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

5813, 113490317018363119032971215073, 73088059522214431050203554901182589644787183497642906842719134702400093278081449423917, 75779161866773113924763137210006612261325953941882930001747020959951983924214061919432247806074196061

Offset: 1

Author

Shyam Sunder Gupta, Apr 17 2005

Keywords

• base
• nonn

Examples

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

Links

• 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.

Crossrefs

Cf. A000045.

Programs

Mathematica

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