A320711 Indices of primes followed by a gap (distance to next larger prime) of 26.

367, 446, 732, 1357, 1440, 1475, 1746, 1864, 1912, 1933, 2293, 2714, 2888, 2912, 3159, 3204, 3362, 3523, 3715, 3786, 3801, 3840, 3870, 3920, 3931, 4107, 4164, 4235, 4240, 4502, 4643, 4809, 4957, 4990, 5110, 5371, 5440, 5451, 5581, 5712, 5736, 5743, 5870, 5882, 5906, 5923, 5933, 6018, 6277

Offset

1,1

Comments

Indices of the primes listed in A124594.

Links

Table of n, a(n) for n=1..49.

Index entries for primes, gaps between.

Formula

a(n) = A000720(A124594(n)).

A320711 = { i > 0 | prime(i+1) = prime(i) + 26 }.

Prog

(PARI) A(N=100, g=26, 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

Equals A000720 o A124594.

Row 13 of A174349.

Indices of 26'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: A080020 A192448 A118566 * A142236 A307009 A186467

Adjacent sequences: A320708 A320709 A320710 * A320712 A320713 A320714

Keyword

nonn

Author

M. F. Hasler, Oct 19 2018

Status

approved