Found with PFGW Version 3.7.5

24^41311+23 is 2-PRP! (54.1743s+0.0058s)
24^41311+23 is 3-PRP! (52.8513s+0.0050s)
24^41311+23 is 5-PRP! (54.0584s+0.0065s)
24^41311+23 is 7-PRP! (54.4744s+0.0052s)
24^41311+23 is 11-PRP! (53.3740s+0.0039s)

Primality testing 24^41311+23 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N+1 BLS with factored part 0.38% and helper 0.00% (1.15% proof)
24^41311+23 is Fermat and Lucas PRP! (395.2812s+0.0064s)

To be completed...