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Primes congruent to 33 mod 53.
1

%I #12 Sep 08 2022 08:45:36

%S 139,457,563,881,1093,2153,2683,2789,3001,3319,3637,4273,4591,4909,

%T 5227,5333,5651,6287,7559,7877,8089,8513,8831,9043,9467,9679,10103,

%U 10739,11057,11587,12011,12329,12541,12647,13177,14449,14767,16993,17099,17417,18371

%N Primes congruent to 33 mod 53.

%H Vincenzo Librandi, <a href="/A142563/b142563.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[2200]],Mod[#,53]==33&] (* _Harvey P. Dale_, Apr 23 2011 *)

%t Select[Prime[Range[2600]], MemberQ[{33}, Mod[#, 53]] &] (* _Vincenzo Librandi_, Aug 30 2012 *)

%o (Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 33]; // _Vincenzo Librandi_, Aug 30 2012

%o (PARI) is(n)=isprime(n) && n%53==33 \\ _Charles R Greathouse IV_, Jul 04 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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