A215106 Primes congruent to {3, 5, 6} mod 11.

3, 5, 17, 47, 61, 71, 83, 113, 127, 137, 149, 157, 179, 181, 193, 223, 269, 281, 311, 313, 347, 379, 401, 421, 443, 457, 467, 479, 487, 509, 523, 577, 599, 619, 641, 643, 677, 709, 743, 751, 773, 787, 797, 809, 839, 853, 863, 883, 907, 919, 929, 941, 971

Offset: 1

Author

Vincenzo Librandi, Aug 04 2012

Keywords

• nonn

Links

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

Crossrefs

Cf. A000040, A003625.

Programs

Magma

[p: p in PrimesUpTo(1500) | p mod 11 in [3, 5, 6]];

Mathematica

Select[Prime[Range[800]],MemberQ[{3, 5, 6},Mod[#,11]]&]

PARI

is(n)=isprime(n) && (n%11==3 || n%11==5 || n%11==6) \\ Charles R Greathouse IV, Sep 28 2015

Formula

a(n) ~ (10/3) n log n. - Charles R Greathouse IV, Sep 28 2015