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   All contributions are as supplied by the author, and are not peer-reviewed.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.

 

#102: A contribution to the Perfect Cuboid Problem. Submitted by  Mark Griffith, 21.30 GMT, Thursday 6th July 2017.

Click here for a diagram and herefor full text.

#101: A contribution to the Perfect Cuboid Problem. Submitted by  Lawrence Wagner, 03.30 GMT, Friday 2nd June 2017.

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#100: Two contributions to the Perfect Cuboid Problem. Submitted by  Terry Raines, 14.00 GMT, Friday 27th May 2017.

Click here and here for full text.

#99: A contribution to Brocard's Problem. Submitted by  Robert Matson, 01.30 GMT, Wednesday 3rd May 2017.

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#98: A contribution to the Riemann Hypthesis. Submitted by  Nicholas Wright, 19.30 GMT, Saturday 29th April 2017.

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#97: A contribution to the Riemann Hypthesis. Submitted by  Choe Ryong Gil, 11.00 GMT, Wednesday 19th April 2017.

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#96: A contribution to both Fermat's Last Theorem and the Beal Conjecture. Submitted by  Carlos Santacruz, 21.00 GMT, Tuesday 18th April 2017.

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#95: A contribution to the Riemann Hypothesis. Submitted by  Pedro Caceres, 05.15 GMT, Wednesday 29th March 2017.

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#94: A contribution to the Goldbach Conjecture. Submitted by  Pedro Caceres, 05.15 GMT, Wednesday 29th March 2017.

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#93: A contribution to the Riemann Hypothesis. Submitted by  Tatenda Kubalalika, 16.30 GMT, Saturday 4th March 2017.

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#91 and #92: Two contributions to number theory and the Magic Square of Squares problem. Submitted by  Lee Morgenstern, 14.00 GMT, Friday 3rd March 2017.

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#90: A contribution to Fermat's Last Theorem. Submitted by  Tatenda Kubalalika, 12.00 GMT, Wednesday 1st March 2017.

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#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 Solomon 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.

 

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