In Number Theory, Logic, and Cryptography
This page lists recent developments, and changes to the web-site. If you intend to be a regular user of the site, you might like to bookmark this page so that you can see at a glance what has changed since your last visit.
February 2013: This site will now offer prizes of US $500 for the solution to most of the problems listed on the site. For details, please see the Prizes page.
January 2013: A new unsolved problem, the Lonely Runner conjecture, has been added to the site.
December 2012: Lists of Euler bricks, edge cuboids, and face cuboids are available from the Solutions page.
October 2012: There’s currently much excitement in the professional mathematics community about Kyoto mathematician Shinichi Mochizuki’s claim to have proved the ABC conjecture. Unfortunately, the mathematics in his proof is so cryptic that a decision on its validity is unlikely for some time.
May 2012: The DLP (Discrete Logarithm problem) has been added.
March 2012: Seventh place in the Intel Science Talent Search 2012 was awarded to Anirudh Prabhu of Indiana, who received $25,000 for his investigation of the Odd Perfect Number problem, and his suggestion that odd perfect numbers do not exist.
October 2011: An interesting paper on the lower bounds for an odd perfect number by Anirudh Prabhu can be found here, and a proposed solution to the Collatz Conjecture has been added to the Solutions page.
May 2010: I believe it is now beyond reasonable doubt that the solution to the Dorabella Cipher presented as item #12 on the Solutions page is the correct decipherment. This makes it the only problem on this site to have been solved thus far.
December 2009: The Legendre Conjecture has been removed, and Fermat’s Last Theorem added.
Some earlier items have now been removed
This web site developed and maintained by
Tim S Roberts