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Primes congruent to 7 mod 53.
1

%I #11 Feb 27 2023 10:25:35

%S 7,113,431,643,1279,1597,2339,2551,2657,3187,3823,3929,5413,5519,6367,

%T 6473,6791,7109,7321,7639,8699,9547,10289,10501,10607,11243,12197,

%U 12409,13151,13469,13681,13999,14423,14741,15271,15377,15907,16649,17497,17921,18133

%N Primes congruent to 7 mod 53.

%H Vincenzo Librandi, <a href="/A142537/b142537.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[{7}, Mod[#, 53]] &] (* _Vincenzo Librandi_, Aug 29 2012 *)

%t Select[Range[7,20000,53],PrimeQ] (* _Harvey P. Dale_, Feb 27 2023 *)

%o (Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 7]; // _Vincenzo Librandi_, Aug 29 2012

%o (PARI) is(n)=isprime(n) && n%53==7 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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