Found with PFGW Version 3.7.5

1927^5598-5598^1927 is 2-PRP! (13.0499s+0.0023s)
1927^5598-5598^1927 is 3-PRP! (13.1988s+0.0018s)
1927^5598-5598^1927 is 5-PRP! (13.5484s+0.0018s)
1927^5598-5598^1927 is 7-PRP! (12.7723s+0.0021s)
1927^5598-5598^1927 is 11-PRP! (13.1553s+0.0017s)

Primality testing 1927^5598-5598^1927 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 19, base 2+sqrt(19)
Calling N-1 BLS with factored part 0.04% and helper 0.02% (0.13% proof)
1927^5598-5598^1927 is Fermat and Lucas PRP! (64.6167s+0.0031s)

To be completed...