id:A074311 - OEIS Search Results

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a(1) = 1; a(2) = 2; a(n) = smallest number greater than the previous term such that the average of three successive terms is a prime.

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1, 2, 3, 4, 8, 9, 16, 26, 27, 34, 50, 57, 70, 74, 75, 88, 104, 111, 112, 116, 153, 178, 188, 207, 238, 242, 243, 268, 278, 285, 286, 308, 327, 358, 362, 381, 394, 416, 417, 424, 452, 453, 466, 470, 501, 502, 506, 519, 538, 566, 567, 574, 590, 597, 610, 614, 615 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Inspired by A073627, A073628. Primes generated in the sequence are in A075551. Primes generated in A073628 are in A075552.`
	EXAMPLE	`a(5) = 8 because 1/3(a(3) + a(4) + a(5)) is a prime.`
	CROSSREFS	`Cf. A073627, A073628, A075551, A075552.` `Sequence in context: A045583 A045608 A068317 this_sequence A076382 A006899 A078830` `Adjacent sequences: A074308 A074309 A074310 this_sequence A074312 A074313 A074314`
	KEYWORD	`nonn`
	AUTHOR	`Zak Seidov (zakseidov(AT)yahoo.com), Sep 23 2002`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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