Found with PFGW Version 3.6.0

26^20556+25 is 2-PRP! (10.8646s+0.0022s)
26^20556+25 is 3-PRP! (10.9779s+0.0023s)
26^20556+25 is 5-PRP! (10.6148s+0.0021s)
26^20556+25 is 7-PRP! (10.7848s+0.0038s)
26^20556+25 is 11-PRP! (10.9524s+0.0024s)

Primality testing 26^20556+25 [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 0.04% and helper 0.03% (0.14% proof)
26^20556+25 is Fermat and Lucas PRP! (75.6120s+0.0048s)

To be completed...