A142546 Primes congruent to 16 mod 53.

281, 599, 811, 1129, 1447, 1553, 1871, 2083, 2719, 3037, 3461, 3673, 3779, 4733, 5051, 5581, 6217, 6323, 6959, 7489, 8231, 8443, 8761, 8867, 9397, 10139, 10457, 10987, 11093, 11411, 11941, 12577, 13001, 14591, 15121, 15227, 15439, 17029, 18089, 18301, 19891

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Formula

a(n) ~ 52n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[2600]], MemberQ[{16}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 29 2012 *)
Select[Range[16, 20000, 53], PrimeQ] (* Harvey P. Dale, Dec 16 2019 *)

Prog

(Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 16]; // Vincenzo Librandi, Aug 29 2012
(PARI) is(n)=isprime(n) && n%53==16 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A098677 A056215 A142397 * A163184 A122710 A161191

Adjacent sequences: A142543 A142544 A142545 * A142547 A142548 A142549

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved