Found with PFGW Version 3.7.5

3551^5438-5438^3551 is 2-PRP! (11.6505s+0.0030s)
3551^5438-5438^3551 is 3-PRP! (11.3813s+0.0030s)
3551^5438-5438^3551 is 5-PRP! (12.2548s+0.0031s)
3551^5438-5438^3551 is 7-PRP! (11.4935s+0.0021s)
3551^5438-5438^3551 is 11-PRP! (11.1933s+0.0032s)

Primality testing 3551^5438-5438^3551 [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 0.05% (0.28% proof)
3551^5438-5438^3551 is Fermat and Lucas PRP! (58.7382s+0.0049s)

To be completed...