Found with PFGW Version 3.8.0

271^16880-16880^271 is 2-PRP! (35.3313s+0.0042s)
271^16880-16880^271 is 3-PRP! (36.7906s+0.0046s)
271^16880-16880^271 is 5-PRP! (35.5815s+0.0053s)
271^16880-16880^271 is 7-PRP! (41.3787s+0.0083s)
271^16880-16880^271 is 11-PRP! (35.1505s+0.0052s)

Primality testing 271^16880-16880^271 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 8+sqrt(11)
Calling N-1 BLS with factored part 0.01% and helper 0.01% (0.05% proof)
271^16880-16880^271 is Fermat and Lucas PRP! (178.4899s+0.0092s)

To be completed...