The On-Line Encyclopedia of Integer Sequences (OEIS)

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A167134

Primes congruent to {2, 3, 5, 7} mod 11.
(history; published version)

#6 by Charles R Greathouse IV at Thu Sep 08 08:45:48 EDT 2022

PROG

(MAGMAMagma) [ p: p in PrimesUpTo(760) | p mod 11 in {2, 3, 5, 7} ];

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#5 by Joerg Arndt at Sun Aug 05 08:03:14 EDT 2012

STATUS

proposed

approved

#4 by Vincenzo Librandi at Sun Aug 05 00:49:56 EDT 2012

STATUS

editing

proposed

#3 by Vincenzo Librandi at Sun Aug 05 00:49:46 EDT 2012

LINKS

Vincenzo Librandi, <a href="/A167134/b167134.txt">Table of n, a(n) for n = 1..1000</a>

MATHEMATICA

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

KEYWORD

nonn,easy

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 17:28:04 EDT 2012

AUTHOR

_Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), _, Oct 28 2009

Discussion

Fri Mar 30

17:28

OEIS Server: https://oeis.org/edit/global/145

#1 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

NAME

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

DATA

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}.

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.

KEYWORD

nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 28 2009

STATUS

approved