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MathGroup Archive 1996

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Random Number Generator of large period

  • Subject: [mg3335] Random Number Generator of large period
  • From: ross at
  • Date: 28 Feb 1996 06:42:57 -0600
  • Approved:
  • Distribution: local
  • Newsgroups: wri.mathgroup
  • Organization: Wolfram Research, Inc.
  • Sender: daemon at

Here is a request for information.

Does anyone know of the whereabout of (code for) 
a Random-Number Generator (Linear-Congruential or otherwise) 
that produces output ``uniformally distributed''
amongst at least 2^96 objects?
i.e. integers: {1, ..., 2^96 }  

The code can be in any language: Mathematica, C, APL, Maple, ....

Concerning Mathematica...

What are the technical specs on the RNG used by Mathematica?
What is its period?
How many distinct ``seeds'' are accepted by  SeedRandom[] 
and/or how many distinct starting-points for Random[]
are generated by seeding?

Indeed, does Mathematica even provide an RNG distinct from that
which may be built-in to the host-computer's operating system?

Please email replies to myself and  timbourk at,
posting to the group only if you think there is general interest.



Ross Moore                         Internet: ross at
Mathematics Department                Work:       +61 2 850-8955
Macquarie University                   Home:   please do not try
North Ryde, Sydney                     Fax:       +61 2 850-8114
Australia  2109

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