We present a MathLink program that generates pseudorandom sequences of integers with extremely long period (approximately 10^16376) and with excellent correlation properties: it is guaranteed that samples of 1700 subsequent numbers of 32 bits are independent, while the unavoidable remaining correlations are of very high order. Many different versions of these sequences can be realized by simple changes of the constants in the source code. The program is especially suitable for reliable large-scale Monte Carlo simulations.