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This paper has a practical aim. For a long time, implementations ofpseudorandom number generators in standard libraries of programming languageshad poor quality. The situation started to improve only recently. Up to now, alarge number of libraries and weakly supported mathematical packages useoutdated algorithms for random number generation. Four modern sets ofstatistical tests that can be used for verifying random number generators aredescribed. It is proposed to use command line utilities, which makes itpossible to avoid low-level programming in such languages as C or C++. Onlyfree open source systems are considered.

A practical approach to testing random number generators in computer algebra systems