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MATHEMATICA
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a={0, 0, 1, 0, 0, 0, 0, 0, 0}; step=9; lst={}; For[n=step, n<=1000, n++, sum=Plus@@a; If[PrimeQ[sum], AppendTo[lst, n]]; a=RotateLeft[a]; a[[step]]=sum]; lst
Flatten[Position[LinearRecurrence[Table[1, {9}], {0, 0, 1, 0, 0, 0, 0, 0, 0}, 510], _?(PrimeQ[#]&)]]-1 (* Harvey P. Dale, Feb 27 2016 *)
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CROSSREFS
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Cf. A001590, A001631, A100683, A231574, A231575, A232542, A214899, A230607, A020992, A232498, A214727, A081172, A214752, A141523, A214825, A235862, A000288, A000322, A000383, A249413, A060455, A079262, A251751.
Sequence in context: A359356 A178639 A087392 * A262422 A248336 A332478
Adjacent sequences: A255531 A255532 A255533 * A255535 A255536 A255537
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