A136051 Primes p such that 5*p-4 is also prime.

3, 7, 13, 31, 37, 43, 67, 109, 127, 139, 151, 163, 199, 211, 241, 277, 307, 349, 367, 373, 433, 457, 463, 547, 571, 601, 613, 661, 673, 709, 727, 739, 787, 811, 823, 853, 919, 967, 991, 1021, 1087, 1117, 1129, 1171, 1231, 1291, 1297, 1399, 1471, 1483, 1549

Offset: 1

Author

Artur Jasinski, Dec 12 2007

Keywords

• nonn

Comments

Previous name: Daughter primes of order 2.

For daughter primes of order 1 see A088878. For smallest daughter primes of order n see A136019 (also definition).

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A088878, A091180, A136019, A136020, A136052, A136053, A136054, A136055, A136056, A136057, A136058, A136059, A136060.

Programs

Mathematica

n = 2; a = {}; Do[If[PrimeQ[(Prime[k] + 2n)/(2n + 1)], AppendTo[a, (Prime[k] + 2n)/(2n + 1)]], {k, 1, 1500}]; a
(* Second program: *)
Select[Prime@ Range@ 250, PrimeQ[5 # - 4] &] (* Michael De Vlieger, Aug 04 2017 *)

PARI

lista(nn) = forprime(p=2, nn, if (isprime(5*p-4), print1(p, ", ")))

Extensions

New name from Michel Marcus, Aug 04 2017