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Primes congruent to 23 mod 53.
2

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

%S 23,659,977,1613,1931,2143,3203,3733,4051,4157,4793,5323,5641,6277,

%T 6701,7019,7549,7867,8291,8609,8821,10093,10729,11047,11471,11789,

%U 12107,12637,12743,13591,13697,14969,15287,15817,15923,16453,18043,18149,18679,19421

%N Primes congruent to 23 mod 53.

%H Vincenzo Librandi, <a href="/A142553/b142553.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 52n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[2600]], MemberQ[{23}, Mod[#, 53]] &] (* _Vincenzo Librandi_, Aug 30 2012 *)

%t Select[Range[23,20000,53],PrimeQ] (* _Harvey P. Dale_, Mar 16 2016 *)

%o (Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 23]; // _Vincenzo Librandi_, Aug 30 2012

%o (PARI) is(n)=isprime(n) && n%53==23 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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