Found with PFGW Version 3.7.5

4354^12547+12547^4354 is 2-PRP! (40.0202s+0.0025s)
4354^12547+12547^4354 is 3-PRP! (40.8738s+0.0031s)
4354^12547+12547^4354 is 5-PRP! (41.2368s+0.0027s)
4354^12547+12547^4354 is 7-PRP! (40.7310s+0.0026s)
4354^12547+12547^4354 is 11-PRP! (40.3629s+0.0026s)

Primality testing 4354^12547+12547^4354 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.08% proof)
4354^12547+12547^4354 is Fermat and Lucas PRP! (228.5925s+0.0026s)

To be completed...