Found with PFGW Version 3.6.0

97^12239-96 is 2-PRP! (8.4736s+0.0024s)
97^12239-96 is 3-PRP! (8.4622s+0.0027s)
97^12239-96 is 5-PRP! (8.4418s+0.0026s)
97^12239-96 is 7-PRP! (8.5295s+0.0023s)
97^12239-96 is 11-PRP! (8.4513s+0.0024s)

Primality testing 97^12239-96 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N-1 BLS with factored part 0.12% and helper 0.05% (0.42% proof)
97^12239-96 is Fermat and Lucas PRP! (62.6986s+0.0055s)

To be completed...