Found with PFGW Version 3.8.0

12609^13474-13474^12609 is 2-PRP! (57.2057s+0.0105s)
12609^13474-13474^12609 is 3-PRP! (59.7122s+0.0174s)
12609^13474-13474^12609 is 5-PRP! (56.6396s+0.0119s)
12609^13474-13474^12609 is 7-PRP! (57.4324s+0.0108s)
12609^13474-13474^12609 is 11-PRP! (56.8527s+0.0108s)

Primality testing 12609^13474-13474^12609 [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 0.02% and helper 0.02% (0.08% proof)
12609^13474-13474^12609 is Fermat and Lucas PRP! (293.3306s+0.0142s)

To be completed...