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Search: id:A131073
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| A131073 |
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a(1)=2. a(n) = a(n-1) + (number of terms, from among terms a(1) through a(n-1), which are prime). |
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+0
2
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| 2, 3, 5, 8, 11, 15, 19, 24, 29, 35, 41, 48, 55, 62, 69, 76, 83, 91, 99, 107, 116, 125, 134, 143, 152, 161, 170, 179, 189, 199, 210, 221, 232, 243, 254, 265, 276, 287, 298, 309, 320, 331, 343, 355, 367, 380, 393, 406, 419, 433, 448, 463, 479, 496, 513, 530, 547
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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By Dirichlet's Theorem, there are an infinite number of primes in this sequence.
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EXAMPLE
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There are 5 primes (2,3,5,11,19) among the first 7 terms of the sequence. So a(8) = a(7) + 5 = 24.
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MATHEMATICA
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f[lst_] := Append[lst, Last@lst + Length@ Select[lst, PrimeQ@# &]]; Nest[f, {2}, 56] - Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 02 2007
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CROSSREFS
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Sequence in context: A078444 A054925 A126097 this_sequence A062485 A137179 A096777
Adjacent sequences: A131070 A131071 A131072 this_sequence A131074 A131075 A131076
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Jun 13 2007
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 02 2007
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