A142551 Primes congruent to 21 mod 53.

127, 233, 1187, 1399, 1823, 2141, 2459, 2671, 2777, 3307, 3413, 3943, 4049, 4261, 5003, 5639, 5851, 6911, 7229, 7547, 7759, 8501, 8713, 8819, 9137, 9349, 10091, 10303, 10939, 11257, 11681, 12211, 12953, 13907, 14437, 14543, 15073, 15391, 15497, 16451, 16981

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 04 2016

Mathematica

Select[Prime[Range[2600]], MemberQ[{21}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 30 2012 *)
Select[Range[21, 17000, 53], PrimeQ] (* Harvey P. Dale, May 11 2022 *)

Prog

(Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 21]; // Vincenzo Librandi, Aug 30 2012
(PARI) is(n)=isprime(n) && n%53==21 \\ Charles R Greathouse IV, Jul 04 2016

Crossrefs

Cf. A000040.

Sequence in context: A142466 A268860 A142491 * A048453 A276495 A196657

Adjacent sequences: A142548 A142549 A142550 * A142552 A142553 A142554

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved