# Effective period of Mersenne Twister generator output

Mersenne Twister generator has a period of (2^19937)-1, but it is period of internal states.

Any idea what is the effective period of MT 32 bit output - period over which 32 bit output does not repeat. It has to be smaller than (2^31)-1 but I couldn't find definite answer.

Thanks

However, if the internal state will repeat after $2^{19937}-1$ then obviously this is also the period of the output, even if the output is just 32 bits.