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A075342
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a(1) = 1, a(n+1) is the smallest number such that there are n primes between a(n) and a(n+1) exclusive.
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1
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1, 3, 8, 18, 32, 54, 80, 110, 158, 200, 264, 332, 402, 480, 578, 662, 774, 888, 1022, 1154, 1298, 1460, 1610, 1788, 1994, 2162, 2378, 2610, 2798, 3042, 3314, 3548, 3804, 4080, 4364, 4664, 4988, 5310, 5648, 5954, 6312, 6690, 7028, 7482, 7842, 8264, 8690
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 3 is the only prime member, a(3) onwards a(n)-1 is prime.
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MATHEMATICA
| Join[{1, 3}, Rest[(Prime[#]+1)&/@Table[(n(n+1))/2+1, {n, 50}]]] (* From Harvey P. Dale, Jul 25 2011 *)
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PROG
| (PARI) a(n)=if(n<3, [1, 3][n], prime(n*(n-1)/2+1)+1) \\ Charles R Greathouse IV, Jul 24 2011
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CROSSREFS
| Cf. A075343.
Sequence in context: A004210 A119881 A184636 * A083726 A081489 A055278
Adjacent sequences: A075339 A075340 A075341 * A075343 A075344 A075345
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 18 2002
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EXTENSIONS
| More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Jan 30 2003
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