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A004061 Numbers n such that (5^n - 1)/4 is prime.
(Formerly M2620)
+0
41
3, 7, 11, 13, 47, 127, 149, 181, 619, 929, 3407, 10949, 13241, 13873, 16519, 201359 (list; graph; listen)
OFFSET

1,1

REFERENCES

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

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

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

LINKS

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

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

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

H. Lifchitz, Mersenne and Fermat primes field

MATHEMATICA

lst={}; Do[If[PrimeQ[(5^n-1)/4], AppendTo[lst, n]], {n, 10^4}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 20 2008]

CROSSREFS

Sequence in context: A053728 A059055 A145670 this_sequence A000572 A059568 A003512

Adjacent sequences: A004058 A004059 A004060 this_sequence A004062 A004063 A004064

KEYWORD

hard,nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

3 more terms from Kamil Duszenko (kdusz(AT)wp.pl), Mar 25 2003

a(16)=201359 is a probable prime based on trial factoring to 4e13 and Fermat primality testing base 2. Paul Bourdelais (paul.bourdelais(AT)gd-ais.com), Dec 11 2008

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.


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