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Primes congruent to 37 mod 53.
1

%I #9 Sep 08 2022 08:45:36

%S 37,461,673,991,1097,1627,1733,2687,3217,3323,3853,5231,5443,5867,

%T 6079,6397,7351,7457,7669,8093,8623,8941,10531,11273,11909,12227,

%U 12757,13499,13711,14029,14347,14771,14983,15619,15937,16361,16573,17209,18269,18481

%N Primes congruent to 37 mod 53.

%H Vincenzo Librandi, <a href="/A142567/b142567.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 52n log n. - _Charles R Greathouse IV_, Jul 04 2016

%t Select[Prime[Range[2600]], MemberQ[{37}, Mod[#, 53]] &] (* _Vincenzo Librandi_, Aug 30 2012 *)

%o (Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 37]; // _Vincenzo Librandi_, Aug 30 2012

%o (PARI) is(n)=isprime(n) && n%53==37 \\ _Charles R Greathouse IV_, Jul 04 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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