Found with PFGW Version 3.6.0

943^4842-4842^943 is 2-PRP! (9.5909s+0.0021s)
943^4842-4842^943 is 3-PRP! (9.8157s+0.0005s)
943^4842-4842^943 is 5-PRP! (9.7943s+0.0005s)
943^4842-4842^943 is 7-PRP! (9.7620s+0.0005s)
943^4842-4842^943 is 11-PRP! (9.7766s+0.0005s)

Primality testing 943^4842-4842^943 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 13
Running N-1 test using base 19
Running N+1 test using discriminant 37, base 3+sqrt(37)
Calling N+1 BLS with factored part 0.05% and helper 0.03% (0.20% proof)
943^4842-4842^943 is Fermat and Lucas PRP! (65.9713s+0.0018s)

To be completed...