A142546 - OEIS

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

%S 281,599,811,1129,1447,1553,1871,2083,2719,3037,3461,3673,3779,4733,

%T 5051,5581,6217,6323,6959,7489,8231,8443,8761,8867,9397,10139,10457,

%U 10987,11093,11411,11941,12577,13001,14591,15121,15227,15439,17029,18089,18301,19891

%N Primes congruent to 16 mod 53.

%H Vincenzo Librandi, <a href="/A142546/b142546.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[{16}, Mod[#, 53]] &] (* _Vincenzo Librandi_, Aug 29 2012 *)

%t Select[Range[16,20000,53],PrimeQ] (* _Harvey P. Dale_, Dec 16 2019 *)

%o (Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 16]; // _Vincenzo Librandi_, Aug 29 2012

%o (PARI) is(n)=isprime(n) && n%53==16 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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