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%I #13 Nov 02 2018 06:42:29
%S 3,5,31,709,9737333,3657500101,2586559730396077,4123221751654370051,
%T 28785866289100396890228041
%N a(n) is the smallest prime number having order of primeness = prime(n).
%C Let F(k) denote A049076(k). The list of primes p such that F(p) = n begins with q, the smallest prime to have prime index in each of n-1 successive primeth iterations, finally taking nonprime index 1 at the n-th iteration. All other members p such that F(p) = n are primes > q which also take a nonprime index at the n-th iteration. The reverse sequence of associated indices for q = prime(n) gives successive terms of the primeth recurrence 1,2,3,5,... until reaching A007097(prime(n)) = a(n).
%H N. Fernandez, <a href="http://www.borve.org/primeness/FOP.html">An order of primeness, F(p)</a>
%H N. Fernandez, <a href="/A006450/a006450.html">An order of primeness</a> [cached copy, included with permission of the author]
%F a(n) = A007097(prime(n)); n >= 1.
%e The sequence of primes with order of primeness F(p) = prime(1) = 2 begins 3,17,41,67,...
%e so a(1)=3. Likewise, F(p) = prime(2) = 3 begins 5,59,179,... so a(2)=5.
%Y Cf. A000040, A006450, A007097, A049076, A049078, A049079, A049081.
%K nonn,more
%O 1,1
%A _David James Sycamore_, Aug 27 2018
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