PFGW: Fermat and Lucas PRP
Prime95: PRP-3
Any factor repeats periodically
191 divides any 10^(95k+19)+7
823 divides any 10^(822k+28)+7
56921 divides any 10^(14230k+13814)+7
1334467 divides any 10^(95319k+12457)+7

To be completed...