A268612 Primes p such that p + 2 k, for k = 1..7 are squarefree.

29, 83, 101, 191, 227, 389, 443, 479, 587, 641, 659, 677, 983, 1091, 1109, 1289, 1307, 1451, 1487, 2027, 2081, 2153, 2243, 2333, 2351, 2441, 2459, 2477, 2549, 2657, 2729, 2837, 2909, 2927, 2999, 3089, 3251, 3359, 3449, 3557, 3593, 4007

Offset

1,1

Comments

Eight consecutive odd numbers starting with p are squarefree.

This is the longest set as p+16 in all cases is divisible by 9.

All terms are congruent to 11 mod 18.

Links

Zak Seidov, Table of n, a(n) for n = 1..1592

Mathematica

Select[Prime[Range[600]], AllTrue[#+2*Range[7], SquareFreeQ]&] (* Harvey P. Dale, Oct 19 2022 *)

Prog

(Magma) [p: p in PrimesUpTo(4500) | forall{k: k in [1..7] | IsSquarefree(p+2*k)}]; // Vincenzo Librandi, Feb 09 2016

Crossrefs

Cf. A049097, A049233.

Sequence in context: A141930 A153680 A097722 * A156784 A142592 A343683

Adjacent sequences: A268609 A268610 A268611 * A268613 A268614 A268615

Keyword

nonn

Author

Zak Seidov, Feb 08 2016

Status

approved