A 32-bit PRNG will inevitably repeat after at most 2**32 numbers. It will usually repeat some numbers much earlier than that. And if you are using fewer bits (eg. rand( 100 ) it will repeat even earlier still. This is both inevitable and desirable. If it didn't repeat occasionally, it wouldn't be random!

The significant statistic is the number of rands you can obtain before the sequence starts to repeat. This is called the period. For the MT, the period is 219937 - 1. Which means you could draw a new rand every nanosecond for the next 106000 years, and still not see the sequence repeat.

Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
"Science is about questioning the status quo. Questioning authority".
In the absence of evidence, opinion is indistinguishable from prejudice.
RIP an inspiration; A true Folk's Guy

In reply to Re^5: Upper limit to Mersenne Twister Algorithm? by BrowserUk
in thread Upper limit to Mersenne Twister Algorithm? by tritan

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.