A142531 Primes congruent to 51 mod 52.

103, 311, 467, 571, 727, 883, 1039, 1091, 1559, 1663, 1871, 2027, 2131, 2287, 2339, 2963, 3067, 3119, 3691, 3847, 4003, 4159, 4211, 4523, 4679, 4783, 5147, 5303, 5407, 5563, 5927, 6343, 6551, 6863, 6967, 7019, 7331, 7487, 7591, 7643, 8059, 8111, 8423, 8527

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A000040.

Programs

Magma

[p: p in PrimesUpTo(10000) | p mod 52 eq 51]; // Vincenzo Librandi, Aug 29 2012

Mathematica

Select[Prime[Range[1300]], MemberQ[{51}, Mod[#, 52]] &] (* Vincenzo Librandi, Aug 29 2012 *)
Select[Range[51,9000,52],PrimeQ] (* Harvey P. Dale, Apr 18 2019 *)

PARI

is(n)=isprime(n) && n%52==51 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 24n log n. - Charles R Greathouse IV, Jul 03 2016