cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A144842 #19 Feb 16 2025 08:33:09
%S A144842 8,14,26,56,104,134,176,194,236,266,566,596,656,824,1016,1226,1286,
%T A144842 1484,1604,1616,1874,2084,2336,2546,2966,3254,3326,3464,3536,3764,
%U A144842 3914,3926,4016,4214,4256,4646,4796,5006,5276,5474,5654,5846,5864,6266,6356,6566
%N A144842 Numbers k such that the three numbers k+3, k-3 and k+5 are all prime.
%C A144842 Subset of A087695. - _R. J. Mathar_, Sep 24 2008
%H A144842 Amiram Eldar, <a href="/A144842/b144842.txt">Table of n, a(n) for n = 1..10000</a>
%H A144842 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeTriplet.html">Prime Triplet</a>.
%F A144842 a(n) = A046138(n) + 3. - _R. J. Mathar_, Sep 24 2008
%t A144842 Select[Range[7000], And @@ PrimeQ[# + {-3, 3, 5}] &] (* _Amiram Eldar_, Apr 14 2022 *)
%o A144842 (Python)
%o A144842 from sympy import isprime
%o A144842 def ok(n): return n > 4 and isprime(n-3) and isprime(n+3) and isprime(n+5)
%o A144842 print(list(filter(ok, range(6567)))) # _Michael S. Branicky_, Aug 14 2021
%Y A144842 Cf. A046138, A087695, A086801, A144840.
%K A144842 easy,nonn
%O A144842 1,1
%A A144842 _Giovanni Teofilatto_, Sep 22 2008
%E A144842 Definition edited and extended by _R. J. Mathar_, Sep 24 2008