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COMMENT
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a(n) are perfect squares for n = {1,4,5,7,...}. a(8) and a(9) are divisible by 16 = 2^4. Corresponding Fibonacci primes Fibonacci[Prime[Prime[a(n)]]] = {2,5,89,1597,99194853094755497,...} that is a subset of A093308[n]. Corresponding prime indices of Fibonacci primes Prime[Prime[a(n)]] = (3,5,11,17,83,431,509,130021,148091,433781,...}. Corresponding prime indices Prime[a(n)] = {2,3,5,7,23,83,97,12161,13681,36467,...} that are the primes in A119984[n] Numbers n such that Fibonacci[Prime[n]] is prime.
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