A320714 Indices of primes followed by a gap (distance to next larger prime) of 32.

738, 1315, 3022, 3042, 3607, 4112, 4300, 4362, 4555, 4619, 4761, 4893, 5204, 5358, 5615, 5637, 6215, 6265, 6479, 6610, 6706, 6933, 7295, 7829, 7884, 8049, 8198, 8548, 9085, 9155, 9524, 9588, 9641, 9826, 9924, 10463, 10824, 11367, 11590, 11701, 11729, 11869, 12159, 12258, 12275, 12327

Offset

1,1

Comments

Indices of the primes listed in A126784.

Links

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

Index entries for primes, gaps between.

Formula

a(n) = A000720(A126784(n)).

A320714 = { i>0 | prime(i+1) = prime(i) + 32 }.

Maple

p:= 2: Res:= NULL: count:= 0:
for k from 1 while count < 100 do
  q:= nextprime(p);
  if q - p = 32 then
    count:= count+1;
    Res:= Res, k;
  fi;
  p:= q;
od:
Res; # Robert Israel, Oct 25 2018

Prog

(PARI) A(N=100, g=32, 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 A126784.

Indices of 32's in A001223.

Row 16 of A174349.

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: A043633 A171641 A251814 * A251647 A337738 A204289

Adjacent sequences: A320711 A320712 A320713 * A320715 A320716 A320717

Keyword

nonn

Author

M. F. Hasler, Oct 19 2018

Status

approved