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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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2
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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; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Values A014574(j) of the form A014574(k)+A014574(k+1)+A014574(k+2).
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EXAMPLE
| a(1) = 60 = A014574(7) = 12+18+30 = A014574(3)+A014574(4)+A014574(5).
a(2) = 282 = A014574(19) = 72+102+108= = A014574(8)+A014574(9)+ A014574(10).
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MATHEMATICA
| 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
| Cf. A160916.
Sequence in context: A134587 A100153 A059461 * A100154 A100148 A100151
Adjacent sequences: A160914 A160915 A160916 * A160918 A160919 A160920
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KEYWORD
| nonn
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AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), May 30 2009
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EXTENSIONS
| Comments moved to the examples - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 11 2009
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