A320713 Indices of primes followed by a gap (distance to next larger prime) of 30.

590, 650, 708, 757, 842, 890, 928, 985, 1006, 1051, 1108, 1556, 1570, 1648, 1650, 1675, 1754, 1900, 1919, 2027, 2125, 2149, 2321, 2391, 2397, 2429, 2631, 2637, 2699, 2781, 2866, 2918, 2989, 2993, 3010, 3085, 3153, 3207, 3315, 3340, 3350, 3373, 3420, 3511, 3551, 3580, 3637, 3751, 3777, 3948

Offset

1,1

Comments

Indices of the primes listed in A124596.

Links

Table of n, a(n) for n=1..50.

Index entries for primes, gaps between.

Formula

a(n) = A000720(A124596(n)).

A320713 = { i>0 | prime(i+1) = prime(i) + 30 } = A001223^(-1)({30}).

Prog

(PARI) A(N=100, g=30, 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 A124596.

Indices of 30's in A001223.

Row 15 of A174349.

Subsequence of A107730 (prime(n+1) ends in same digit as prime(n)).

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: A145699 A203628 A204752 * A116170 A171724 A195894

Adjacent sequences: A320710 A320711 A320712 * A320714 A320715 A320716

Keyword

nonn

Author

M. F. Hasler, Oct 19 2018

Status

approved