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A384771 Primes p such that p + 8, p + 12, p + 20, p + 24 and p + 32 are also primes.

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%I A384771 #7 Jun 16 2025 00:11:04
%S A384771 58889,114749,185519,476579,568979,904769,1726919,4143389,4413029,
%T A384771 6432599,7571009,9848249,10444859,12271439,12338849,13599689,14669639,
%U A384771 15136259,16390799,17016809,18453209,20649809,22190579,22581809,23475359,24249419,26979419,29202059,30126269,30869669,33263039
%N A384771 Primes p such that p + 8, p + 12, p + 20, p + 24 and p + 32 are also primes.
%C A384771 Initial members of prime sextuples that correspond to the difference pattern [8, 4, 8, 4, 8].
%F A384771 a(n) == 29 (mod 30).
%e A384771 p=58889: 58889+8=58897, 58889+12=58901, 58889+20=58909, 58889+24=58913, 58889+32=58921 —> prime sextuple: (58889, 58897, 58901, 58909, 58913, 58921).
%t A384771 Select[Prime[Range[2100000]], AllTrue[#+{8, 12, 20, 24, 32}, PrimeQ]&] (* _Stefano Spezia_, Jun 09 2025 *)
%Y A384771 Cf. A000040, A001223.
%Y A384771 Cf. A384298 [4, 8, 4], A384299 [8, 4, 8], A022008 [4, 2, 4, 2, 4].
%K A384771 nonn
%O A384771 1,1
%A A384771 _Alexander Yutkin_, Jun 09 2025