A385824 - OEIS

A385824

Primes p such that p + 10, p + 18, p + 24, p + 28 and p + 30 are also primes.

13, 43, 79, 14533, 41203, 42433, 47119, 88789, 113143, 150193, 340909, 348433, 416389, 556243, 576193, 609589, 626599, 637699, 669649, 715849, 752263, 855709, 859249, 891799, 1107763, 1146763, 1189603, 1191079, 1201999, 1210369, 1225099, 1416043, 1510189, 1601599, 1893163

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OFFSET

1,1

COMMENTS

Initial members of prime sextuples that correspond to the difference pattern [10, 8, 6, 4, 2]. The primes in a sextuple do not have to be consecutive.

LINKS

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

EXAMPLE

p=13: 13+10=23, 13+18=31, 13+24=37, 13+28=41, 13+30=43 —> prime sextuple: (13, 23, 31, 37, 41, 43).

MATHEMATICA

Select[Prime[Range[150000]], And @@ PrimeQ[# + {10, 18, 24, 28, 30}] &] (* Amiram Eldar, Jul 09 2025 *)

CROSSREFS

Cf. A000040.

Cf. A187057 [2, 4, 6, 8], A385035 [8, 6, 4, 2], A187058 [2, 4, 6, 8, 10].

Sequence in context: A132233 A282322 A031382 * A187677 A082040 A106734

Adjacent sequences: A385821 A385822 A385823 * A385825 A385826 A385827

KEYWORD

nonn

AUTHOR

Alexander Yutkin, Jul 09 2025

STATUS

approved