The Mersenne Twister is a general-purpose pseudorandom number generator (PRNG) developed in 1997 by Makoto Matsumoto [ja] (松本 眞) and Takuji Nishimura (西村 拓士).[1][2] Its name derives from the choice of a Mersenne prime as its period length.
The Mersenne Twister was designed specifically to rectify most of the flaws found in older PRNGs.
The most commonly used version of the Mersenne Twister algorithm is based on the Mersenne prime . The standard implementation of that, MT19937, uses a 32-bit word length. There is another implementation (with five variants[3]) that uses a 64-bit word length, MT19937-64; it generates a different sequence.
^Matsumoto, M.; Nishimura, T. (1998). "Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator". ACM Transactions on Modeling and Computer Simulation. 8 (1): 3–30. CiteSeerX 10.1.1.215.1141. doi:10.1145/272991.272995. S2CID 3332028.
^E.g. Marsland S. (2011) Machine Learning (CRC Press), §4.1.1. Also see the section "Adoption in software systems".
^John Savard. "The Mersenne Twister". A subsequent paper, published in the year 2000, gave five additional forms of the Mersenne Twister with period 2^19937-1. All five were designed to be implemented with 64-bit arithmetic instead of 32-bit arithmetic.
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