Found with PFGW Version 3.6.0

24^27668+23 is 2-PRP! (21.9991s+0.0016s)
24^27668+23 is 3-PRP! (21.8914s+0.0016s)
24^27668+23 is 5-PRP! (21.9772s+0.0032s)
24^27668+23 is 7-PRP! (21.8811s+0.0016s)
24^27668+23 is 11-PRP! (21.9590s+0.0029s)

Primality testing 24^27668+23 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.12% proof)
24^27668+23 is Fermat and Lucas PRP! (147.1767s+0.0027s)

To be completed...