A144842 Numbers k such that the three numbers k+3, k-3 and k+5 are all prime.

8, 14, 26, 56, 104, 134, 176, 194, 236, 266, 566, 596, 656, 824, 1016, 1226, 1286, 1484, 1604, 1616, 1874, 2084, 2336, 2546, 2966, 3254, 3326, 3464, 3536, 3764, 3914, 3926, 4016, 4214, 4256, 4646, 4796, 5006, 5276, 5474, 5654, 5846, 5864, 6266, 6356, 6566

Offset

1,1

Comments

Subset of A087695. - R. J. Mathar, Sep 24 2008

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Prime Triplet.

Formula

a(n) = A046138(n) + 3. - R. J. Mathar, Sep 24 2008

Mathematica

Select[Range[7000], And @@ PrimeQ[# + {-3, 3, 5}] &] (* Amiram Eldar, Apr 14 2022 *)

Prog

(Python)
from sympy import isprime
def ok(n): return n > 4 and isprime(n-3) and isprime(n+3) and isprime(n+5)
print(list(filter(ok, range(6567)))) # Michael S. Branicky, Aug 14 2021

Crossrefs

Cf. A046138, A087695, A086801, A144840.

Sequence in context: A029631 A187062 A153340 * A273843 A227867 A254034

Adjacent sequences: A144839 A144840 A144841 * A144843 A144844 A144845

Keyword

easy,nonn

Author

Giovanni Teofilatto, Sep 22 2008

Extensions

Definition edited and extended by R. J. Mathar, Sep 24 2008

Status

approved