Hacking PRNG, synchronise seeds after having few consequtive or with a know distance samples

How to hack a Mersenne Twister PRNG… having vector of few consecutive numbers generated from it… Optimised algorithm, Rainbow Tables… seek for collision or other methods…

I tried to crack rand48 this summer, for this problem: https://projecteuler.net/problem=803
Using SMT solvers. But no luck.
They may be useless for MT as well… (but I didn’t try).