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A124587 Primes p such that q-p >= 16, where q is the next prime after p. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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

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Last modified April 9 17:48 EDT 2020. Contains 333361 sequences. (Running on oeis4.)