Found with PFGW Version 3.8.0

76^18735-18735^76 is 2-PRP! (23.2432s+0.0085s)
76^18735-18735^76 is 3-PRP! (23.1262s+0.0045s)
76^18735-18735^76 is 5-PRP! (24.6449s+0.0078s)
76^18735-18735^76 is 7-PRP! (23.6708s+0.0083s)
76^18735-18735^76 is 11-PRP! (24.0021s+0.0091s)

Primality testing 76^18735-18735^76 [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 0.01% (0.10% proof)
76^18735-18735^76 is Fermat and Lucas PRP! (186.4847s+0.0096s)

To be completed...