A057850 Primes p whose order of primeness A078442(p) is at least 8.

5381, 52711, 648391, 2269733, 9737333, 17624813, 37139213, 50728129, 77557187, 131807699, 174440041, 259336153, 326851121, 368345293, 440817757, 563167303, 718064159, 751783477, 997525853, 1107276647, 1170710369, 1367161723

Offset

1,1

Comments

Union of A058325-A058328, A093046 etc. - R. J. Mathar, Jul 07 2012

Links

Robert G. Wilson v, Table of n, a(n) for n = 1..11457

R. G. Batchko, A prime fractal and global quasi-self-similar structure in the distribution of prime-indexed primes, arXiv preprint arXiv:1405.2900 [math.GM], 2014.

N. Fernandez, An order of primeness, F(p)

N. Fernandez, An order of primeness [cached copy, included with permission of the author]

Formula

a(n) = A049090(A049090(n)). - James G. Merickel, Feb 14 2010

a(n) = A000040(A057849(n)). - R. J. Mathar, Jul 07 2012

Mathematica

Nest[ Prime, Range[35], 8] (* Robert G. Wilson v, Mar 15 2004 *)

Prog

(PARI) list(lim)=my(v=List(), q, r, s, t, u, vv, w); forprime(p=2, lim, if(isprime(q++) && isprime(r++) && isprime(s++) && isprime(t++) && isprime(u++) && isprime(vv++) && isprime(w++), listput(v, p))); Vec(v) \\ Charles R Greathouse IV, Feb 19 2017

Crossrefs

Cf. A078442, A000040, A006450, A038580, A049090, A049203, A049202, A057849, A057851, A057847, A058332, A093047.

Sequence in context: A237295 A296146 A063408 * A058325 A224688 A335936

Adjacent sequences: A057847 A057848 A057849 * A057851 A057852 A057853

Keyword

nonn

Author

Robert G. Wilson v, Nov 10 2000

Extensions

Name clarified by Andrew Howroyd, Nov 17 2024

Status

approved