Found with PFGW Version 3.8.0

7670^13079-13079^7670 is 2-PRP! (50.3664s+0.0193s)
7670^13079-13079^7670 is 3-PRP! (48.1470s+0.0093s)
7670^13079-13079^7670 is 5-PRP! (47.8045s+0.0087s)
7670^13079-13079^7670 is 7-PRP! (48.0006s+0.0086s)
7670^13079-13079^7670 is 11-PRP! (47.6676s+0.0090s)

Primality testing 7670^13079-13079^7670 [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 discriminant 17, base 1+sqrt(17)
Calling N+1 BLS with factored part 0.02% and helper 0.00% (0.07% proof)
7670^13079-13079^7670 is Fermat and Lucas PRP! (376.0023s+0.0120s)

To be completed...