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 A324695 Lexicographically earliest sequence of positive integers whose prime indices are not already in the sequence. 54
 1, 3, 7, 9, 11, 13, 19, 21, 27, 29, 33, 37, 39, 43, 47, 49, 53, 57, 59, 61, 63, 71, 77, 79, 81, 83, 87, 89, 91, 97, 99, 101, 107, 111, 113, 117, 121, 127, 129, 131, 133, 139, 141, 143, 147, 149, 151, 159, 163, 169, 171, 173, 177, 179, 181, 183, 189, 193, 197 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS A self-describing sequence, similar to A304360. A prime index of n is a number m such that prime(m) divides n. The multiset of prime indices of n is row n of A112798. LINKS Table of n, a(n) for n=1..59. EXAMPLE The sequence of terms together with their prime indices begins: 1: {} 3: {2} 7: {4} 9: {2,2} 11: {5} 13: {6} 19: {8} 21: {2,4} 27: {2,2,2} 29: {10} 33: {2,5} 37: {12} 39: {2,6} 43: {14} 47: {15} 49: {4,4} 53: {16} 57: {2,8} 59: {17} 61: {18} 63: {2,2,4} MATHEMATICA aQ[n_]:=And@@Cases[If[n==1, {}, FactorInteger[n]], {p_, k_}:>!aQ[PrimePi[p]]]; Select[Range[100], aQ] CROSSREFS Complement of A324694. Prime indices are A304360. Cf. A000002, A000720, A001222, A001462, A007097, A055396, A061395, A079000, A079254, A109298, A112798, A276625, A277098. Cf. A324696, A324697, A324698, A324699, A324700, A324701, A324702, A324703, A324704, A324705. Sequence in context: A104381 A136333 A134454 * A113522 A222262 A027897 Adjacent sequences: A324692 A324693 A324694 * A324696 A324697 A324698 KEYWORD nonn AUTHOR Gus Wiseman, Mar 10 2019 STATUS approved

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Last modified November 30 02:53 EST 2023. Contains 367452 sequences. (Running on oeis4.)