A324703 Lexicographically earliest sequence containing 3 and all positive integers n such that the prime indices of n - 1 already belong to the sequence.

3, 6, 14, 26, 44, 66, 102, 126, 170, 194, 216, 318, 326, 506, 558, 560, 626, 702, 846, 966, 1014, 1076, 1182, 1314, 1322, 1586, 1626, 1850, 2112, 2162, 2198, 2510, 2526, 2786, 2796, 3126, 3506, 3618, 4050, 4058, 4122, 4226, 4344, 4640, 4826, 5066, 5298, 5376

Offset

1,1

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..48.

Formula

a(n) = A324702(n) + 1.

Mathematica

aQ[n_]:=Switch[n, 0, False, 3, True, _, And@@Cases[FactorInteger[n-1], {p_, k_}:>aQ[PrimePi[p]]]];
Select[Range[0, 1000], aQ]

Crossrefs

Prime indices of A324702.

Cf. A000002, A000720, A001222, A001462, A007097, A045965, A055396, A061395, A064989, A079000, A079254, A109298, A112798, A276625, A277098, A304360.

Cf. A324694, A324695, A324696, A324697, A324698, A324699, A324700, A324701, A324704, A324705.

Sequence in context: A316245 A002219 A006906 * A120940 A049940 A265947

Adjacent sequences: A324700 A324701 A324702 * A324704 A324705 A324706

Keyword

nonn

Author

Gus Wiseman, Mar 11 2019

Status

approved