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A164129
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Primes that are the sums of cubes of three consecutive primes.
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3
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66347, 199081, 332207, 581237, 733123, 1047691, 2647943, 3612799, 7505063, 10620793, 22715029, 32180581, 36355409, 60621553, 76753387, 98784001, 116319367, 147594259, 162516943, 177616529, 216596449, 252725563, 343774313
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OFFSET
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1,1
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LINKS
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EXAMPLE
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23^3+29^3+31^3=66347, 37^3+41^3+43^3=199081, 43^3+47^3+53^3=332207,..
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MATHEMATICA
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lst={}; Do[p=Prime[n]^3+Prime[n+1]^3+Prime[n+2]^3; If[PrimeQ[p], AppendTo[lst, p]], {n, 6!}]; lst
Select[Total[#^3]&/@Partition[Prime[Range[100]], 3, 1], PrimeQ] (* Harvey P. Dale, Nov 04 2015 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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