A319230 Triple prime Fibonacci numbers: Fibonacci numbers f such that (1) f is prime, (2) f's index is prime, and (3) the sum of f's digits is prime.
2, 5, 89, 514229, 433494437, 2971215073, 3061719992484545030554313848083717208111285432353738497131674799321571238149015933442805665949
Offset: 1
Examples
514229 is prime; it is the 29th Fibonacci number and 29 is prime; and the sum of its digits is 23 and 23 is prime.
Programs
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Mathematica
Select[With[{nn=2000},Pick[Fibonacci[Range[nn]],PrimeQ[Range[nn]]]],PrimeQ[#] && PrimeQ[ Total[ IntegerDigits[#]]]&]
Comments