A141281 Primes p such that p-6^4, p-6^3, p-6^2, p-6, p, p+6, p+6^2, p+6^3 and p+6^4 are primes.

11459317, 18726137, 73718633, 181975727, 361471043, 374195537, 419533753, 420522673, 428739323, 429198703, 456975157, 483576523, 544795393, 653578573, 682118777, 703313623, 753422317, 764967257, 797492477, 960985037, 1059913073

Offset

1,1

Comments

Subsequence of A006489, A141279 and A141280. Each term is congruent to 1 or 10 mod 11 so for no prime p can this pattern be extended also to include primes p-6^5 and p+6^5 (one of them is divisible by 11). See A070392 for residues mod 11 of powers of 6. As each term of A006489 greater than 11 is congruent to 3 or 7 mod 10, combining results gives that a(n) is congruent to 23, 43, 67, or 87 mod 110.

Links

Rick L. Shepherd, Table of n, a(n) for n = 1..55

Mathematica

Select[Prime[Range[53734400]], AllTrue[#+{1296, 216, 36, 6, -6, -36, -216, -1296}, PrimeQ]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Apr 01 2021 *)

Crossrefs

Cf. A006489, A141279, A141280, A141282, A070392.

Sequence in context: A323331 A072142 A043674 * A028241 A248166 A234070

Adjacent sequences: A141278 A141279 A141280 * A141282 A141283 A141284

Keyword

nonn

Author

Rick L. Shepherd, Jun 22 2008

Status

approved