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.

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

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Nov 22 2009

Keywords

• nonn

Crossrefs

Cf. A062391

Programs

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