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A093981 Number of prime pairs below 10^n having a difference of 54. 0
0, 0, 0, 0, 4, 140, 2403, 33593, 410754 (list; graph; refs; listen; history; internal format)
OFFSET

1,5

COMMENTS

The primes must be consecutive, i.e., there must be no other primes between p and (p+54).  [From Harvey P. Dale, Aug 08 2011]

FORMULA

Count prime pairs below 10^n having a difference of 54

EXAMPLE

a(6)=140 because there are 140 prime gaps of 54 below 10^6

MATHEMATICA

Table[Count[Partition[Prime[Range[PrimePi[10^i]]], 2, 1], _?(Last[#] - First[#] == 54&)], {i, 9}] (* From Harvey P. Dale, Aug 08 2011 *)

CROSSREFS

Sequence in context: A201388 A089666 A029850 * A055304 A002917 A119038

Adjacent sequences:  A093978 A093979 A093980 * A093982 A093983 A093984

KEYWORD

nonn

AUTHOR

Enoch Haga (Enokh(AT)comcast.net), Apr 24 2004

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Last modified February 14 18:47 EST 2012. Contains 205663 sequences.