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Search: id:A119491
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| A119491 |
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Sum of the first n n-digit primes. |
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+0
2
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| 2, 24, 311, 4062, 50153, 600240, 7000409, 80000960, 900000729, 10000000754, 110000001257, 1200000001154, 13000000002051, 140000000003318, 1500000000003685, 16000000000004454, 170000000000009723
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Robert G. Wilson v, Table of n, a(n) for n = 1..100
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EXAMPLE
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The first three three-digit primes are: 101, 103 and 107. Their sum is 311. Hence a(3) is 311.
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MAPLE
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with(numtheory): a:=n->add(ithprime(pi(nextprime(10^(n-1)))+i), i=0..n-1): seq(a(n), n=1..9); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 29 2006
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MATHEMATICA
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NextPrim[n_] := Block[{k = n + 1}, While[ !PrimeQ@k, k++ ]; k]; f[n_] := Plus @@ Rest@NestList[NextPrim, 10^(n - 1), n]; Array[f, 18] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A114053.
Sequence in context: A052739 A135389 A065513 this_sequence A001864 A099045 A013523
Adjacent sequences: A119488 A119489 A119490 this_sequence A119492 A119493 A119494
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KEYWORD
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base,nonn
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AUTHOR
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Tanya Khovanova (tanyakh(AT)yahoo.com), Jul 26 2006
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EXTENSIONS
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a(5)-a(8) from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 29 2006
a(9)-a(18) from Robert G. Wilson v (rgwv(at)rgwv.com), Aug 01 2006
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