I was wondering if a Smith number can be a Lucas Carmichael number.


Is there a proof that there is no such number?


If there is such a number, can you tell me it and how you got it?


I have written a brute force program and so far I have found no such number between 1 and 1,000,000. 


Thanks, Remy



Can a Lucas Carmichael number also be a Smith number?
Here are all numbers below $10^9$ that are both Smith and Lucas-Carmichael:


8164079, 8421335, 21408695, 30071327, 47324639, 77350559, 103727519, 121538879, 134151479, 202767551, 239875559, 287432495, 306871487, 466861199, 560974259, 566019167, 574342145, 592557119, 594633599, 602758079, 677913599, 832477799


UPDATE. These numbers now form <http://oeis.org/A277580>


