A076564 List of numbers k such that the k-th Fibonacci number (A000045) does not contain the digit zero.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 22, 23, 24, 26, 27, 28, 29, 31, 33, 35, 37, 39, 42, 43, 53, 54, 55, 56, 57, 58, 78, 80, 85, 87, 97, 125, 184

Offset: 1

Author

Robert G. Wilson v, Oct 19 2002

Keywords

• nonn
• base

Comments

Probably finite, and probably 184 is the last term. No further terms below 10000. - N. J. A. Sloane, Dec 13 2019

References

• A. Altassan and F. Luca, On a curious property of F_{184}, Fib. Q., 57:4 (2019), 363-365.

Links

• Shyam Sunder Gupta, Can You Find no. 9

Crossrefs

Cf. A000045, A246558.

Programs

Mathematica

Select[ Range[50000], Union[ IntegerDigits[ Fibonacci[ # ]]] [[1]] != 0 & ]
Select[Range[200],DigitCount[Fibonacci[#],10,0]==0&] (* Harvey P. Dale, May 15 2019 *)

PARI

isok(k) = #select(x->(x==0), digits(fibonacci(k))) == 0;
select(isok, [1..1000]) \\ Michel Marcus, Feb 11 2025