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Primes congruent to 42 mod 43.
2

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

%S 257,601,773,859,1031,1117,1289,2063,2579,2837,3181,3697,4127,4643,

%T 4729,4987,5417,5503,6277,6449,6793,7309,7481,8513,8599,9029,9631,

%U 9803,10061,10663,11093,11351,11437,11867,11953,12211,12641,12899,13759,13931,14447

%N Primes congruent to 42 mod 43.

%H Vincenzo Librandi, <a href="/A142291/b142291.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 42n log n. - _Charles R Greathouse IV_, Jul 02 2016

%t Select[Prime[Range[5000]],MemberQ[{42},Mod[#,43]]&] (* _Vincenzo Librandi_; Aug 25 2012 *)

%t Select[Range[42,15000,43],PrimeQ] (* _Harvey P. Dale_, Sep 11 2019 *)

%o (Magma) [p: p in PrimesUpTo(18000) | p mod 43 eq 42 ]; // _Vincenzo Librandi_, Aug 25 2012

%o (PARI) is(n)=isprime(n) && n%43==42 \\ _Charles R Greathouse IV_, Jul 02 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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