# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a182809 Showing 1-1 of 1 %I A182809 #38 Apr 03 2023 10:36:12 %S A182809 0,75025,6557470319842,14472334024676221,99194853094755497 %N A182809 Cyclops-Fibonacci numbers. %C A182809 Note that a(5) = 99194853094755497 is the only known Cyclops-Fibonacci prime. %C A182809 Next term, if it exists, is > Fibonacci(2359000). - _Lars Blomberg_, May 10 2011 %C A182809 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 %C A182809 Indices in A000045 are 0, 25, 63, 79, 83. - _Michel Marcus_ and _Omar E. Pol_, Feb 18 2018 %H A182809 G. L. Honaker, Jr. and Chris K. Caldwell, Prime Curios! 99194853094755497 %e A182809 a(2) = 75025 is in the sequence because 75025 is a Fibonacci number A000045 and 75025 is also a cyclops number A134808. %t A182809 (* First run the program given for A134808 *) Select[Fibonacci[Range[10^3]], cyclopsQ] (* _Alonso del Arte_, Dec 16 2010 *) %Y A182809 Intersection of A000045 and A134808. %Y A182809 Cf. A134809, A138148, A160717, A182811. %K A182809 nonn,base,hard,more %O A182809 1,2 %A A182809 _Omar E. Pol_, Dec 16 2010 %E A182809 a(4) inserted by _Alois P. Heinz_, Dec 16 2010 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE