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A141923 Primes congruent to 19 mod 23. 4

%I #14 Jul 01 2023 11:04:18

%S 19,157,433,479,571,617,709,1031,1123,1307,1399,1583,1721,1951,1997,

%T 2089,2273,2411,2503,2549,2687,2917,2963,3331,3469,3607,3929,4021,

%U 4159,4297,4481,4987,5171,5309,5861,5953,6091,6229,6367,6551,6689,6781,6827,7057

%N Primes congruent to 19 mod 23.

%H Vincenzo Librandi, <a href="/A141923/b141923.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 22n log n. - _Charles R Greathouse IV_, Jul 02 2016

%t Select[Range[19,20000,23],PrimeQ] (* _Vladimir Joseph Stephan Orlovsky_, May 18 2011 *)

%t Select[Prime[Range[1000]],Mod[#,23]==19&] (* _Harvey P. Dale_, Jul 01 2023 *)

%o (Magma) [p: p in PrimesUpTo(9000) | p mod 23 eq 19 ]; // _Vincenzo Librandi_, Aug 16 2012

%o (PARI) is(n)=isprime(n) && n%23==19 \\ _Charles R Greathouse IV_, Jul 02 2016

%Y Cf. A000040, A141924, A141925, A141926.

%K nonn,easy

%O 1,1

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

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Last modified September 9 22:43 EDT 2024. Contains 375765 sequences. (Running on oeis4.)