Hi all, I am currently seeking an intern position in the Northern East Coast area, however if the company would provide some room accommodations, I could be available inside the US or the West Coast. I will provide a full resume upon request. I am not a currently graduating student (I finished my Masters Degree [Magna cum laude] some time ago) but I am willing to work for free (or for the cost of room accommodations [nothing fancy, just basics]) because I wanted to acquire hands on experience in the Internet security field. Please read the following short description of my recent activities and consider my help in your new projects. You can have someone with my skills for the price of an intern. I am very enthusiastic, and a hard working person. I can be available for the internship in July and/or August. FEW WORDS ABOUT ME In the recent years, I decided to transfer my interests into mathematics and computer science -- my strong personal interests from the beginning. For the last 10 months, I have been working on my own little Internet security projects, focusing on encryption algorithms. However, personally I have been involved in prime numbers and factorization for the last six months. My fascination in prime numbers factorization was increased after a careful study of historical materials, especially those related to Fermat's discoveries. I was intrigued by Fermat's ability to solve Mersenne's challenges to factor sizable composite integers. (See Fermat letters to Mersenne, for example dated from Toulouse, April 7, 1643.) According to Edouard Lucas Fermat knew a very powerful method of factoring integers, but the method was lost after he died. Lucas also believed that most of the Fermat's methods were probably rediscovered, by the time Lucas was writing his "Recreations Mathematiques" in 1891. The "most" and "probably" were my motivations. Despite the fact that I consider myself versatile in C/C++ and JAVA, I decided to use only a calculator, and ... an abacus while thinking about Fermat's methods. I was planning to replicate a thinking environment, which would not rely on the speed of a computer, only. I wanted to see Fermat's motivations. In the beginning of 1990's, Hans Riesel describes in his book "Prime Numbers & Computer Methods for Factorization" that there could be a way to find a method, which would help to factor very large composite numbers, products of large prime numbers in a new way that would be less dependent on the size of such number. I tent to agree with his statement. After six months of working on this project I believe I am close to certain results. The reason I am saying this is that I found an interesting square root algorithm, which is very little dependent on the size of an integer. There is practically seconds' difference in computation of 200 digits versus 1000 digit number. Furthermore, I have only used C language for testing, so far, no assembler code, and my laptop is running Windows with all kinds of services present. I created my own "large integer" type environment. I have my own multiplication, division, addition, subtraction, and square root functions. I have also some custom functions.
