A382970 Numbers k such that {k, k+2, k+6, k+8, k+90, k+92, k+96, k+98} are all prime.

11, 101, 15641, 3512981, 6655541, 20769311, 26919791, 41487071, 71541641, 160471601, 189425981, 236531921, 338030591, 409952351, 423685721, 431343461, 518137091, 543062621, 588273221, 637272191, 639387311, 647851571, 705497951, 726391571, 843404201, 895161341, 958438751, 960813851, 964812461, 985123961

Offset

1,1

Comments

Each term is the initial member of two prime quadruples (A007530) with a difference of 90, the second-smallest possible distance between prime quadruples (A059925 has the smallest).

Links

Table of n, a(n) for n=1..30.

Formula

a(n) == 11 (mod 30).

Example

a(1) corresponds to the set of primes {11,13,17,19,101,103,107,109} and a(2) corresponds to {101,103,107,109,191,193,197,199}.

Prog

(MATLAB) find(corr([1 1 0 1 1 zeros(1, 40) 1 1 0 1 1], isprime(3:2:1e8))>7.5)*2-97

Crossrefs

Subsequence of A128467.

Cf. A007530, A059925.

Sequence in context: A082620 A199304 A156668 * A103992 A185949 A001387

Adjacent sequences: A382967 A382968 A382969 * A382971 A382972 A382973

Keyword

nonn

Author

David Mellinger, Apr 10 2025

Status

approved