Found with PFGW Version 3.8.0

3479^11240-11240^3479 is 2-PRP! (32.9381s+0.0061s)
3479^11240-11240^3479 is 3-PRP! (33.9159s+0.0063s)
3479^11240-11240^3479 is 5-PRP! (34.3763s+0.0061s)
3479^11240-11240^3479 is 7-PRP! (33.7089s+0.0063s)
3479^11240-11240^3479 is 11-PRP! (33.7254s+0.0068s)

Primality testing 3479^11240-11240^3479 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 7+sqrt(11)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.10% proof)
3479^11240-11240^3479 is Fermat and Lucas PRP! (164.1265s+0.0106s)

To be completed...