Found with PFGW Version 3.7.5

4932^5923-5923^4932 is 2-PRP! (15.3859s+0.0019s)
4932^5923-5923^4932 is 3-PRP! (15.8283s+0.0028s)
4932^5923-5923^4932 is 5-PRP! (17.4859s+0.0020s)
4932^5923-5923^4932 is 7-PRP! (15.4263s+0.0021s)
4932^5923-5923^4932 is 11-PRP! (21.8803s+0.0021s)

Primality testing 4932^5923-5923^4932 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N+1 BLS with factored part 0.05% and helper 0.03% (0.18% proof)
4932^5923-5923^4932 is Fermat and Lucas PRP! (90.8335s+0.0039s)

To be completed...