Unreliability of Available Pseudorandom Number Generators

The problem of generating sequences of uniformly distributed pseudorandom numbers is considered. A simple visual test for estimating the randomness of numbers in a sequence is used. The test shows that the most popular modern random number generators, such as the Mersenne Twister, linear congruential sequence, and others, yield unsatisfactory results. Accordingly, the generation of good generators remains an open problem, and results of computing stochastic processes (molecular dynamics method, etc.) have to be treated with caution.