A111331 Prime Fibonacci numbers whose digits in base 10 sum up to a prime.

2, 3, 5, 89, 514229, 433494437, 2971215073, 3061719992484545030554313848083717208111285432353738497131674799321571238149015933442805665949

Offset

1,1

Comments

Fibonacci(104911) is the next (probable) prime whose digits sum to a prime. Thus the next term would be 21925 digits long. - Hans Havermann, Nov 06 2005

Links

Table of n, a(n) for n=1..8.

Example

514229 is a prime Fibonacci number and the sum of the digits 5 + 1 + 4 + 2 + 2 + 9 = 23 is also a prime.

Mathematica

Select[Fibonacci[Range[1000]], PrimeQ[#]&&PrimeQ[Total[IntegerDigits[#]]]&] (* James C. McMahon, May 31 2024 *)

Crossrefs

Cf. A065398, A051694, A051694, A067515.

Sequence in context: A155011 A065406 A375781 * A205668 A118505 A067799

Adjacent sequences: A111328 A111329 A111330 * A111332 A111333 A111334

Keyword

base,hard,nonn

Author

Stefan Steinerberger, Nov 05 2005

Status

approved