A320705 Indices of primes followed by a gap (distance to next larger prime) of 14.

30, 62, 66, 137, 146, 150, 162, 223, 250, 283, 309, 350, 360, 382, 402, 410, 424, 434, 503, 514, 526, 532, 536, 570, 610, 649, 654, 666, 687, 704, 706, 747, 780, 790, 867, 906, 919, 929, 967, 978, 981, 992, 1011, 1023, 1038, 1042, 1057, 1072, 1133, 1154, 1160, 1177, 1184

Offset

1,1

Comments

Indices of the primes listed in A031932.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..8000

Index entries for primes, gaps between.

Formula

a(n) = A000720(A031932(n)).

A320705 = { i > 0 | prime(i+1) = prime(i) + 14 }.

Mathematica

Select[Range[1500], Prime[#] + 14 == Prime[# + 1] &] (* Vincenzo Librandi, Mar 19 2019 *)

Prog

(PARI) A(N=100, g=14, p=2, i=primepi(p)-1, L=List())={forprime(q=1+p, , i++; if(p+g==p=q, listput(L, i); N--||break)); Vec(L)} \\ returns the list of first N terms of the sequence
(Magma) [n: n in [1..1500] | NthPrime(n+1) - NthPrime(n) eq 14]; // Vincenzo Librandi, Mar 19 2019

Crossrefs

Equals A000720 o A031932.

Row 7 of A174349.

Indices of 14's in A001223.

Cf. A029707, A029709, A320701, A320702, ..., A320720 (analog for gaps 2, 4, 6, 8, ..., 44), A116493 (gap 70), A116496 (gap 100), A116497 (gap 200), A116495 (gap 210).

Sequence in context: A042794 A042796 A042798 * A132771 A326158 A300790

Adjacent sequences: A320702 A320703 A320704 * A320706 A320707 A320708

Keyword

nonn

Author

M. F. Hasler, Oct 19 2018

Status

approved