A320710 Indices of primes followed by a gap (distance to next larger prime) of 24.

263, 327, 574, 615, 641, 697, 804, 834, 869, 909, 938, 987, 1022, 1045, 1127, 1336, 1399, 1421, 1446, 1452, 1551, 1577, 1865, 1883, 1908, 1938, 1939, 1968, 2032, 2064, 2128, 2130, 2176, 2214, 2313, 2508, 2555, 2592, 2612, 2652, 2736, 2762, 2991, 3162, 3243, 3285, 3483, 3489

Offset

1,1

Comments

Indices of the primes listed in A098974.

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Index entries for primes, gaps between.

Formula

a(n) = A000720(A098974(n)).

A320710 = { i > 0 | prime(i+1) = prime(i) + 24 }.

Maple

P:= [seq(ithprime(i), i=1..4001)]:
B:= P[2..-1]-P[1..-2]:
select(t -> B[t]=24, [$1..4000]); # Robert Israel, May 03 2019

Prog

(PARI) A(N=100, g=24, 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 A098974.

Row 12 of A174349.

Indices of 24'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: A345834 A180556 A288502 * A142754 A245877 A142379

Adjacent sequences: A320707 A320708 A320709 * A320711 A320712 A320713

Keyword

nonn

Author

M. F. Hasler, Oct 19 2018

Status

approved