A023282 Primes that remain prime through 3 iterations of function f(x) = 4x + 9.

71, 97, 103, 263, 883, 907, 1747, 1867, 2251, 2281, 2693, 2791, 2857, 3067, 3541, 4073, 4513, 4597, 4663, 4793, 6047, 6971, 6983, 8761, 9091, 9203, 9311, 9377, 10343, 11131, 11437, 12037, 12107, 12401, 13451, 13627, 14887, 15881, 16217, 16301, 16493, 16871

Offset: 1

Author

David W. Wilson

Keywords

• nonn

Comments

Primes p such that 4*p+9, 16*p+45 and 64*p+189 are also primes. - Vincenzo Librandi, Aug 04 2010

Links

• John Cerkan, Table of n, a(n) for n = 1..10000

Crossrefs

Subsequence of A023216, A023251, and of A111199.

Programs

Magma

[n: n in [1..150000] | IsPrime(n) and IsPrime(4*n+9) and IsPrime(16*n+45) and IsPrime(64*n+189)] // Vincenzo Librandi, Aug 04 2010

Mathematica

Select[Prime@ Range@ 2100, Times @@ Boole@ PrimeQ@ Rest@ NestList[4 # + 9 &, #, 3] > 0 &] (* Michael De Vlieger, Sep 20 2016 *)