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A048614
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Number of primes between successive pairs of twin primes.
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13
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0, 0, 0, 1, 1, 2, 1, 4, 0, 3, 0, 4, 0, 0, 2, 1, 3, 1, 2, 3, 10, 0, 4, 7, 4, 3, 2, 1, 2, 18, 0, 0, 2, 2, 17, 0, 1, 0, 2, 6, 9, 3, 1, 1, 1, 8, 3, 2, 0, 15, 1, 4, 1, 1, 7, 7, 0, 4, 0, 4, 3, 4, 0, 1, 0, 1, 7, 2, 5, 1, 5, 18, 2, 5, 4, 3, 1, 5, 1, 18, 0, 12, 2, 8, 0, 1, 4, 2, 0, 0, 5, 0, 4, 1, 1, 1, 9, 10, 4, 2, 6
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OFFSET
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1,6
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LINKS
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FORMULA
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EXAMPLE
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a(8)= 4 because between the 8th and 9th pairs of twins there are 4 primes: (71,73) 79 83 89 97 (101,103).
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MATHEMATICA
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t1=Select[Prime[Range[3, 542]], PrimeQ[#+2]&]; Prepend[Table[PrimePi[t1[[i+1]]]-PrimePi[t1[[i]]]-2, {i, 1, Length[t1]-1}], 0] (* Jayanta Basu, May 26 2013 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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Den Roussel (DenRoussel(AT)webtv.net)
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EXTENSIONS
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STATUS
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approved
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