OSEC

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From: Mike Stay (staymaccessdata.com)
Date: Sat May 26 2001 - 21:21:14 CDT

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    I've been looking at the k values for which 4km+1 is square, and they
    appear to be distributed at very specific ratios of k/m. For m=pq,
    where (p-1)/2 is prime, (q-1)/2 is prime, and p!=q, there is a very
    strong line at .16 exactly, with other lines at around .18, .21, .13.
    .08, .07, .04, .02 (not in any particular order and only around 2
    significant digits).

    For m=pq where primes p and q aren't of any particular form other than
    p!=q, there is a very strong line that is almost completely eliminated
    by choosing strong primes.

    The k's come in mirror-image pairs, so there's a mirror image of the
    k/m lines at 1-(k/m).

    What's going on here? Why are these values "quantized" (or at least
    striated)? 

    -- 
Mike Stay
Programmer / Crypto Guy
AccessData Corp.
staymaccessdata.com