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A093981
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Number of prime pairs below 10^n having a difference of 54.
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2
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0, 0, 0, 0, 4, 140, 2403, 33593, 410754, 4627165, 49484726, 511589763, 5167085638, 51359117940, 504751212449, 4920758221226, 47694473239363, 460356869024451
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OFFSET
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1,5
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COMMENTS
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The primes must be consecutive, i.e., there must be no other primes between p and (p+54). - Harvey P. Dale, Aug 08 2011
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LINKS
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Table of n, a(n) for n=1..18.
Siegfried "Zig" Herzog, Frequency of Occurrence of Prime Gaps
T. Oliveira e Silva, S. Herzog, and S. Pardi, Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4.10^18, Math. Comp., 83 (2014), 2033-2060.
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EXAMPLE
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a(6) = 140 because there are 140 prime gaps of 54 below 10^6.
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MATHEMATICA
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Table[Count[Partition[Prime[Range[PrimePi[10^i]]], 2, 1], _?(Last[#] - First[#] == 54&)], {i, 9}] (* Harvey P. Dale, Aug 08 2011 *)
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CROSSREFS
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Cf. A007508, A093980, A093982.
Sequence in context: A221675 A340838 A291450 * A055304 A270065 A002917
Adjacent sequences: A093978 A093979 A093980 * A093982 A093983 A093984
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KEYWORD
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nonn,more
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AUTHOR
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Enoch Haga, Apr 24 2004
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EXTENSIONS
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a(10)-a(13) from Washington Bomfim, Jun 22 2012
a(14)-a(18) from S. Herzog's website added by Giovanni Resta, Aug 14 2018
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STATUS
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approved
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