Found with PFGW Version 3.7.5

7514^10665-10665^7514 is 2-PRP! (35.0097s+0.0028s)
7514^10665-10665^7514 is 3-PRP! (36.1497s+0.0028s)
7514^10665-10665^7514 is 5-PRP! (35.6202s+0.0027s)
7514^10665-10665^7514 is 7-PRP! (35.4927s+0.0026s)
7514^10665-10665^7514 is 11-PRP! (35.5170s+0.0026s)

Primality testing 7514^10665-10665^7514 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.12% proof)
7514^10665-10665^7514 is Fermat and Lucas PRP! (174.5527s+0.0028s)

To be completed...