| Abstract: | Extending previous searches for prime Fibonacci and Lucas numbers, all probable prime Fibonacci numbers  have been determined for  and all probable prime Lucas numbers  have been determined for  . A rigorous proof of primality is given for  and for numbers  with  ,  ,  ,  ,  ,  ,  ,  , the prime  having 3020 digits. Primitive parts  and  of composite numbers  and  have also been tested for probable primality. Actual primality has been established for many of them, including 22 with more than 1000 digits. In a Supplement to the paper, factorizations of numbers  and  are given for  as far as they have been completed, adding information to existing factor tables covering  . |
