Found with PFGW Version 3.6.0

764^4723-4723^764 is 2-PRP! (8.7763s+0.0027s)
764^4723-4723^764 is 3-PRP! (9.1242s+0.0004s)
764^4723-4723^764 is 5-PRP! (9.3667s+0.0004s)
764^4723-4723^764 is 7-PRP! (9.3697s+0.0004s)
764^4723-4723^764 is 11-PRP! (9.4587s+0.0004s)

Primality testing 764^4723-4723^764 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 8+sqrt(7)
Calling N-1 BLS with factored part 0.10% and helper 0.04% (0.32% proof)
764^4723-4723^764 is Fermat and Lucas PRP! (43.6488s+0.0019s)

To be completed...