Found with PFGW Version 3.7.5

8173^12492-12492^8173 is 2-PRP! (100.2209s+0.0041s)
8173^12492-12492^8173 is 3-PRP! (92.8242s+0.0056s)
8173^12492-12492^8173 is 5-PRP! (88.9019s+0.0057s)
8173^12492-12492^8173 is 7-PRP! (86.9170s+0.0042s)
8173^12492-12492^8173 is 11-PRP! (90.7427s+0.0047s)

Primality testing 8173^12492-12492^8173 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N+1 test using discriminant 23, base 6+sqrt(23)
Calling N+1 BLS with factored part 0.04% and helper 0.03% (0.14% proof)
8173^12492-12492^8173 is Fermat and Lucas PRP! (490.7652s+0.0061s)

To be completed...