Found with PFGW Version 3.7.5

42^35723-41 is 2-PRP! (47.5462s+0.0054s)
42^35723-41 is 3-PRP! (46.5636s+0.0047s)
42^35723-41 is 5-PRP! (46.6190s+0.0050s)
42^35723-41 is 7-PRP! (38.5225s+0.0044s)
42^35723-41 is 11-PRP! (41.3570s+0.0046s)

Primality testing 42^35723-41 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 8+sqrt(7)
Calling N-1 BLS with factored part 0.05% and helper 0.02% (0.17% proof)
42^35723-41 is Fermat and Lucas PRP! (318.0543s+0.0072s)

To be completed...