A182809 Cyclops-Fibonacci numbers.

0, 75025, 6557470319842, 14472334024676221, 99194853094755497

Offset: 1

Author

Omar E. Pol, Dec 16 2010

Keywords

• nonn
• base
• hard
• more

Comments

Note that a(5) = 99194853094755497 is the only known Cyclops-Fibonacci prime.

Next term, if it exists, is > Fibonacci(2359000). - Lars Blomberg, May 10 2011

This sequence is similar to A182811 in the sense that both have four positive terms and the only known prime is also the largest known term. - Omar E. Pol, Feb 18 2018

Indices in A000045 are 0, 25, 63, 79, 83. - Michel Marcus and Omar E. Pol, Feb 18 2018

Examples

			a(2) = 75025 is in the sequence because 75025 is a Fibonacci number A000045 and 75025 is also a cyclops number A134808.
		

Links

• G. L. Honaker, Jr. and Chris K. Caldwell, Prime Curios! 99194853094755497

Crossrefs

Intersection of A000045 and A134808.

Cf. A134809, A138148, A160717, A182811.

Programs

Mathematica

(* First run the program given for A134808 *) Select[Fibonacci[Range[10^3]], cyclopsQ] (* Alonso del Arte, Dec 16 2010 *)

Extensions

a(4) inserted by Alois P. Heinz, Dec 16 2010