A136340 Fibonacci numbers where every digit is a prime.

2, 3, 5, 55, 233, 377

Offset

1,1

Comments

Is this sequence finite?

No more terms < Fibonacci(10^7) ~ 10^2089876.

Links

Table of n, a(n) for n=1..6.

Nathan Egge and Aaron Krowne, List of Fibonacci numbers, Planet Math.

Example

377 is a Fibonacci number in which every digit is a prime.

Prog

(PARI)
{for (n=2, 10^9,
    F = fibonacci(n);  q = 1;
    while ( F, if ( !isprime(F%10), q=0; break() ); F\=10 );
    if ( q, print1(fibonacci(n), ", ") );
    if ( bitand(n, 4095)==0, print([n]) ); /* document how far search went */
); }
(Magma) [ k: n in [1..70000] | forall{ d: d in Intseq(k) | IsPrime(d) } where k is Fibonacci(n) ];

Crossrefs

Cf. A000045.

Sequence in context: A060085 A114370 A114725 * A029961 A083665 A214752

Adjacent sequences: A136337 A136338 A136339 * A136341 A136342 A136343

Keyword

nonn,base,less

Author

Parthasarathy Nambi, Apr 12 2008

Status

approved