%I #8 Jan 19 2021 15:20:22
%S 217,1059,1229,1409,1457,1986,2169,2310,2406,3221,3505,3692,3995,4324,
%T 4923,5130,5518,6050,6152,6168,6434,7257,7362,7604,7694,7915,8293,
%U 8555,8584,8651,8859,9017,9341,9598,9796,9869,10028,10092,10116,10150,10211,10234,10317,10657,10744,10762
%N Indices of primes followed by a gap (distance to next larger prime) of 34.
%C Indices of the primes listed in A134116.
%H <a href="/index/Pri#gaps">Index entries for primes, gaps between</a>.
%F a(n) = A000720(A134116(n)).
%F A320715 = { i>0 | prime(i+1) = prime(i) + 34 }.
%t Position[Differences[Prime[Range[11000]]],34]//Flatten (* _Harvey P. Dale_, Jan 19 2021 *)
%o (PARI) A(N=100,g=34,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
%Y 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).
%Y Equals A000720 o A134116.
%Y Indices of 34's in A001223.
%Y Row 17 of A174349.
%K nonn
%O 1,1
%A _M. F. Hasler_, Oct 19 2018