A142419 - OEIS

%I #11 Sep 08 2022 08:45:36

%S 251,349,643,839,937,1231,1427,1721,2113,2309,2897,3191,3583,3779,

%T 3877,4073,4759,5347,5641,6131,6229,6719,7013,7307,7699,7993,8287,

%U 8581,9463,10247,10639,11423,11717,12011,12109,12697,12893,13187,13873,14461,14657

%N Primes congruent to 6 mod 49.

%H Vincenzo Librandi, <a href="/A142419/b142419.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 42n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[2500]], MemberQ[{6}, Mod[#, 49]] &] (* _Vincenzo Librandi_, Aug 27 2012 *)

%t Select[Range[6,15000,49],PrimeQ] (* _Harvey P. Dale_, Oct 23 2015 *)

%o (Magma) [p: p in PrimesUpTo(16000) | p mod 49 eq 6]; // _Vincenzo Librandi_, Aug 27 2012

%o (PARI) is(n)=isprime(n) && n%49==6 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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