id:A086519 - OEIS Search Results

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a(n) is the least prime not already used such that (a(n)+a(n-1))/2 is prime.

+0
4

3, 7, 19, 43, 31, 103, 151, 67, 79, 127, 199, 163, 139, 223, 331, 211, 271, 283, 379, 367, 307, 439, 487, 607, 547, 499, 643, 571, 523, 619, 463, 631, 691, 727, 739, 883, 823, 751, 787, 859, 907, 811, 1063, 919, 1123, 1051, 967, 1171, 1087, 991, 1471, 1291 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Second term onwards every prime == 1 (mod 6). Conjecture: every prime of the type 6k+1 is a member.` `After the first term, every member = 7 (mod 12). Conjecture: every prime of the form 12k+7 is a member. - David Wasserman (wasserma(AT)spawar.navy.mil), Mar 11 2005`
	CROSSREFS	`Cf. A086522.` `Sequence in context: A112391 A127928 A047025 this_sequence A090689 A126938 A127990` `Adjacent sequences: A086516 A086517 A086518 this_sequence A086520 A086521 A086522`
	KEYWORD	`nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 30 2003`
	EXTENSIONS	`More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Mar 11 2005`

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Last modified September 8 08:06 EDT 2008. Contains 143486 sequences.

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