Found with PFGW Version 3.6.0

1303^12694+12694^1303 is 2-PRP! (80.5494s+0.0032s)
1303^12694+12694^1303 is 3-PRP! (80.2609s+0.0033s)
1303^12694+12694^1303 is 5-PRP! (80.0809s+0.0030s)
1303^12694+12694^1303 is 7-PRP! (80.1202s+0.0046s)
1303^12694+12694^1303 is 11-PRP! (80.3363s+0.0030s)

Primality testing 1303^12694+12694^1303 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 23, base 8+sqrt(23)
Calling N+1 BLS with factored part 0.01% and helper 0.01% (0.06% proof)
1303^12694+12694^1303 is Fermat and Lucas PRP! (377.6962s+0.0031s)

To be completed...