Found with PFGW Version 3.8.0

707^34642+34642^707 is 2-PRP! (186.1361s+0.0077s)
707^34642+34642^707 is 3-PRP! (186.2868s+0.0073s)
707^34642+34642^707 is 5-PRP! (186.8052s+0.0072s)
707^34642+34642^707 is 7-PRP! (190.2912s+0.0114s)
707^34642+34642^707 is 11-PRP! (189.8960s+0.0091s)

Primality testing 707^34642+34642^707 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.01% and helper 0.01% (0.04% proof)
707^34642+34642^707 is Fermat and Lucas PRP! (1099.0094s+0.0069s)

To be completed...