login
Primes congruent to 11 mod 59.
3

%I #13 Sep 08 2022 08:45:37

%S 11,601,719,1427,1663,2017,2371,2843,3079,3433,4259,4967,5557,6029,

%T 6619,6737,7681,8389,8861,9923,10159,10513,10631,10867,12401,12637,

%U 13109,13463,14407,14879,15233,15823,16649,17239,18301,18773,19009,19717,20071,20543

%N Primes congruent to 11 mod 59.

%H Vincenzo Librandi, <a href="/A142738/b142738.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 58n log n. - _Charles R Greathouse IV_, Jul 02 2016

%t Select[Range[11, 30000, 118], PrimeQ] (* _Vladimir Joseph Stephan Orlovsky_, Jul 15 2011 *)

%t Select[Prime[Range[2500]], MemberQ[{11}, Mod[#, 59]] &] (* _Vincenzo Librandi_, Sep 02 2012 *)

%o (Magma) [p: p in PrimesUpTo(21000) | p mod 59 eq 11 ]; // _Vincenzo Librandi_, Sep 02 2012

%o (PARI) is(n)=isprime(n) && n%59==11 \\ _Charles R Greathouse IV_, Jul 02 2016

%Y Cf. A000040, A142730, A142732, A142734.

%K nonn,easy

%O 1,1

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