Found with PFGW Version 3.8.0

194^16379-16379^194 is 2-PRP! (26.6504s+0.0071s)
194^16379-16379^194 is 3-PRP! (26.8461s+0.0084s)
194^16379-16379^194 is 5-PRP! (26.3681s+0.0075s)
194^16379-16379^194 is 7-PRP! (27.6423s+0.0124s)
194^16379-16379^194 is 11-PRP! (26.4959s+0.0080s)

Primality testing 194^16379-16379^194 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 2+sqrt(13)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.11% proof)
194^16379-16379^194 is Fermat and Lucas PRP! (181.3422s+0.0085s)

To be completed...