Found with PFGW Version 3.6.0

1769^3708-3708^1769 is 2-PRP! (5.8599s+0.0019s)
1769^3708-3708^1769 is 3-PRP! (5.8857s+0.0018s)
1769^3708-3708^1769 is 5-PRP! (5.7837s+0.0033s)
1769^3708-3708^1769 is 7-PRP! (5.7639s+0.0018s)
1769^3708-3708^1769 is 11-PRP! (5.8847s+0.0020s)

Primality testing 1769^3708-3708^1769 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.08% and helper 0.02% (0.28% proof)
1769^3708-3708^1769 is Fermat and Lucas PRP! (28.3483s+0.0032s)

To be completed...