Found with PFGW Version 3.6.0

2027^4598-4598^2027 is 2-PRP! (10.5241s+0.0034s)
2027^4598-4598^2027 is 3-PRP! (10.3154s+0.0035s)
2027^4598-4598^2027 is 5-PRP! (10.3418s+0.0043s)
2027^4598-4598^2027 is 7-PRP! (10.3536s+0.0036s)
2027^4598-4598^2027 is 11-PRP! (10.3852s+0.0035s)

Primality testing 2027^4598-4598^2027 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.02% and helper 0.00% (0.05% proof)
2027^4598-4598^2027 is Fermat and Lucas PRP! (48.9584s+0.0021s)

To be completed...