrid, Home Page

Primegrid, Concerning a(15)

Eric Weisstein's World of Mathematics, Cullen Number

Eric Weisstein's World of Mathematics, Integer Sequence Primes

CROSSREFS

Cf. A002064, A050920, A002234.

Sequence in context: A031892 A063373 A068046 this_sequence A066623 A066627 A087001

Adjacent sequences: A005846 A005847 A005848 this_sequence A005850 A005851 A005852

KEYWORD

hard,nonn,nice

AUTHOR

njas

EXTENSIONS

One more term from Mohammed Bouayoun (mohammed.bouayoun(AT)sanef.com), Apr 20 2006

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.

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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