Found with PFGW Version 3.5.2

2918^3463-3463^2918 is 2-PRP! (12.7079s+0.0050s)
2918^3463-3463^2918 is 3-PRP! (26.4341s+0.0137s)
2918^3463-3463^2918 is 5-PRP! (32.2320s+0.0171s)
2918^3463-3463^2918 is 7-PRP! (28.5703s+0.0125s)
2918^3463-3463^2918 is 11-PRP! (30.8848s+0.0141s)

Primality testing 2918^3463-3463^2918 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 5
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 2+sqrt(13)
Calling N-1 BLS with factored part 0.06% and helper 0.05% (0.24% proof)
2918^3463-3463^2918 is Fermat and Lucas PRP! (210.4053s+0.0164s)

To be completed...