Found with PFGW Version 3.7.5

76^45044+75 is 2-PRP! (48.4579s+0.0020s)
76^45044+75 is 3-PRP! (48.5270s+0.0023s)
76^45044+75 is 5-PRP! (48.4545s+0.0019s)
76^45044+75 is 7-PRP! (48.2068s+0.0017s)
76^45044+75 is 11-PRP! (48.1666s+0.0018s)

Primality testing 76^45044+75 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 13, base 2+sqrt(13)
Calling N+1 BLS with factored part 0.02% and helper 0.00% (0.07% proof)
76^45044+75 is Fermat and Lucas PRP! (360.8981s+0.0026s)

To be completed...