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  2. Mersenne Twister - Wikipedia

    en.wikipedia.org/wiki/Mersenne_Twister

    The Mersenne Twister is a general-purpose pseudorandom number generator (PRNG) developed in 1997 by Makoto Matsumoto (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.

  3. Linear congruential generator - Wikipedia

    en.wikipedia.org/wiki/Linear_congruential_generator

    Free Pascal uses a Mersenne Twister as its default pseudo random number generator whereas Delphi uses a LCG. Here is a Delphi compatible example in Free Pascal based on the information in the table above. Given the same RandSeed value it generates the same sequence of random numbers as Delphi.

  4. Pseudorandom number generator - Wikipedia

    en.wikipedia.org/wiki/Pseudorandom_number_generator

    The 1997 invention of the Mersenne Twister, [9] in particular, avoided many of the problems with earlier generators. The Mersenne Twister has a period of 2 19 937 − 1 iterations (≈ 4.3 × 10 6001 ), is proven to be equidistributed in (up to) 623 dimensions (for 32-bit values), and at the time of its introduction was running faster than ...

  5. Makoto Matsumoto (mathematician) - Wikipedia

    en.wikipedia.org/wiki/Makoto_Matsumoto...

    Makoto Matsumoto (松本眞, born February 18, 1965) is a Japanese mathematician principally known as the inventor of the Mersenne Twister, [1] [2] a widely used pseudorandom number generator. He is also the author of the CryptMT stream cipher. [3]

  6. List of random number generators - Wikipedia

    en.wikipedia.org/wiki/List_of_random_number...

    Mersenne Twister (MT) 1998 M. Matsumoto and T. Nishimura [25] Closely related with LFSRs. In its MT19937 implementation is probably the most commonly used modern PRNG. Default generator in R and the Python language starting from version 2.3. Xorshift: 2003 G. Marsaglia [26] It is a very fast sub-type of LFSR generators.

  7. Record-breaking prime number containing more than 41 ... - AOL

    www.aol.com/41-million-digits-later-inside...

    The historic finding is classified as a Mersenne prime, which is named after the French monk Marin Mersenne, who studied these numbers more than 350 years ago. Mersenne primes are a rare kind of ...

  8. Lagged Fibonacci generator - Wikipedia

    en.wikipedia.org/wiki/Lagged_Fibonacci_generator

    The Mersenne Twister algorithm is a variation on a GFSR. ... Subtract with carry, a lagged Fibonacci generator engine, is included in the C++11 library.

  9. Well equidistributed long-period linear - Wikipedia

    en.wikipedia.org/wiki/Well_equidistributed_long...

    The structure is similar to the Mersenne Twister, a large state made up of previous output words (32 bits each), from which a new output word is generated using linear recurrences modulo 2 over a finite binary field. However, a more complex recurrence produces a denser generator polynomial, producing better statistical properties.