The first few Lucas-Carmichael numbers are 399, 935, 2015, 2915, 4991, 5719, 7055, 8855, 12719, 18095, ... (OEIS A006972). The
definition is analogous to Korselt's criterion
for Carmichael numbers, with replacing . There are infinitely many Lucas-Carmichael numbers
(Wright 2018).
Wright, T. "There Are Infinitely Many Elliptic Carmichael Numbers." Bull. London Math. Soc.50, 791-800, 2018. https://doi.org/10.1112/blms.12185.Sloane,
N. J. A. Sequence A006972 in "The
On-Line Encyclopedia of Integer Sequences."
such that 
divides 
for every prime divisor 
of 
. Equivalently,
replacing 
. There are infinitely many Lucas-Carmichael numbers
(Wright 2018).
