A358531 Indices of the primes in A358530.

6, 8, 11, 13, 14, 18, 20, 21, 23, 26, 27, 29, 32, 34, 36, 39, 42, 44, 46, 49, 50, 53, 55, 58, 60, 61, 64, 65, 68, 70, 74, 76, 79, 82, 84, 86, 89, 90, 93, 94, 96, 99, 101, 103, 105, 108, 110, 113, 114, 116, 117, 121, 123, 127, 129, 130, 132, 134, 135, 137

Offset: 1

Author

Clark Kimberling, Nov 21 2022

Keywords

• nonn
• easy

Comments

This sequence, together with A358529 and A356347, partition the set of positive integers >= 3.

Examples

			  n       1   2   3   4   5   6   7
  k       6   8  11  13  14  18  20
  p(n)   13  19  31  41  43  61  71
		

Crossrefs

Cf. A001223, A258026, A358528, A358529, A358530, A181424, A356347.

Programs

Mathematica

t = Select[2 + Range[140],
Prime[#] - Prime[# - 1] < Prime[# - 1] - Prime[# - 2] &]  (* A358531 *)
Prime[t]  (* A358530 *)

Formula

a(n) = A258026(n) + 2.