# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/

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%I A057850 #35 Nov 17 2024 20:35:17
%S A057850 5381,52711,648391,2269733,9737333,17624813,37139213,50728129,
%T A057850 77557187,131807699,174440041,259336153,326851121,368345293,440817757,
%U A057850 563167303,718064159,751783477,997525853,1107276647,1170710369,1367161723
%N A057850 Primes p whose order of primeness A078442(p) is at least 8.
%C A057850 Union of A058325-A058328, A093046 etc. - _R. J. Mathar_, Jul 07 2012
%H A057850 Robert G. Wilson v, <a href="/A057850/b057850.txt">Table of n, a(n) for n = 1..11457</a>
%H A057850 R. G. Batchko, <a href="http://arxiv.org/abs/1405.2900">A prime fractal and global quasi-self-similar structure in the distribution of prime-indexed primes</a>, arXiv preprint arXiv:1405.2900 [math.GM], 2014.
%H A057850 N. Fernandez, <a href="http://www.borve.org/primeness/FOP.html">An order of primeness, F(p)</a>
%H A057850 N. Fernandez, <a href="/A006450/a006450.html">An order of primeness</a> [cached copy, included with permission of the author]
%F A057850 a(n) = A049090(A049090(n)). - _James G. Merickel_, Feb 14 2010
%F A057850 a(n) = A000040(A057849(n)). - _R. J. Mathar_, Jul 07 2012
%t A057850 Nest[ Prime, Range[35], 8] (* _Robert G. Wilson v_, Mar 15 2004 *)
%o A057850 (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
%Y A057850 Cf. A078442, A000040, A006450, A038580, A049090, A049203, A049202, A057849, A057851, A057847, A058332, A093047.
%K A057850 nonn
%O A057850 1,1
%A A057850 _Robert G. Wilson v_, Nov 10 2000
%E A057850 Name clarified by _Andrew Howroyd_, Nov 17 2024

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