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

1,1

Comments

a(8) = A000045(104911) has 21925 decimal digits. - Alois P. Heinz, Sep 17 2018

Links

Table of n, a(n) for n=1..7.

Formula

a(n) = A000045(A319393(n)).

Example

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.

Mathematica

Select[With[{nn=2000}, Pick[Fibonacci[Range[nn]], PrimeQ[Range[nn]]]], PrimeQ[#] && PrimeQ[ Total[ IntegerDigits[#]]]&]

Crossrefs

Cf. A000045, A001605, A005478, A007953, A075737, A319393. Subsequence of A111331.

Sequence in context: A023272 A057978 A093308 * A215797 A262325 A290871

Adjacent sequences: A319227 A319228 A319229 * A319231 A319232 A319233

Keyword

nonn,base

Author

Harvey P. Dale, Sep 14 2018

Status

approved