A104284 Primes which are the concatenation of three consecutive Fibonacci numbers.

5813, 113490317018363119032971215073, 73088059522214431050203554901182589644787183497642906842719134702400093278081449423917, 75779161866773113924763137210006612261325953941882930001747020959951983924214061919432247806074196061

Offset

1,1

Links

Table of n, a(n) for n=1..4.

Mohammad K. Azarian, Counting Sums of Nonnegative Integers, Problem H-678, Fibonacci Quarterly, Vol. 46/47, No. 4, November 2008/2009, p. 374; Solution, published in Vol. 48, No. 4, November 2010, pp. 376-377.

Example

The first term is 5813 which is a prime and is the concatenation of 5,8 and 13 which are three consecutive Fibonacci numbers.

Mathematica

Select[FromDigits[Flatten[IntegerDigits/@#]]&/@Partition[ Fibonacci[ Range[250]], 3, 1], PrimeQ] (* Harvey P. Dale, Jul 04 2012 *)

Crossrefs

Cf. A000045.

Sequence in context: A270866 A251920 A348821 * A237477 A131494 A234804

Adjacent sequences: A104281 A104282 A104283 * A104285 A104286 A104287

Keyword

base,nonn

Author

Shyam Sunder Gupta, Apr 17 2005

Status

approved