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Primes congruent to 18 mod 53.
1

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

%S 71,283,389,601,919,1237,1873,1979,2297,3251,3463,4099,4523,5477,5689,

%T 6007,6113,6961,7703,8233,9187,9293,9929,10141,10247,10459,10883,

%U 11519,11731,12049,12473,12791,13003,13109,14593,14699,15017,15971,16183,16607,17137

%N Primes congruent to 18 mod 53.

%H Vincenzo Librandi, <a href="/A142548/b142548.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[{18}, Mod[#, 53]] &] (* _Vincenzo Librandi_, Aug 29 2012 *)

%t Select[Range[18,18000,53],PrimeQ] (* _Harvey P. Dale_, Aug 23 2019 *)

%o (Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 18]; // _Vincenzo Librandi_, Aug 29 2012

%o (PARI) is(n)=isprime(n) && n%53==18 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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