UNSOLVED PROBLEMS

In Number Theory, Logic, and Cryptography

What’s New

 

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.

 

November 2011:  Several claims for solutions to various problems have passed my desk this month, but none of the authors are yet confident enough to wish to have them published on the site.

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.

September 2011:  An interesting paper on the Perfect Cuboid problem by Ruslan Sharipov can be found here.  More contributions have been added to the Solutions page.

August 2011:  An interesting article on the Collatz conjecture by Terence Tao can be found here

July 2011:  Some recent research on the magic square of squares is reported here.

June 2011:  A proposed proof of the Collatz Conjecture by Gerhard Opfer can be found here.  A paper on the lower bounds for an odd perfect number can be found on the Solutions page.

March 2011:  Two more contributions have been added to the Solutions page, the page itself has been revamped, and the maximum size limit for contributions has been raised.

February 2011:  Due to popular demand the Legendre Conjecture has returned, and Grimm’s Conjecture has been added.

June 2010:  The ABC conjecture and the problem of finding a four-dimensional Euler Brick (or proving its non-existence) have been added to the web site.

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.

October 2009: More proposed solutions have been added to the Solutions page.

 

Earlier items have now been removed

 

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This web site developed and maintained by

Tim S Roberts

Email: timro21@gmail.com