Found with PFGW Version 3.7.5

5883^9406-9406^5883 is 2-PRP! (49.6937s+0.0046s)
5883^9406-9406^5883 is 3-PRP! (50.2953s+0.0048s)
5883^9406-9406^5883 is 5-PRP! (51.0465s+0.0050s)
5883^9406-9406^5883 is 7-PRP! (48.1161s+0.0042s)
5883^9406-9406^5883 is 11-PRP! (51.5734s+0.0043s)

Primality testing 5883^9406-9406^5883 [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 0.04% and helper 0.02% (0.14% proof)
5883^9406-9406^5883 is Fermat and Lucas PRP! (275.2351s+0.0051s)

To be completed...