Prime95: PRP-3
PFGW: Fermat and Lucas PRP
132753 mod 16 == 1, any 10^(16k+1)+7 is divisible by 17
132753 mod 18 == 3, any 10^(18k+3)+7 is divisible by 19
10^132753+7 has "algebraic" factors only

To be completed...