Found with PFGW Version 3.6.0

26^21412+25 is 2-PRP! (11.1896s+0.0027s)
26^21412+25 is 3-PRP! (11.3386s+0.0030s)
26^21412+25 is 5-PRP! (11.0968s+0.0035s)
26^21412+25 is 7-PRP! (11.2636s+0.0042s)
26^21412+25 is 11-PRP! (11.1872s+0.0021s)

Primality testing 26^21412+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 0.27% and helper 0.02% (0.85% proof)
26^21412+25 is Fermat and Lucas PRP! (90.9976s+0.0051s)

To be completed...