Found with PFGW Version 3.5.2

614^6491-6491^614 is 2-PRP! (54.0970s+0.0052s)
614^6491-6491^614 is 3-PRP! (63.5485s+0.0016s)
614^6491-6491^614 is 5-PRP! (46.7670s+0.0018s)
614^6491-6491^614 is 7-PRP! (54.2407s+0.0016s)
614^6491-6491^614 is 11-PRP! (63.6166s+0.0016s)

Primality testing 614^6491-6491^614 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 2+sqrt(13)
Calling N+1 BLS with factored part 0.08% and helper 0.02% (0.26% proof)
614^6491-6491^614 is Fermat and Lucas PRP! (436.6665s+0.0045s)

To be completed...