A384528 Primes p such that p + 6, p + 12, p + 16, p + 22 and p + 28 are also primes.

31, 151, 2671, 20101, 128461, 198811, 297601, 307261, 350431, 354301, 531331, 560221, 585721, 649771, 813991, 1049821, 1141081, 1553401, 1616611, 1763401, 2032621, 2126611, 2349301, 2628811, 2874721, 2967331, 3014371, 3414211, 3441931, 3491071, 3677341, 3699181, 4192261, 4941241, 4951621

Offset

1,1

Comments

Initial members of prime sextuples that correspond to the difference pattern [6, 6, 4, 6, 6].

Links

Table of n, a(n) for n=1..35.

Formula

a(n) == 1 (mod 30). - Hugo Pfoertner, Jun 01 2025

Example

p=151: 151+6=157, 151+12=163, 151+16=167, 151+22=173, 151+28=179 —> prime sextuple: (151, 157, 163, 167, 173, 179).

Mathematica

Select[Prime[Range[350000]], PrimeQ[#+6]&&PrimeQ[#+12]&&PrimeQ[#+16]&&PrimeQ[#+22]&&PrimeQ[#+28] &] (* Stefano Spezia, Jun 01 2025 *)

Crossrefs

Cf. A000040, A001223.

Cf. A023241 [6, 6], A382810 [6, 4, 6].

Sequence in context: A142792 A201964 A226890 * A104049 A176922 A134553

Adjacent sequences: A384525 A384526 A384527 * A384529 A384530 A384531

Keyword

nonn

Author

Alexander Yutkin, Jun 01 2025

Status

approved