Found with PFGW Version 3.7.5

5928^7903-7903^5928 is 2-PRP! (33.4380s+0.0031s)
5928^7903-7903^5928 is 3-PRP! (34.0994s+0.0044s)
5928^7903-7903^5928 is 5-PRP! (33.5440s+0.0032s)
5928^7903-7903^5928 is 7-PRP! (34.0148s+0.0028s)
5928^7903-7903^5928 is 11-PRP! (34.6337s+0.0028s)

Primality testing 5928^7903-7903^5928 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 23
Running N+1 test using discriminant 37, base 1+sqrt(37)
Calling N+1 BLS with factored part 0.04% and helper 0.02% (0.13% proof)
5928^7903-7903^5928 is Fermat and Lucas PRP! (186.1853s+0.0076s)

To be completed...