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 A192592 Monotonic ordering of set S generated by these rules:  if x and y are in S and 3x+2y is a prime, then 3x+2y is in S, and 1 is in S. 3
 1, 5, 13, 17, 29, 37, 41, 53, 61, 73, 89, 97, 109, 113, 137, 149, 157, 173, 181, 193, 197, 229, 233, 241, 257, 269, 277, 281, 293, 313, 317, 337, 349, 353, 373, 389, 397, 401, 409, 421, 433, 449, 457, 461, 509, 521, 541, 557, 569, 577, 593, 601, 613, 617 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See the discussions at A192476 and A192580. LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..609 MATHEMATICA start = {1}; primes = Table[Prime[n], {n, 1, 10000}]; f[x_, y_] := If[MemberQ[primes, 2 x + 3 y], 2 x + 3 y] b[x_] :=   Block[{w = x},    Select[Union[      Flatten[AppendTo[w,        Table[f[w[[i]], w[[j]]], {i, 1, Length[w]}, {j, 1,          Length[w]}]]]], # < 1000 &]]; t = FixedPoint[b, start]     (* A192592 *) PrimePi[t]    (* A192593 *) CROSSREFS Cf. A192476, A192580, A192593. Sequence in context: A002144 A280084 A319287 * A349900 A347163 A111055 Adjacent sequences:  A192589 A192590 A192591 * A192593 A192594 A192595 KEYWORD nonn AUTHOR Clark Kimberling, Jul 05 2011 STATUS approved

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Last modified August 7 12:01 EDT 2022. Contains 355985 sequences. (Running on oeis4.)