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

Author

Robert G. Wilson v, Nov 10 2000

Keywords

• nonn

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]

Crossrefs

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

Programs

Mathematica

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

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

Formula

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

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

Extensions

Name clarified by Andrew Howroyd, Nov 17 2024