Found with PFGW Version 3.5.2
2435^3476-3476^2435 is 2-PRP! (12.7102s+0.0049s)
2435^3476-3476^2435 is 3-PRP! (27.0290s+0.0055s)
2435^3476-3476^2435 is 5-PRP! (31.1571s+0.0124s)
2435^3476-3476^2435 is 7-PRP! (28.8599s+0.0060s)
2435^3476-3476^2435 is 11-PRP! (31.0763s+0.0134s)
Primality testing 2435^3476-3476^2435 [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 0.08% and helper 0.01% (0.25% proof)
2435^3476-3476^2435 is Fermat and Lucas PRP! (148.4442s+0.0146s)
To be completed...