Version 1
: Received: 20 March 2024 / Approved: 20 March 2024 / Online: 21 March 2024 (01:53:40 CET)
How to cite:
Hannusch, C. The Feit-Thompson Conjecture: An Example for Mathematical Research Based on Contradictory Sources. Preprints2024, 2024031214. https://doi.org/10.20944/preprints202403.1214.v1
Hannusch, C. The Feit-Thompson Conjecture: An Example for Mathematical Research Based on Contradictory Sources. Preprints 2024, 2024031214. https://doi.org/10.20944/preprints202403.1214.v1
Hannusch, C. The Feit-Thompson Conjecture: An Example for Mathematical Research Based on Contradictory Sources. Preprints2024, 2024031214. https://doi.org/10.20944/preprints202403.1214.v1
APA Style
Hannusch, C. (2024). The Feit-Thompson Conjecture: An Example for Mathematical Research Based on Contradictory Sources. Preprints. https://doi.org/10.20944/preprints202403.1214.v1
Chicago/Turabian Style
Hannusch, C. 2024 "The Feit-Thompson Conjecture: An Example for Mathematical Research Based on Contradictory Sources" Preprints. https://doi.org/10.20944/preprints202403.1214.v1
Abstract
The present study aims to show on the one hand how easily one can get confused when doing research on the internet. Different platforms, fora and homepages supply the visitor with different - and sometimes contradictory - information. On the other hand, we show how to overcome these contradictions and produce valuable research based on almost all sources. For our study, we use the example of the Feit-Thompson conjecture, which is - in opposite to the well-known Feit-Thompson theorem - not widely known. We try to clarify the scientific literature on this topic and we embed our own result into the present state of art. We prove that pq−1p−1 does not divide qp−1q−1 if p and q are twin primes, i.e. p=q+2. Thus we prove that the Feit-Thompson conjecture is true for twin prime numbers.
Keywords
Feit-Thompson conjecture; prime numbers; mathematical research; research education; twin primes, generalized twin prime conjecture
Subject
Computer Science and Mathematics, Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
