Welcome to Warut's home page

I always like to look for interesting prime numbers. In other words, I'm a prime searcher. One of my interests is about primes in arithmetic progression (AP). My small example of 7 consecutive primes in AP was mentioned in an article by Ivars Peterson. I discovered record large progressions of 3 (not consecutive) primes with very little effort. This was possible with my novel prime-searching method that used known primes as seeds. Iago L. Camboa later used this technic to find the impressive record 2-prime Pythagorean triangle.

To find examples of 4 titanic primes in AP, I introduced another search method based on the fact that any large collection of prime numbers should contain a highly regular pattern (Ramsey theory). This technic was proved to be very useful. Paul Jobling later used it to discover the first known examples of 5 and 6 titanic primes in AP. I also used this method to find an example of 3 titanic palindromic primes in AP and the smallest progressions of palindromic primes. You may find some additional information on my repository page for large primes in arithmetic progression.

I've become interested in Cunningham chains since I noticed that Yves Gallot's Proth.exe, a powerful primality proving program for Windows, could be used to find Cunningham chains of length 3. (Now this is a standard feature of the program.) Apart from using Proth.exe, I also used my own UBASIC program to search for these kind of chains. My Cunningham chains as well as other interesting ones can be found on another page.

I've made some contributions to N. J. A. Sloane's On-Line Encyclopedia of Integer Sequences. Of course, most of them are related to prime numbers. One of the exceptions is the sequence A027868 which has generated the largest number of e-mail messages to me. Also interesting is A014076, the simplest sequence that I've ever had a chance to submit for the encyclopedia.

The last thing about prime numbers I'd like to mention here is that some of the prime k-tuplets I discovered are still in the top ten. :-)

BTW, I'm an editor of the Science: Math: Number Theory category of Netscape's Open Directory Project.

Special Links

• Mom's official home page.
• List of my friends' home pages.
• My primes on Chris Caldwell's list of the largest known primes.
• My RC5-64 stats. I'm a member of Sawasdee Thailand, the Thai team led by Kanok Chantrasmi.
• Links to my pages as found by AltaVista, the best search engine IMHO. I do appreciate every link to my site.
• My bookmarks file (~140K) which is listed in the Numbers section of Lycos Mathematics Guide and the Math Resources section of Franklin Parish Schools' Educational Links. It is categorized under the Nice bookmarks section of Safro Il'ya's Bookmarks; see also Dave Boll's praise.
• Pictures:
  • Autographed picture of Martin Gardner (53K). I got it when I wrote an article about his biography in a Thai science journal.
  • Low (320x240, 31K) and high (800x600, 164K) resolution images of a double-double spiral of the Mandelbrot set. I created them with Fractint when I was crazy about chaos & fractals a long time ago. This kind of spiral was first seen by A.G. Davis Philip. Now I desperately want to know where I can see a double-double-double spiral.
  • My sister (40K) at J. Paul Getty Museum in Los Angeles (February 1999). She is now working in Chicago as an architect for Fujikawa Johnson and Associates, Inc.
  • My lovely dog (30K). He was born on December 18, 1987 and this picture was taken in May 1998.

Mr. Warut Roonguthai
204 Ranong 1 Road
Dusit, Bangkok 10300
Thailand
fax: +66-2-243-4058
icq# 19023470
e-mail: [email protected] (English), [email protected] (Thai)
wap: http://wappy.to/warut
www: http://ksc9.th.com/warut/, biogate.com/warut, warut.cjb.net, warut.com
mirror: http://www.thai.net/warut/, biosys.net/warut, visitweb.com/warut

Last modified: June 27, 2000.