A167134 Primes congruent to {2, 3, 5, 7} mod 11.

2, 3, 5, 7, 13, 29, 47, 71, 73, 79, 101, 113, 137, 139, 157, 167, 179, 181, 211, 223, 227, 233, 269, 271, 277, 293, 311, 313, 337, 359, 379, 401, 409, 421, 431, 443, 467, 487, 491, 509, 541, 557, 563, 577, 599, 601, 607, 619, 641, 643, 673, 709, 733, 739, 751

Offset

1,1

Comments

Primes p such that p mod 11 is prime.

Primes of the form 11*n+r where n >= 0 and r is in {2, 3, 5, 7}.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Mathematica

Select[Prime[Range[600]], MemberQ[{2, 3, 5, 7}, Mod[#, 11]]&] (* Vincenzo Librandi, Aug 05 2012 *)

Prog

(Magma) [ p: p in PrimesUpTo(760) | p mod 11 in {2, 3, 5, 7} ];
[ p: p in PrimesUpTo(760) | exists(t){ n: n in [0..p div 11] | exists(u){ r: r in {2, 3, 5, 7} | p eq (11*n+r) } } ];

Crossrefs

Cf. A003627, A045326, A003631, A045309, A045314, A042987, A078403, A042993, A167134, A167135, A167119: primes p such that p mod k is prime, for k = 3..13 resp.

Sequence in context: A172508 A272107 A227880 * A071905 A306317 A359483

Adjacent sequences: A167131 A167132 A167133 * A167135 A167136 A167137

Keyword

nonn,easy

Author

Klaus Brockhaus, Oct 28 2009

Status

approved