Found with PFGW Version 3.7.5

4670^7061-7061^4670 is 2-PRP! (41.6400s+0.0086s)
4670^7061-7061^4670 is 3-PRP! (38.5631s+0.0063s)
4670^7061-7061^4670 is 5-PRP! (39.1269s+0.0061s)
4670^7061-7061^4670 is 7-PRP! (38.0930s+0.0069s)
4670^7061-7061^4670 is 11-PRP! (38.0356s+0.0063s)

Primality testing 4670^7061-7061^4670 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 7
Running N-1 test using base 11
Running N-1 test using base 13
Running N+1 test using discriminant 23, base 2+sqrt(23)
Calling N-1 BLS with factored part 0.03% and helper 0.02% (0.13% proof)
4670^7061-7061^4670 is Fermat and Lucas PRP! (336.3073s+0.0074s)

To be completed...