Found with PFGW Version 3.6.0

3561^4888-4888^3561 is 2-PRP! (13.4133s+0.0034s)
3561^4888-4888^3561 is 3-PRP! (13.2239s+0.0021s)
3561^4888-4888^3561 is 5-PRP! (13.1242s+0.0021s)
3561^4888-4888^3561 is 7-PRP! (13.2253s+0.0034s)
3561^4888-4888^3561 is 11-PRP! (13.1201s+0.0024s)

Primality testing 3561^4888-4888^3561 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 37, base 2+sqrt(37)
Calling N+1 BLS with factored part 0.10% and helper 0.04% (0.33% proof)
3561^4888-4888^3561 is Fermat and Lucas PRP! (63.1962s+0.0038s)

To be completed...