OFFSET
1,1
COMMENTS
a(4) = 688846502588399 is the only known Cyclops-Lucas prime.
It seems likely that these four are the only terms. There are no further terms below Lucas(10^7), and that number in decimal contains 208435 zeros (with ~208988 expected assuming normality), whereas a member of this sequence must have only 1. - D. S. McNeil, Dec 21 2010
This sequence is similar to A182809 in the sense that both have four positive terms and the only known prime is also the largest known term. - Omar E. Pol, Dec 21 2010
LINKS
G. L. Honaker, Jr. and Chris K. Caldwell, Prime Curios! 688846502588399
EXAMPLE
a(1) = 64079 is in the sequence because 64079 is a Lucas number and it is also a cyclops number.
MATHEMATICA
(* First run the program given for A134808 *) Select[LucasL[Range[10^3]], cyclopsQ] (* Alonso del Arte, Dec 20 2010 *)
Select[LucasL[Range[500]], OddQ[IntegerLength[#]]&&DigitCount[#, 10, 0]==1&&IntegerDigits[#][[(IntegerLength[#]+1)/2]]==0&] (* Harvey P. Dale, Jul 01 2017 *)
CROSSREFS
KEYWORD
nonn,base,hard,more
AUTHOR
Omar E. Pol, Dec 20 2010
STATUS
approved