Found with PFGW Version 3.8.0

4639^13292-13292^4639 is 2-PRP! (48.3126s+0.0112s)
4639^13292-13292^4639 is 3-PRP! (48.4203s+0.0106s)
4639^13292-13292^4639 is 5-PRP! (48.2311s+0.0105s)
4639^13292-13292^4639 is 7-PRP! (48.2758s+0.0108s)
4639^13292-13292^4639 is 11-PRP! (48.1275s+0.0122s)

Primality testing 4639^13292-13292^4639 [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 0.01% (0.06% proof)
4639^13292-13292^4639 is Fermat and Lucas PRP! (238.2473s+0.0113s)

To be completed...