Found with PFGW Version 3.6.0

1052^4701-4701^1052 is 2-PRP! (9.8969s+0.0029s)
1052^4701-4701^1052 is 3-PRP! (9.8986s+0.0026s)
1052^4701-4701^1052 is 5-PRP! (9.7590s+0.0018s)
1052^4701-4701^1052 is 7-PRP! (9.9307s+0.0033s)
1052^4701-4701^1052 is 11-PRP! (9.9161s+0.0017s)

Primality testing 1052^4701-4701^1052 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N+1 test using discriminant 31, base 1+sqrt(31)
Calling N-1 BLS with factored part 0.06% and helper 0.05% (0.23% proof)
1052^4701-4701^1052 is Fermat and Lucas PRP! (46.0794s+0.0021s)

To be completed...