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Search: id:A006450
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| A006450 |
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Primes with prime subscripts.
(Formerly M2477)
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+0
71
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| 3, 5, 11, 17, 31, 41, 59, 67, 83, 109, 127, 157, 179, 191, 211, 241, 277, 283, 331, 353, 367, 401, 431, 461, 509, 547, 563, 587, 599, 617, 709, 739, 773, 797, 859, 877, 919, 967, 991, 1031, 1063, 1087, 1153, 1171, 1201, 1217, 1297, 1409, 1433, 1447, 1471
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Sometimes called Prime-Index-Primes or PIPs. - Jonathan Vos Post, Jul 19 2008
A000040 = A006450 U A007821. - Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Sep 24 2009
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REFERENCES
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R. E. Dressler and S. T. Parker, Primes with a prime subscript, J. ACM, 22 (1975), 380-381.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..1000
Paul Cooijmans, Numbers.
Paul Cooijmans, Short Test For Genius.
N. Fernandez, An order of primeness, F(p)
N. Fernandez, More terms of this and other sequences related to A049076.
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FORMULA
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a(n)=prime(prime(n))=A000040(A000040(n)). - Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Sep 24 2009
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EXAMPLE
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a(5)=31 because a(5)=p(p(5))=p(11)=31
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MAPLE
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seq(ithprime(ithprime(i)), i=1..50); - Uli Baum (Uli_Baum(AT)gmx.de), Sep 05 2007
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MATHEMATICA
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Table[ Prime[ Prime[ n ] ], {n, 1, 51} ]
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CROSSREFS
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Primes for which A049076 > 1.
Cf. A049076, A007821, A000040, A038580, A049090, A049203, A049202, A057849, A057850, A057851, A057847, A058332, A093047.
Sequence in context: A090795 A087732 A108542 this_sequence A085918 A146622 A124179
Adjacent sequences: A006447 A006448 A006449 this_sequence A006451 A006452 A006453
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KEYWORD
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nonn,easy,nice
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AUTHOR
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Jeffrey Shallit, sm
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