A142289 - OEIS

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

%S 83,599,857,1201,1373,1459,1889,2663,2749,4211,4297,4813,5501,6361,

%T 6619,6791,7307,7393,7823,8081,8167,8597,8941,9199,9371,9629,9887,

%U 9973,11177,11779,12037,12553,12983,13241,13327,13499,13757,15391,15649,15907,17627

%N Primes congruent to 40 mod 43.

%H Vincenzo Librandi, <a href="/A142289/b142289.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[5000]],MemberQ[{40},Mod[#,43]]&] (* _Vincenzo Librandi_, Aug 25 2012 *)

%t Select[Range[40,20000,43],PrimeQ] (* _Harvey P. Dale_, Mar 22 2015 *)

%o (Magma) [p: p in PrimesUpTo(18000) | p mod 43 eq 40 ]; // _Vincenzo Librandi_, Aug 25 2012

%o (PARI) is(n)=isprime(n) && n%43==40 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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