Primenace

Prime_nace

Why Primenace? Well my name is Dennis, and I am a menace (and I like to play tennis, and hopefully serve some aces while I am at it).

I have also written some papers on prime numbers, and thought that this would be a good way to present them.

Prime + Menace = Primenace, which makes me the prime menacester.

I current work for DP Technology Corp., www.dptechnology.com, in Camarillo, California. dennis.martin@dptechnology.com

I graduated in 1992 with a bachelor’s in mechanical engineering from Michigan Technological University. I find that a BSME definitely comes in handy at times like these when I am BSing about myself.

If you like you can also check out my personal website at www.LPrezdente.net. The name LPrezdente is explained there.

No part of any document appearing on this site may be reproduced, retransmitted, or redistributed by any means, without the expressed written consent of Dennis R. Martin.

Contents:

Anti-Elite Primes: A table giving anti-elite prime search status. Currently in html format only.

Elite Primes: A table giving elite prime search status. Currently in html format only.

On the Infinite Series Characterizing the Elimination of Twin Prime Candidates: Abstract: The pattern of the composite numbers that have a particular lowest prime factor repeats over intervals equal to the primorial of that lowest prime factor. The number of composites having that prime for their lowest factor is constant over those primorial intervals, and the value of that constant for each prime is directly related to the value of the previous prime and its constant composite to primorial ratio. Those primorial patterns apply to twin primes. The composite numbers that eliminate twin prime candidates can be counted in terms of their lowest prime factors. Those twin prime eliminations repeat over primorial intervals such that the rate of elimination can be represented by an infinite series over all primes 5 and greater. We calculate the partial sums for that series for the first 15 million primes and examine the implications of the convergence of that infinite series. Formats: html, doc, dvi, tex.

Primorial Pattern Proofs: Abstract: Observations are made regarding the pattern of the composite numbers that have a particular prime factor for their lowest prime factor. It is subsequently proven that this pattern repeats over intervals equal to the primorial of that lowest prime factor such that the number and distribution of such composites is constant. The value of that constant composite to primorial ratio is proven to be related to the previous prime numbers and its constant composite to primorial ratio. Formats: html, doc.