A286711 a(n) is the position of the first occurrence of 2n as a local minimum in the prime gaps (A001223).

5, 22, 67, 126, 138, 1253, 1586, 1356, 3524, 2129, 10464, 14174, 19633, 23354, 44754, 52872, 194426, 122046, 209609, 249329, 256005, 493543, 335001, 116305, 895479, 1698315, 1324483, 2783617, 679305, 1015023, 2217824, 3625328, 1595431, 6660573, 13611829, 4061952, 14641489

Offset

1,1

Links

Zak Seidov and Giovanni Resta, Table of n, a(n) for n = 1..100 (first 50 terms from Zak Seidov)

Example

a(1)=5 because A001223(4)=4, A001223(5)=2, A001223(6)=4,
a(2)=22 because A001223(21)=6, A001223(22)=4, A001223(23)=6,
a(50)=112849562 because A001223(112849561)=108, A001223(112849562)=100, A001223(112849563)=120,

Mathematica

nv=tg=20; T = 0 Range[nv]; n=0; p=q=3; b=c=2; While[tg>0, p = NextPrime[p]; n++; {a, b, c, q} = {b, c, p-q, p}; If[b <= 2 nv && a>b<c && T[[b/2]] == 0, T[[b/2]] = n; tg--]]; T (* Giovanni Resta, May 13 2017 *)

Crossrefs

Cf. A001223 (differences between consecutive primes), A196175 (positions of local minima in A001223).

Sequence in context: A064836 A273311 A288534 * A222632 A366081 A273336

Adjacent sequences: A286708 A286709 A286710 * A286712 A286713 A286714

Keyword

nonn

Author

Zak Seidov, May 13 2017

Status

approved