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Search: id:A003306
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| A003306 |
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Numbers n such that 2*3^n + 1 is prime.
(Formerly M0951)
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+0
8
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| 0, 1, 2, 4, 5, 6, 9, 16, 17, 30, 54, 57, 60, 65, 132, 180, 320, 696, 782, 822, 897, 1252, 1454, 4217, 5480, 6225, 7842, 12096, 13782, 17720, 43956, 64822, 82780, 105106, 152529, 165896
(list; graph; listen)
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OFFSET
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1,3
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
H. C. Williams and C. R. Zarnke, Some prime numbers of the forms 2*3^n+1 and 2*3^n-1, Math. Comp., 26 (1972), 995-998.
Wilfrid Keller and Jorg Richstein, Solutions of the congruence a^(p-1) = 1 (mod p^r), Math. Comp., Vol. 74 (2005), 927-936.
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LINKS
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C. K. Caldwell, The Prime Pages
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MATHEMATICA
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lst={}; Do[If[PrimeQ[2*3^n+1], AppendTo[lst, n]], {n, 0, 10^4}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 19 2008]
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CROSSREFS
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Cf. A056802 (n such that 2*9^n + 1 is prime).
Cf. A111974 (primes of the form 2*3^n+1), A003307 (n such that 2*3^n-1 is prime).
Sequence in context: A073894 A056635 A163116 this_sequence A136585 A122721 A014224
Adjacent sequences: A003303 A003304 A003305 this_sequence A003307 A003308 A003309
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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), caldwell(AT)UTM.Edu (Chris Caldwell)
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EXTENSIONS
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More terms from T. D. Noe (noe(AT)sspectra.com), Aug 24 2005
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