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A318554
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a(n) is the smallest prime number having order of primeness = prime(n).
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0
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OFFSET
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1,1
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COMMENTS
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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).
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LINKS
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FORMULA
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EXAMPLE
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The sequence of primes with order of primeness F(p) = prime(1) = 2 begins 3,17,41,67,...
so a(1)=3. Likewise, F(p) = prime(2) = 3 begins 5,59,179,... so a(2)=5.
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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