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A286711 a(n) is the position of the first occurrence of 2n as a local minimum in the prime gaps (A001223). 1
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 (list; graph; refs; listen; history; text; internal format)
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 A273336 A273768

Adjacent sequences:  A286708 A286709 A286710 * A286712 A286713 A286714

KEYWORD

nonn

AUTHOR

Zak Seidov, May 13 2017

STATUS

approved

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Last modified January 23 07:07 EST 2020. Contains 331168 sequences. (Running on oeis4.)