Efficient implementation of bailey and Borwein pseudo-random number generator based on normal numbers. This paper describes an implementation of a Linear Congruential Generator (LCG) based on the binary representation of the normal number α 2,3 , and of a combined generator based on that LCG. The base LCG with the modulus 3 33 provides a quality sequence with the period ≈3·7·10 15 , which passes all but two statistical tests from BigCrush test suite. We improved on the original implementation by adapting Barrett’s modular reduction method, which resulted in four-fold increase in efficiency. The combined generator has the period of ≈10 23 and passes all tests from BigCrush suite.