A182809 - OEIS

A182809

Cyclops-Fibonacci numbers.

0, 75025, 6557470319842, 14472334024676221, 99194853094755497

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OFFSET

1,2

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

LINKS

Table of n, a(n) for n=1..5.

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

EXAMPLE

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

MATHEMATICA

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

CROSSREFS

Intersection of A000045 and A134808.

Cf. A134809, A138148, A160717, A182811.

Sequence in context: A179252 A045731 A173207 * A182393 A347848 A204360

Adjacent sequences: A182806 A182807 A182808 * A182810 A182811 A182812

KEYWORD

nonn,base,hard,more

AUTHOR

Omar E. Pol, Dec 16 2010

EXTENSIONS

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

STATUS

approved