Found with PFGW Version 3.6.0

3767^4424-4424^3767 is 2-PRP! (10.7925s+0.0024s)
3767^4424-4424^3767 is 3-PRP! (10.7096s+0.0034s)
3767^4424-4424^3767 is 5-PRP! (10.8034s+0.0033s)
3767^4424-4424^3767 is 7-PRP! (10.7135s+0.0038s)
3767^4424-4424^3767 is 11-PRP! (10.7325s+0.0020s)

Primality testing 3767^4424-4424^3767 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N-1 BLS with factored part 0.07% and helper 0.07% (0.28% proof)
3767^4424-4424^3767 is Fermat and Lucas PRP! (51.0247s+0.0020s)

To be completed...