Found with PFGW Version 3.6.0

734^5139-5139^734 is 2-PRP! (10.4604s+0.0015s)
734^5139-5139^734 is 3-PRP! (10.4187s+0.0020s)
734^5139-5139^734 is 5-PRP! (10.8745s+0.0020s)
734^5139-5139^734 is 7-PRP! (11.2041s+0.0018s)
734^5139-5139^734 is 11-PRP! (10.3210s+0.0016s)

Primality testing 734^5139-5139^734 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N+1 BLS with factored part 0.07% and helper 0.04% (0.24% proof)
734^5139-5139^734 is Fermat and Lucas PRP! (47.1695s+0.0028s)

To be completed...