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A005808 Numbers n such that (11^n - 1)/10 is prime.
(Formerly M5032)
18
17, 19, 73, 139, 907, 1907, 2029, 4801, 5153, 10867, 20161, 293831 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

J. Brillhart et al., Factorizations of b^n +- 1. Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 2nd edition, 1985; and later supplements.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=1..12.

J. Brillhart et al., Factorizations of b^n +- 1, Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 3rd edition, 2002.

H. Dubner, Generalized repunit primes, Math. Comp., 61 (1993), 927-930.

H. Dubner, Generalized repunit primes, Math. Comp., 61 (1993), 927-930. [Annotated scanned copy]

H. Lifchitz, Mersenne and Fermat primes field

Henri & Renaud Lifchitz, PRP Records.

S. S. Wagstaff, Jr., The Cunningham Project

Eric Weisstein's World of Mathematics, Repunit.

Index to primes in various ranges, form ((k+1)^n-1)/k

MATHEMATICA

lst={}; Do[If[PrimeQ[(11^n-1)/10], Print[n]; AppendTo[lst, n]], {n, 10^5}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 21 2008 *)

PROG

(PARI) is(n)=ispseudoprime((11^n-1)/10) \\ Charles R Greathouse IV, Apr 29 2015

CROSSREFS

Sequence in context: A119768 A232878 A226681 * A180559 A272478 A028489

Adjacent sequences:  A005805 A005806 A005807 * A005809 A005810 A005811

KEYWORD

hard,nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

a(11) = 20161 was found by Kamil Duszenko on Aug 15 2003. - Alexander Adamchuk, Feb 11 2007

a(12) = 293831 corresponds to a probable prime discovered by Paul Bourdelais with PFGW v3.3.1, Mar 08 2010

STATUS

approved

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Last modified May 24 11:23 EDT 2019. Contains 323529 sequences. (Running on oeis4.)