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 A168322 a(1)=3,a(2)=5; a(n+1)=smallest prime number > a(n-1) such that the sum of any three consecutive terms is a prime. 1
 3, 5, 5, 7, 7, 17, 13, 23, 17, 31, 19, 47, 23, 61, 29, 67, 31, 83, 37, 103, 41, 107, 43, 113, 67, 127, 83, 137, 97, 139, 101, 149, 103, 157, 107, 167, 109, 173, 127, 179, 137, 193, 149, 199, 151, 227, 163, 229, 179, 233, 181, 239, 193, 241, 197, 263, 199, 271, 239 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS MATHEMATICA a=3; b=5; lst={a, b}; Do[Do[If[PrimeQ[q]&&PrimeQ[a+b+q], c=q; Break[]], {q, a+2, 9!, 2}]; AppendTo[lst, c]; a=b; b=c, {n, 6!}]; lst CROSSREFS Cf. A062391 Sequence in context: A109258 A088081 A206768 * A138475 A195990 A023840 Adjacent sequences:  A168319 A168320 A168321 * A168323 A168324 A168325 KEYWORD nonn AUTHOR Vladimir Joseph Stephan Orlovsky, Nov 22 2009 STATUS approved

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Last modified October 23 09:28 EDT 2019. Contains 328345 sequences. (Running on oeis4.)