A320716 Indices of primes followed by a gap (distance to next larger prime) of 36.

1183, 1532, 1663, 1847, 2146, 2489, 2500, 2550, 2700, 2976, 3087, 3238, 3461, 4236, 4483, 4681, 4692, 4834, 4849, 4946, 5178, 5836, 6062, 6098, 6269, 6591, 6613, 6787, 6862, 6904, 7091, 7178, 7200, 7285, 7577, 7743, 8057, 8097, 8215, 8355, 8572, 8637, 8767, 8832, 8877, 9023, 9129, 9161

Offset

1,1

Comments

Indices of the primes listed in A134117.

Links

Table of n, a(n) for n=1..48.

Index entries for primes, gaps between.

Formula

a(n) = A000720(A134117(n)).

A320716 = { i>0 | prime(i+1) = prime(i) + 36 }.

Prog

(PARI) A(N=100, g=36, 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

Crossrefs

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

Equals A000720 o A134117.

Indices of 36's in A001223.

Row 18 of A174349.

Sequence in context: A237094 A321867 A210847 * A269017 A328064 A280516

Adjacent sequences: A320713 A320714 A320715 * A320717 A320718 A320719

Keyword

nonn

Author

M. F. Hasler, Oct 19 2018

Status

approved