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URL: https://oeis.org/A124589

⇱ A124589 - OEIS

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A124589
Primes p such that q-p <= 4, where q is the next prime after p.
5
2, 3, 5, 7, 11, 13, 17, 19, 29, 37, 41, 43, 59, 67, 71, 79, 97, 101, 103, 107, 109, 127, 137, 149, 163, 179, 191, 193, 197, 223, 227, 229, 239, 269, 277, 281, 307, 311, 313, 347, 349, 379, 397, 419, 431, 439, 457, 461, 463, 487, 499, 521, 569, 599, 613, 617, 641, 643, 659
OFFSET
1,1
COMMENTS
Union of A124588 and A029710; complement of A124582. - Reinhard Zumkeller, Dec 23 2006
FORMULA
a(n) >> n log^2 n. Infinite under standard conjectures. - Charles R Greathouse IV, Jun 01 2016
MATHEMATICA
Transpose[Select[Partition[Prime[Range[200]], 2, 1], Last[#]-First[#]<5&]][[1]] (* Harvey P. Dale, Apr 22 2013 *)
PROG
(PARI) is(n)=isprime(n) && (isprime(n+2) || isprime(n+4) || n==2) \\ Charles R Greathouse IV, Jun 01 2016
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Dec 19 2006
STATUS
approved