Found with PFGW Version 3.7.5
4437^10906-10906^4437 is 2-PRP! (33.6060s+0.0025s)
4437^10906-10906^4437 is 3-PRP! (34.2293s+0.0012s)
4437^10906-10906^4437 is 5-PRP! (34.2314s+0.0012s)
4437^10906-10906^4437 is 7-PRP! (34.4594s+0.0010s)
4437^10906-10906^4437 is 11-PRP! (36.1734s+0.0010s)
Primality testing 4437^10906-10906^4437 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 29, base 3+sqrt(29)
Calling N-1 BLS with factored part 0.02% and helper 0.02% (0.08% proof)
4437^10906-10906^4437 is Fermat and Lucas PRP! (166.4158s+0.0018s)
To be completed...