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 A154497 a(n) is the least prime > a(n-1) such that a(n-2) + a(n-1) + a(n) is prime, with a(1)=3, a(2)=11. 4
 3, 11, 17, 19, 23, 29, 31, 37, 41, 53, 73, 97, 101, 109, 127, 131, 139, 149, 151, 157, 179, 211, 223, 227, 233, 241, 269, 277, 281, 349, 353, 359, 379, 433, 467, 499, 521, 523, 557, 577, 587, 613, 631, 743, 757, 769, 821, 827, 829, 883, 947, 967, 983, 1013, 1087 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..55. EXAMPLE 3+11+17 = 31, 11+17+19 = 47, 17+19+23 = 59, ... MAPLE A[1]:= 3: A[2]:= 11: for i from 3 to 100 do p:= A[i-1]; do p:= nextprime(p); if isprime(A[i-2]+A[i-1]+p) then A[i]:= p; break fi od od: seq(A[i], i=1..100); # Robert Israel, Jan 17 2023 MATHEMATICA a=3; b=11; lst={a, b}; Do[c=Prime[n]; p=a+b+c; If[PrimeQ[p], AppendTo[lst, c]; a=b; b=c], {n, 5, 6!}]; lst CROSSREFS Cf. A154484, A154485, A154486, A154487, A154488, A154493, A154494, A154495, A154496, A062391. Sequence in context: A216911 A356074 A351051 * A322171 A038946 A095280 Adjacent sequences: A154494 A154495 A154496 * A154498 A154499 A154500 KEYWORD nonn AUTHOR Vladimir Joseph Stephan Orlovsky, Jan 10 2009 EXTENSIONS NAME adapted to offset by R. J. Mathar, Jun 19 2021 Name corrected by Robert Israel, Jan 17 2023 STATUS approved

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Last modified September 26 08:38 EDT 2023. Contains 365654 sequences. (Running on oeis4.)