A142311 - OEIS

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

%S 43,131,263,307,439,571,659,967,1187,1231,1319,1451,1583,1627,1759,

%T 1847,1979,2111,2243,2287,2551,2683,2903,3079,3167,3299,3343,3607,

%U 3739,4003,4091,4663,4751,5059,5147,5279,5323,5807,5851,5939,6203,6247,6379,6599

%N Primes congruent to 43 mod 44.

%H Vincenzo Librandi, <a href="/A142311/b142311.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 20n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[2500]],MemberQ[{43},Mod[#,44]]&] (* _Vincenzo Librandi_, Aug 25 2012 *)

%t Select[Range[43,7000,44],PrimeQ] (* _Harvey P. Dale_, Sep 09 2019 *)

%o (Magma) [p: p in PrimesUpTo(8000) | p mod 44 eq 43]; // _Vincenzo Librandi_, Aug 25 2012

%o (PARI) is(n)=isprime(n) && n%44==43 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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