A Lucas prime is a Lucas number that is a prime number. The first few are 2, 3, 7, 11, 29, 47, 199, 521, 2207, 3571, ... (OEIS
A005479). The reported indices
of primes or probable
primes Lucas numbers include 
, 2, 4, 5, 7, 8, 11, 13, 16, 17, 19, 31, 37, 41, 47, 53,
61, 71, 79, 113, 313, 353, 503, 613, 617, 863, 1097, 1361, 4787, 4793, 5851, 7741,
8467, 10691, 12251, 13963, 14449, 19469, 35449, 36779, 44507, 51169, 56003, 81671,
89849, 94823, 140057, 148091, 159521, 183089, 193201, 202667, 344293, 387433, 443609,
532277, 574219, 616787, 631181, 637751, 651821, 692147, 901657, 1051849, ... (Dubner
and Keller 1999, Lifchitz and Lifchitz; OEIS A001606).
The larger listed terms include probable primes
whose primality has not been proved.
As of Oct. 2026, the largest Lucas prime listed by The Prime Pages is 
, with 42355 decimal digits,
reported as proved by elliptic curve
primality proving in Nov. 2023. A larger reported Lucas probable
prime is 
,
with 484177 decimal digits (OEIS A001606).
