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

58889, 114749, 185519, 476579, 568979, 904769, 1726919, 4143389, 4413029, 6432599, 7571009, 9848249, 10444859, 12271439, 12338849, 13599689, 14669639, 15136259, 16390799, 17016809, 18453209, 20649809, 22190579, 22581809, 23475359, 24249419, 26979419, 29202059, 30126269, 30869669, 33263039

Offset: 1

Author

Alexander Yutkin, Jun 09 2025

Keywords

• nonn

Comments

Initial members of prime sextuples that correspond to the difference pattern [8, 4, 8, 4, 8].

Examples

			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).
		

Crossrefs

Cf. A000040, A001223.

Cf. A384298 [4, 8, 4], A384299 [8, 4, 8], A022008 [4, 2, 4, 2, 4].

Programs

Mathematica

Select[Prime[Range[2100000]], AllTrue[#+{8, 12, 20, 24, 32}, PrimeQ]&] (* Stefano Spezia, Jun 09 2025 *)

Formula

a(n) == 29 (mod 30).