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Indices of primes followed by a gap (distance to next larger prime) of 44.
21

%I #4 Oct 22 2018 14:01:29

%S 1831,3861,4009,7499,8937,10328,10427,11725,12904,12926,13011,13051,

%T 16596,16915,18280,20055,20160,20352,20619,21458,21465,21550,21659,

%U 23752,23934,24107,24384,24445,24651,24871,24933,24992,25027,26089,26166,26483,26923,27038,27048,28898,29343

%N Indices of primes followed by a gap (distance to next larger prime) of 44.

%C Indices of the primes listed in A134121.

%H <a href="/index/Pri#gaps">Index entries for primes, gaps between</a>.

%F a(n) = A000720(A134121(n)).

%o (PARI) A(N=100,g=44,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 (analog for gaps 2 and 4), A320701, A320702, ... A320719 (analog for gaps 6, 8, 10, ..., 42), A116493 (gap 70), A116496 (gap 100), A116497 (gap 200), A116495 (gap 210).

%Y Equals A000720 o A134121.

%Y Indices of 44's in A001223.

%Y Row 22 of A174349.

%K nonn

%O 1,1

%A _M. F. Hasler_, Oct 19 2018