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

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

Offset: 1

Author

Stefan Steinerberger, Nov 05 2005

Keywords

• base
• hard
• nonn

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

Examples

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

Crossrefs

Cf. A065398, A051694, A051694, A067515.

Programs

Mathematica

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