Found with PFGW Version 3.8.0

24^56298+23 is 2-PRP! (27.6432s+0.0067s)
24^56298+23 is 3-PRP! (27.6595s+0.0078s)
24^56298+23 is 5-PRP! (29.1113s+0.0076s)
24^56298+23 is 7-PRP! (29.3646s+0.0078s)
24^56298+23 is 11-PRP! (27.6173s+0.0085s)

Primality testing 24^56298+23 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 23, base 2+sqrt(23)
Calling N+1 BLS with factored part 0.01% and helper 0.01% (0.04% proof)
24^56298+23 is Fermat and Lucas PRP! (224.3846s+0.0083s)

To be completed...