ound with PFGW Version 3.7.5

3939^8038-8038^3939 is 2-PRP! (27.1201s+0.0022s)
3939^8038-8038^3939 is 3-PRP! (31.2553s+0.0024s)
3939^8038-8038^3939 is 5-PRP! (24.6214s+0.0021s)
3939^8038-8038^3939 is 7-PRP! (34.8092s+0.0038s)
3939^8038-8038^3939 is 11-PRP! (24.6987s+0.0022s)

Primality testing 3939^8038-8038^3939 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 17, base 8+sqrt(17)
Calling N+1 BLS with factored part 0.03% and helper 0.03% (0.12% proof)
3939^8038-8038^3939 is Fermat and Lucas PRP! (177.5418s+0.0048s)

To be completed...