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Primes congruent to {3, 5, 6} mod 11.
2

%I #9 Sep 08 2022 08:46:03

%S 3,5,17,47,61,71,83,113,127,137,149,157,179,181,193,223,269,281,311,

%T 313,347,379,401,421,443,457,467,479,487,509,523,577,599,619,641,643,

%U 677,709,743,751,773,787,797,809,839,853,863,883,907,919,929,941,971

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

%H Vincenzo Librandi, <a href="/A215106/b215106.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ (10/3) n log n. - _Charles R Greathouse IV_, Sep 28 2015

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

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

%o (PARI) is(n)=isprime(n) && (n%11==3 || n%11==5 || n%11==6) \\ _Charles R Greathouse IV_, Sep 28 2015

%Y Cf. A000040, A003625.

%K nonn

%O 1,1

%A _Vincenzo Librandi_, Aug 04 2012