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Search: id:A057171
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| A057171 |
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Numbers n such that (5^n+1)/6 is a prime. |
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+0
22
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| 5, 67, 101, 103, 229, 347, 4013, 23297, 30133, 177337, 193939
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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J. Brillhart et al., Factorizations of b^n +- 1, Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 3rd edition, 2002.
H. Dubner and T. Granlund, Primes of the Form (b^n+1)/(b+1), J. Integer Sequences, 3 (2000), #P00.2.7.
Eric Weisstein's World of Mathematics, Repunit
H. Lifchitz, Mersenne and Fermat primes field
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MAPLE
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MATLAB [From Paul Bourdelais (paul.bourdelais(AT)gd-ais.com), Dec 24 2008]
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MATHEMATICA
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a={}; Do[x=(5^n+1)/6; If[PrimeQ[x], AppendTo[a, n]], {n, 0, 12^2}]; a - Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 29 2008
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PROGRAM
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(Other) MATLAB [From Paul Bourdelais (paul.bourdelais(AT)gd-ais.com), Nov 04 2008]
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CROSSREFS
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Sequence in context: A156597 A059489 A059852 this_sequence A142009 A067393 A113265
Adjacent sequences: A057168 A057169 A057170 this_sequence A057172 A057173 A057174
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Sep 15 2000
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EXTENSIONS
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More terms from Kamil Duszenko (kdusz(AT)wp.pl), Jun 23 2003
30133 from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 05 2008
a(10) discovered 10/29/08 is a probable prime based on trial factoring to 3.5e13 and Fermat testing base 2. Paul Bourdelais (paul.bourdelais(AT)gd-ais.com), Nov 04 2008
a(11)=193939 from Paul Bourdelais discovered 12/24/08 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 24 2008
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