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A030173
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Differences p(i)-p(j) between primes, sorted in numerical order.
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10
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1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 20, 21, 22, 24, 26, 27, 28, 29, 30, 32, 34, 35, 36, 38, 39, 40, 41, 42, 44, 45, 46, 48, 50, 51, 52, 54, 56, 57, 58, 59, 60, 62, 64, 65, 66, 68, 69, 70, 71, 72, 74, 76, 77, 78, 80, 81, 82, 84, 86, 87, 88, 90
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OFFSET
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1,2
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COMMENTS
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For n > 2: A092953(a(n)) > 0. - Reinhard Zumkeller, Nov 10 2012
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REFERENCES
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K. Soundararajan, Small gaps between prime numbers: the work of Goldston-Pintz-Yildirim, Bull. Amer. Math. Soc., 44 (2007), 1-18.
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..1000
Index entries for primes, gaps between
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FORMULA
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Conjectured to be union of even numbers and the odd primes minus 2.
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MATHEMATICA
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nn = 90; Union[Range[2, nn, 2], Prime[Range[2, PrimePi[nn+2]]] - 2]
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PROG
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(PARI) print1(1); p=3; forprime(q=5, 1e3, forstep(n=p-1, q-3, 2, print1(", "n)); print1(", ", q-2); p=q) \\ conjectural; Charles R Greathouse IV, Jul 02, 2011
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CROSSREFS
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Complement of A007921. Cf. A001223.
Sequence in context: A184520 A047248 A114024 * A048265 A002180 A207333
Adjacent sequences: A030170 A030171 A030172 * A030174 A030175 A030176
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KEYWORD
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nonn,easy,nice,changed
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AUTHOR
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Alexander Grasser [Graesser] (alex(AT)computicket.com)
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STATUS
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approved
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