Found with PFGW Version 3.7.5

2353^8150-8150^2353 is 2-PRP! (30.2325s+0.0026s)
2353^8150-8150^2353 is 3-PRP! (31.2416s+0.0026s)
2353^8150-8150^2353 is 5-PRP! (28.2142s+0.0023s)
2353^8150-8150^2353 is 7-PRP! (29.8453s+0.0049s)
2353^8150-8150^2353 is 11-PRP! (31.9115s+0.0022s)

Primality testing 2353^8150-8150^2353 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.04% and helper 0.04% (0.17% proof)
2353^8150-8150^2353 is Fermat and Lucas PRP! (159.2531s+0.0041s)

To be completed...