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

Author

Zak Seidov, May 13 2017

Keywords

• nonn

Examples

			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,
		

Links

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

Crossrefs

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

Programs

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>bGiovanni Resta, May 13 2017 *)