Found with PFGW Version 3.7.5

9737^12654+12654^9737 is 2-PRP! (47.3881s+0.0030s)
9737^12654+12654^9737 is 3-PRP! (47.8949s+0.0031s)
9737^12654+12654^9737 is 5-PRP! (46.9926s+0.0030s)
9737^12654+12654^9737 is 7-PRP! (46.9463s+0.0032s)
9737^12654+12654^9737 is 11-PRP! (47.8845s+0.0033s)

Primality testing 9737^12654+12654^9737 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.09% proof)
9737^12654+12654^9737 is Fermat and Lucas PRP! (273.6445s+0.0036s)

To be completed...