A023340 Primes that remain prime through 5 iterations of function f(x) = 4x + 9.

18257, 19541, 22063, 48383, 73037, 73133, 78173, 88261, 93811, 101051, 104537, 152377, 153941, 162343, 168043, 175523, 204251, 211681, 238463, 287341, 375253, 386713, 423961, 659513, 672181, 676103, 688027, 741283, 759491, 770951, 786673

Offset: 1

Author

David W. Wilson

Keywords

• nonn

Comments

Primes p such that 4*p+9, 16*p+45, 64*p+189, 256*p+765 and 1024*p+3069 are also primes. - Vincenzo Librandi, Aug 05 2010

Links

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

Crossrefs

Subsequence of A023216, A023251, A023282, A023312, and A111199.

Programs

Magma

[n: n in [1..10000000] | IsPrime(n) and IsPrime(4*n+9) and IsPrime(16*n+45) and IsPrime(64*n+189) and IsPrime(256*n+765) and IsPrime(1024*n+3069)] // Vincenzo Librandi, Aug 05 2010

PARI

is(n)=isprime(n) && isprime(4*n+9) && isprime(16*n+45) && isprime(64*n+189) && isprime(256*n+765) && isprime(1024*n+3069) \\ Charles R Greathouse IV, Oct 11 2016