UNSOLVED PROBLEMS

In Number Theory, Logic, and Cryptography

Contributions and Proposed Solutions

This page provides a means for authors to have their papers made available for open inspection and feedback.   All contributions are as supplied by the author, and are not peer-reviewed. 

Constructive feedback is encouraged, and should be sent direct to the relevant author, or posted to the companion discussion group, https://groups.yahoo.com/neo/groups/UnsolvedProblems/info,where questions can be asked and any of the problems or potential solutions discussed.

If you wish to have a contribution published here, please read the FAQ, and then contact me.

 

#89: A contribution to the Twin Primes Conjecture. Submitted by  Ryujin Choe, 14.30 GMT, Tuesday 10th January 2017.

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#88: A contribution to the Goldbach Conjecture. Submitted by  Ryujin Choe, 14.30 GMT, Tuesday 10th January 2017.

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#85: A contribution to the Goldbach Conjecture. Submitted by  Graham Cooper, 11.30 GMT, Friday 29th April 2016.

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#83:  A contribution to the Perfect Cuboid Problem. Submitted by Lee Morgenstern21.00 GMT, Thursday 24th March 2016.

A new approach is given …. proving many special cases impossible using inequality relationships…”   Click here for full text.

 

#82:  A contribution to the Collatz Conjecture. Submitted by SSolomon Beyene, 14.00 GMT, Saturday 19th March 2016.

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#81:  A contribution to the K-tuple Conjecture. Submitted by Kim Lumbard, 22.30 GMT, Monday 15th February 2016.

“The k-tuple Conjecture is true. The pure elimination sieve finds all prime instances of a k-tuple H…”  Click here for full text.

 

#80:  A contribution to Fermat’s Last Theorem. Submitted by J Yun 15.30 GMT, Thursday 31st December 2015.

“This paper offers a concise proof of Fermat’s Last Theorem using the Euclidean algorithm.” Click here for full text.

 

#79: A contribution to the Goldbach Conjecture. Submitted by Jamel Ghanouchi, 11.45 GMT, Saturday 12th December 2015.

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#78: A contribution to the Riemann Hypothesis. Submitted by Jamel Ghanouchi, 11.45 GMT, Saturday 12th December 2015.

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#77: A contribution the Beal Conjecture. Submitted by Rihan Ahmed, 08.30 GMT, Wednesday 2nd December 2015, revised version submitted 19.00 GMT, Wednesday 9th December 2015.

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#76: A contribution to the Beal Conjecture. Submitted by Jamel Ghanouchi, 10.30 GMT, Tuesday 1st December 2015.

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#74: A contribution to the Collatz ConjectureSubmitted by Antoine Mhanna, 01.45 GMT, Friday 23rd October 2015, revised version submitted 11.00 GMT, Monday 9th November 2015.

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#73: A contribution to Brocard’s ProblemSubmitted by Robert D Matson, 17.30 GMT, Thursday 17th September 2015. 

“The purpose of this paper is to report on recent calculations that extend the lower limit on any fourth solution to the Brocard Problem by more than two orders of magnitude to n > 400 billion.“   Click here for full text.

 

#72: A contribution to the Perfect Cuboid ProblemSubmitted by Conor Williams, 11.45 GMT, Saturday 22nd August 2015. 

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#71: A contribution to the Beal Conjecture and Fermat’s Last TheoremSubmitted by Conor Williams, 21.30 GMT, Tuesday 11th August 2015. 

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#70: A contribution to the Perfect Cuboid ProblemSubmitted by Terry Raines, 14.15 GMT, Wednesday 5th August 2015. 

“I discovered the following simple method which seems to generalize most of the older search methods….it will find every primitive body cuboid exactly once.”  Click here for full text.

 

#69: A contribution to Elgar’s Music Box CipherSubmitted by Robert Padgett, 15.30 GMT, Monday 3rd August 2015. 

“Elgar loved puns, acrostics, secret codes and crossword puzzles. It should come as no surprise the Enigma Variations harbor numerous ciphers that encode the solutions to its three central riddles:”  Click here for full text.

 

#68: A contribution to the Riemann Hypothesis. Submitted by Choe Ryong Gil , 04.35 GMT, Thursday 23rd July 2015. 

“In this paper we consider the Riemann hypothesis by the primorial numbers.”  Click here for full text.

 

An archive of some older articles published prior to July 2015 can  be found here.

 

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Tim S Roberts

Email: timro21@gmail.com