A142581 Primes congruent to 51 mod 53.

157, 263, 1217, 1429, 1747, 2383, 3019, 3761, 4079, 4397, 5351, 5563, 5669, 5881, 5987, 6199, 7577, 7789, 8849, 9697, 9803, 10333, 10651, 11287, 11393, 11923, 12241, 12347, 12983, 13513, 13619, 13831, 14149, 14891, 15527, 15739, 16057, 16481, 16693, 17011

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[{51}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 30 2012 *)
Select[Range[51, 18000, 53], PrimeQ] (* Harvey P. Dale, Dec 23 2023 *)

Prog

(Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 51]; // Vincenzo Librandi, Aug 30 2012
(PARI) is(n)=isprime(n) && n%53==51 \\ Charles R Greathouse IV, Jul 04 2016

Crossrefs

Cf. A000040.

Sequence in context: A275317 A303094 A001837 * A140625 A142874 A346431

Adjacent sequences: A142578 A142579 A142580 * A142582 A142583 A142584

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved