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Beal Disproof Thirteen Times with Geometric Disproof Five Times with Line Bending into an Arc as Two Disproof or Stretched from 16 to 17 Once as One Disproof with Ramanujan’s Taxi Cab Number as Last Disproof or Counterexample


Authors : James T. Struck

Volume/Issue : Volume 11 - 2026, Issue 5 - May


Google Scholar : https://tinyurl.com/2htdeu9c

Scribd : https://tinyurl.com/3579d4nk

DOI : https://doi.org/10.38124/ijisrt/26May093

Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.


Abstract : Here we show Beal conjecture shown false thirteen times focusing on a line segments as the key disproof a line can be compressed into an arc of shorter length connecting two non-prime or composite numbers or stretched from 16 into 17. I also site Ramanujan’s taxi cab number as counterexample 13

Keywords : Prime Numbers, Common, Not Common Prime Factors, Beal Conjecture, Geometry, Pentagon, Triangle.

References :

  1. Mathematics for the Million, Lancelot Hogben, 1940.
  2. https://en.wikipedia.org/wiki/Srinivasa_Ramanujan#Further_works_of_Ramanujan's_mathematics, accessed  4/27/2028 as editor asked to provide references. I accessed similar site in 2013 when I found out about the Beal conjecture. I was going in the back of their journal, collection in display to find problems. I graduated in 1989 In Religion in the Humanities with a BA
  3. Citing a website I saw. Unclear which internet or web site  in 2013. Relying on memory.
  4. Ideas about S. Ramanujan influenced this disproof example

Here we show Beal conjecture shown false thirteen times focusing on a line segments as the key disproof a line can be compressed into an arc of shorter length connecting two non-prime or composite numbers or stretched from 16 into 17. I also site Ramanujan’s taxi cab number as counterexample 13

Keywords : Prime Numbers, Common, Not Common Prime Factors, Beal Conjecture, Geometry, Pentagon, Triangle.

Paper Submission Last Date
31 - May - 2026

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