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Search: id:A160917
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| A160917 |
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Averages of twin prime pairs which can be represented as a sum of three consecutive of such pair averages. |
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+0
4
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| 60, 282, 348, 522, 570, 618, 1788, 2112, 4050, 4422, 5880, 6198, 8232, 9678, 10458, 11700, 12072, 12162, 12378, 14010, 16140, 17598, 17838, 21648, 22698, 33348, 36342, 39228, 41610, 43782, 44088, 46272, 48780, 51198, 53088, 56910, 58230
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Values A014574(j) of the form A014574(k)+A014574(k+1)+A014574(k+2).
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EXAMPLE
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a(1) = 60 = A014574(6) = 12+18+30 = A014574(2)+A014574(3)+A014574(4).
a(2) = 282 = A014574(18) = 72+102+108= = A014574(7)+A014574(8)+ A014574(9).
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MATHEMATICA
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PrimeNextTwinAverage[n_]:=Module[{k}, k=n+1; While[ !PrimeQ[k-1]||!PrimeQ[k+1], k++ ]; k]; lst={}; Do[If[PrimeQ[n-1]&&PrimeQ[n+1], a=n; b=PrimeNextTwinAverage[a]; c=PrimeNextTwinAverage[b]; a=a+b+c; If[PrimeQ[a-1]&&PrimeQ[a+1], AppendTo[lst, a]]], {n, 8!}]; lst
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CROSSREFS
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Cf. A160916.
Sequence in context: A134587 A100153 A059461 this_sequence A100154 A100148 A100151
Adjacent sequences: A160914 A160915 A160916 this_sequence A160918 A160919 A160920
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), May 30 2009
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EXTENSIONS
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Comments moved to the examples - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 11 2009
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