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.

A384527 Primes p such that p + 6, p + 12, p + 14, p + 20 and p + 26 are also primes.

This page as a plain text file.
%I A384527 #11 Jun 05 2025 22:00:18
%S A384527 17,47,257,587,1277,4637,14537,19457,71327,101267,113147,115757,
%T A384527 150197,179807,191447,193367,267887,302567,344237,408197,416387,
%U A384527 442817,482387,536267,566537,652727,886967,1043747,1268777,1300127,1373147,1464257,1589657,1616597,1988237
%N A384527 Primes p such that p + 6, p + 12, p + 14, p + 20 and p + 26 are also primes.
%C A384527 Initial members of prime sextuples that correspond to the difference pattern [6, 6, 2, 6, 6].
%F A384527 a(n) == 17 (mod 30). - _Hugo Pfoertner_, Jun 01 2025
%e A384527 p=257: 257+6=263, 257+12=269, 257+14=271, 257+20=277, 257+26=283 —> prime sextuple: (257, 263, 269, 271, 277, 283).
%t A384527 Select[Prime[Range[150000]],PrimeQ[#+6]&&PrimeQ[#+12]&&PrimeQ[#+14]&&PrimeQ[#+20]&&PrimeQ[#+26] &] (* _Stefano Spezia_, Jun 01 2025 *)
%Y A384527 Cf. A000040, A001223.
%Y A384527 Cf. A023241 [6, 6], A140565 [6, 2, 6].
%K A384527 nonn
%O A384527 1,1
%A A384527 _Alexander Yutkin_, Jun 01 2025