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A167134 Primes congruent to {2, 3, 5, 7} mod 11. 6
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 (list; graph; refs; listen; history; text; internal format)
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 A067573

Adjacent sequences:  A167131 A167132 A167133 * A167135 A167136 A167137

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Oct 28 2009

STATUS

approved

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Last modified September 22 03:54 EDT 2020. Contains 337289 sequences. (Running on oeis4.)