login
Primes congruent to 37 mod 43.
1

%I #15 Sep 08 2022 08:45:36

%S 37,467,811,983,1069,1327,1499,2273,2531,2617,2789,3391,3821,3907,

%T 4079,4337,4423,5197,6143,6229,6659,6917,7433,7691,7949,8293,9067,

%U 9239,9497,10099,10271,10357,10529,11131,12163,12421,13109,13367,13711,13883,14657

%N Primes congruent to 37 mod 43.

%H Vincenzo Librandi, <a href="/A142286/b142286.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[3000]],Mod[#,43]==37&] (* _Harvey P. Dale_, Mar 06 2011 *)

%t Select[Prime[Range[5000]],MemberQ[{37},Mod[#,43]]&] (* _Vincenzo Librandi_, Aug 25 2012 *)

%o (Magma) [p: p in PrimesUpTo(16000) | p mod 43 eq 37 ]; // _Vincenzo Librandi_, Aug 25 2012

%o (PARI) is(n)=isprime(n) && n%43==37 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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