request for vetting of paper on distribution of primes

From: Izzie Boxen (iboxen_at_rogers.com)
Date: 06/14/04 

Date: Mon, 14 Jun 2004 05:55:33 GMT

I left the field of mathematics and physics in 1970 but became
interested in the distribution of primes during the summer of 2000 when
I was playing around with the Sieve of Eratosthenes and happened across
a repetitive pattern. Further investigation lead to a wealth of other
patterns, many of which appear to be dead ends, but some of which have
been very fruitful and have lead to relations concerning the
distribution of primes.

There are three papers prepared in near final form at present. Most, if
not all, typos and errors have now been corrected in the first two
papers, as far as I can see. However, expert perusal and comments would
be greatly appreciated. Several extant conjectures and several new
relations about the distribution of primes have been proved in the first
paper. The proofs of two extant conjectures are long enough to warrant a
separate paper each.

I would like to submit the first paper (35 pages at present and
counting, single-space typing, plus 3 figures) to any mathematician who
is interested in reviewing it and making any comments, hopefully
constructive. Since all the work presented uses only elementary number
theory, no advanced number theory expertise is required. Should the
first paper contain sufficient valid results, I would be happy to also
submit the other two papers. Even if there are significant errors, there
is probably much here that deserves publication.

If you are interested, please provide an e-mail (or even postal) address
and I will send the first paper. It can be made available in pdf format,
but possibly also in other formats you stipulate.

Regards,
Izzie Boxen

Relevant Pages

  • Fwd: News: New Pattern Found in Prime Numbers
    ... This combination of randomness and regularity has motivated researchers to search for patterns in the distribution of primes that may eventually shed light on their ultimate nature. ... They found that the distribution of the leading digit in the prime number sequence can be described by a generalization of Benford's law. ... That is, 1 as a first digit appears about 30% of the time, and the following digits appear with lower and lower frequency, with 9 appearing the least often. ...
    (sci.fractals)
  • Re: JSH: Math journals do not just die
    ... distribution of primes to the curve 1/ln, which is a derived result, ... "The Distribution of Small Gaps Between Successive Primes" ... Statistics can point in a direction, ... non-randomness in its close relation to 1/. ...
    (sci.skeptic)
  • Re: Possible test for divisor of Phi(N)
    ... In the first paragraph above ... > distribution of prime factors of the values of a row, ... mod N would show up only after taking a ridiculously large number of residues. ... Some primes were missing ...
    (sci.crypt)
  • Evidence For The Randomness Of Prime Numbers
    ... randomness of prime numbers based on the Last Digit Distribution. ... Aside from 2 and 5 there are no even primes or primes ending in the ... the last digit distribution as expressed by the Chi-square. ...
    (sci.math)
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