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A164129 Primes that are the sums of cubes of three consecutive primes. 3
66347, 199081, 332207, 581237, 733123, 1047691, 2647943, 3612799, 7505063, 10620793, 22715029, 32180581, 36355409, 60621553, 76753387, 98784001, 116319367, 147594259, 162516943, 177616529, 216596449, 252725563, 343774313 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

23^3+29^3+31^3=66347, 37^3+41^3+43^3=199081, 43^3+47^3+53^3=332207,..

MATHEMATICA

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 *)

CROSSREFS

Cf. A133530, A034962

Sequence in context: A251333 A157620 A174757 * A043591 A022256 A237925

Adjacent sequences:  A164126 A164127 A164128 * A164130 A164131 A164132

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Aug 10 2009

EXTENSIONS

Edited by Charles R Greathouse IV, Oct 12 2009

STATUS

approved

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Last modified March 23 05:36 EDT 2019. Contains 321422 sequences. (Running on oeis4.)