A057849 Primes p whose order of primeness A078442(p) is at least 7.

709, 5381, 52711, 167449, 648391, 1128889, 2269733, 3042161, 4535189, 7474967, 9737333, 14161729, 17624813, 19734581, 23391799, 29499439, 37139213, 38790341, 50728129, 56011909, 59053067, 68425619, 77557187, 87019979, 101146501, 113256643, 119535373, 127065427

Offset: 1

Author

Robert G. Wilson v, Nov 10 2000

Keywords

• nonn

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Robert G. Wilson v)
• 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, A057850, A057851, A057847, A058332, A093047.

Programs

Maple

a:= ithprime@@7;
seq(a(n), n=1..30);  # Alois P. Heinz, Jun 14 2015

Mathematica

Nest[ Prime, Range[35], 7] (* Robert G. Wilson v, Mar 15 2004 *)

PARI

list(lim)=my(v=List(), q, r, s, t, u, vv); forprime(p=2, lim, if(isprime(q++) && isprime(r++) && isprime(s++) && isprime(t++) && isprime(u++) && isprime(vv++), listput(v, p))); Vec(v) \\ Charles R Greathouse IV, Feb 16 2017

Extensions

Name clarified by Andrew Howroyd, Nov 17 2024