A124587 Primes p such that q-p >= 16, where q is the next prime after p.

523, 887, 1069, 1129, 1259, 1327, 1381, 1637, 1669, 1759, 1831, 1913, 1933, 1951, 2113, 2161, 2179, 2221, 2251, 2311, 2477, 2503, 2557, 2593, 2803, 2861, 2971, 3089, 3121, 3137, 3229, 3271, 3373, 3391, 3413, 3433, 3469, 3643, 3739, 3803, 3889, 3947, 3967

Offset

1,1

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

K. Soundararajan, Small gaps between prime numbers: the work of Goldston-Pintz-Yildirim, Bull. Amer. Math. Soc., 44 (2007), 1-18.

Index entries for primes, gaps between

Formula

a(n) = n log n + O(n log^2 n). - Charles R Greathouse IV, May 05 2017

Mathematica

Prime[#]&/@Flatten[Position[Differences[Prime[Range[600]]], _?(#>14&)]] (* Harvey P. Dale, Dec 10 2023 *)

Prog

(PARI) is(n)=isprime(n) && nextprime(n+2)-n > 15 \\ Charles R Greathouse IV, May 05 2017

Crossrefs

Sequence in context: A142778 A332675 A152673 * A095651 A117838 A031936

Adjacent sequences: A124584 A124585 A124586 * A124588 A124589 A124590

Keyword

nonn

Author

N. J. A. Sloane, Dec 19 2006

Status

approved