id:A066495 - OEIS Search Results

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Numbers n such that f(n) = f(n-1)+f(n-2) where f denotes the prime gaps function given by f(m) = p(m+1)-p(m) and p(m) denotes the m-th prime.

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3

4, 9, 15, 21, 51, 71, 118, 184, 208, 227, 231, 238, 255, 267, 290, 317, 326, 354, 381, 392, 396, 437, 494, 499, 544, 553, 569, 627, 645, 660, 720, 756, 796, 922, 932, 937, 960, 968, 990, 1027, 1034, 1087, 1103, 1130, 1157, 1173, 1175, 1227, 1237, 1251 (list; graph; listen)

	OFFSET	`1,1`
	EXAMPLE	`f(9) = 6 = 4 + 2 = f(8) + f(7); so 9 is a member of a(n).`
	MATHEMATICA	`f[n_] := Prime[n + 1] - Prime[n]; Select[Range[3, 10^4], f[ # ] == f[ # - 1] + f[ # - 2] &]`
	CROSSREFS	`Cf. A001223, A109226.` `Sequence in context: A103393 A103392 A073046 this_sequence A134227 A055999 A022945` `Adjacent sequences: A066492 A066493 A066494 this_sequence A066496 A066497 A066498`
	KEYWORD	`nonn`
	AUTHOR	`Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Jan 03 2002`
	EXTENSIONS	`Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 23 2005`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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