Prime95: PRP-3
PFGW: Fermat and Lucas PRP
99284 mod 13 == 3, any 10^(13k+3)+7 is divisible by 53
99284 mod 33 == 20, any 10^(33k+20)+7 is divisible by 67
10^99284+7 has "algebraic" factors only

To be completed...