Pythagorean Triples and Fermat’s Last Theorem Proven in One Page
New Insights into Physical Science Vol.3,
Page 1-5
Abstract
We attempt to obtain Pythagorean triples by a simple method consisting in transforming the relation between integers into an equation in by introduction of a parameter . By this way we obtain easily Pythagorean triples for each choice of . Following this example we introduce also a suitable parameter totransform the relation into an equation in which must have only one multiple root, i.e. must have coefficients alternated in signs. Observing that this happens only for and not at all for , we arrive to conclude that the equation has roots only for and no root for thus prove the Fermat’s last theorem.
Keywords:
- Pythagorean triples
- Fermat’s last theorem
How to Cite
Si, D. T. (2020). Pythagorean Triples and Fermat’s Last Theorem Proven in One Page. New Insights into Physical Science Vol.3, 1-5. Retrieved from https://stm1.bookpi.org/index.php/nips-v3/article/view/1811
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