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A320715
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Indices of primes followed by a gap (distance to next larger prime) of 34.
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1
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217, 1059, 1229, 1409, 1457, 1986, 2169, 2310, 2406, 3221, 3505, 3692, 3995, 4324, 4923, 5130, 5518, 6050, 6152, 6168, 6434, 7257, 7362, 7604, 7694, 7915, 8293, 8555, 8584, 8651, 8859, 9017, 9341, 9598, 9796, 9869, 10028, 10092, 10116, 10150, 10211, 10234, 10317, 10657, 10744, 10762
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OFFSET
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1,1
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COMMENTS
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Indices of the primes listed in A134116.
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LINKS
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FORMULA
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A320715 = { i>0 | prime(i+1) = prime(i) + 34 }.
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MATHEMATICA
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Position[Differences[Prime[Range[11000]]], 34]//Flatten (* Harvey P. Dale, Jan 19 2021 *)
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PROG
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(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
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CROSSREFS
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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).
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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