A142789 - OEIS

%I #11 Sep 08 2022 08:45:37

%S 19,79,139,199,379,439,499,619,739,859,919,1039,1279,1399,1459,1579,

%T 1699,1759,1879,1999,2179,2239,2539,2659,2719,3019,3079,3259,3319,

%U 3499,3559,3739,3919,4099,4159,4219,4339,4519,4639,4759,4999,5059,5119,5179,5419

%N Primes congruent to 19 mod 60.

%H Vincenzo Librandi, <a href="/A142789/b142789.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 16n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[800]], MemberQ[{19}, Mod[#, 60]] &] (* _Vincenzo Librandi_, Sep 04 2012 *)

%t Select[Range[19,5500,60],PrimeQ] (* _Harvey P. Dale_, Sep 17 2020 *)

%o (Magma) [p: p in PrimesUpTo(6000) | p mod 60 eq 19 ]; // _Vincenzo Librandi_, Sep 04 2012

%o (PARI) is(n)=isprime(n) && n%60==19 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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