Found with PFGW Version 3.6.0

4724^6541-6541^4724 is 2-PRP! (22.1854s+0.0023s)
4724^6541-6541^4724 is 3-PRP! (26.3211s+0.0031s)
4724^6541-6541^4724 is 5-PRP! (26.9164s+0.0022s)
4724^6541-6541^4724 is 7-PRP! (26.4498s+0.0029s)
4724^6541-6541^4724 is 11-PRP! (26.6442s+0.0021s)

Primality testing 4724^6541-6541^4724 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 8+sqrt(7)
Calling N-1 BLS with factored part 0.04% and helper 0.04% (0.18% proof)
4724^6541-6541^4724 is Fermat and Lucas PRP! (124.9079s+0.0040s)

To be completed...