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 A324696 Lexicographically earliest sequence containing 1 and all numbers divisible by prime(m) for some m not already in the sequence. 19
 1, 3, 6, 7, 9, 11, 12, 14, 15, 18, 19, 21, 22, 24, 27, 28, 29, 30, 33, 35, 36, 38, 39, 41, 42, 44, 45, 48, 49, 51, 53, 54, 55, 56, 57, 58, 59, 60, 63, 66, 69, 70, 71, 72, 75, 76, 77, 78, 81, 82, 83, 84, 87, 88, 90, 91, 93, 95, 96, 97, 98, 99, 101, 102, 105 (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 EXAMPLE The sequence of terms together with their prime indices begins:    1: {}    3: {2}    6: {1,2}    7: {4}    9: {2,2}   11: {5}   12: {1,1,2}   14: {1,4}   15: {2,3}   18: {1,2,2}   19: {8}   21: {2,4}   22: {1,5}   24: {1,1,1,2}   27: {2,2,2}   28: {1,1,4}   29: {10}   30: {1,2,3}   33: {2,5}   35: {3,4}   36: {1,1,2,2} MATHEMATICA aQ[n_]:=n==1||Or@@Cases[FactorInteger[n], {p_, k_}:>!aQ[PrimePi[p]]]; Select[Range[100], aQ] CROSSREFS Complement of A304360. Cf. A000002, A000720, A001222, A001462, A007097, A055396, A061395, A079000, A079254, A109298, A112798, A276625, A277098. Cf. A324694, A324695, A324697, A324698, A324699, A324700, A324701, A324702, A324703, A324704, A324705. Sequence in context: A085837 A176237 A187811 * A186348 A071822 A268380 Adjacent sequences:  A324692 A324694 A324695 * A324697 A324698 A324699 KEYWORD nonn AUTHOR Gus Wiseman, Mar 10 2019 STATUS approved

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Last modified April 19 06:30 EDT 2019. Contains 322237 sequences. (Running on oeis4.)