A142401 - OEIS

%I #12 Sep 08 2022 08:45:36

%S 11,59,107,251,347,443,491,587,683,827,971,1019,1163,1259,1307,1451,

%T 1499,1787,1931,1979,2027,2267,2411,2459,2699,2843,2939,3083,3323,

%U 3371,3467,3659,3803,3851,3947,4091,4139,4283,4523,5003,5051,5099,5147,5387,5483

%N Primes congruent to 11 mod 48.

%H Vincenzo Librandi, <a href="/A142401/b142401.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 16n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[1000]], MemberQ[{11}, Mod[#, 48]] &] (* _Vincenzo Librandi_, Aug 27 2012 *)

%t Select[Range[11,6000,48],PrimeQ] (* _Harvey P. Dale_, Jun 02 2014 *)

%o (Magma) [p: p in PrimesUpTo(6000) | p mod 48 eq 11]; // _Vincenzo Librandi_, Aug 27 2012

%o (PARI) is(n)=isprime(n) && n%48==11 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_, Jul 11 2008