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Primes congruent to 2 mod 53.
2

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

%S 2,373,479,691,797,1009,1327,1433,2069,2281,2917,3023,3659,4507,4931,

%T 5779,6203,6521,6733,7369,7687,7793,8111,8429,8641,8747,9277,10337,

%U 10867,10973,11503,11821,11927,12457,13093,13411,13729,14153,14683,15107,15319,16061

%N Primes congruent to 2 mod 53.

%H Vincenzo Librandi, <a href="/A142532/b142532.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[{2}, Mod[#, 53]] &] (* _Vincenzo Librandi_, Aug 29 2012 *)

%t Select[Range[2,17000,53],PrimeQ] (* _Harvey P. Dale_, Mar 31 2018 *)

%o (Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 2]; // _Vincenzo Librandi_, Aug 29 2012

%o (PARI) is(n)=isprime(n) && n%53==2 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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