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Fermat's Equation Has No Solution with S...

Chou, Yu-Lin...

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Fermat's Equation Has No Solution with Some Prime Components by Chou, Yu-Lin ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	17-08-2023
Summary	Within the scope of elementary number theory, we prove that, as the main result, if $1 \leq x < y < z$ are integers such that at least one of $y, z, x+y$ is prime then $x^{n}+y^{n} \neq z^{n}$ for every odd integer $n \geq 3$. This result covers a special case of a conjecture of Abel, and furnishes a definite way to construct infinitely many setwise coprime integers that do not satisfy the Fermat's equation uniformly in $n$.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1505.02457

Citation

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AMA 11th EditionReferences

Chou, Yu-Lin. Fermat's Equation Has No Solution with Some Prime Components. Australian National University. August 17, 2023. Accessed October 01, 2025. https://online.provdatabase.com/cite/18579

APA 7th EditionReferences

Chou, Yu-Lin. (2023). Fermat's Equation Has No Solution with Some Prime Components. Australian National University. https://online.provdatabase.com/cite/18579

Chicago 17th EditionReferences

Chou, Yu-Lin. Fermat's Equation Has No Solution with Some Prime Components. Australian National University. 2023. https://online.provdatabase.com/cite/18579

HarvardReferences

Chou, Yu-Lin. (2023). Fermat's Equation Has No Solution with Some Prime Components. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/18579. (Accessed 01 October 2025).

Harvard AustraliaReferences

Chou, Yu-Lin, 2023, Fermat's Equation Has No Solution with Some Prime Components, Australian National University, viewed 01 October 2025, <https://online.provdatabase.com/cite/18579>

MLA 9th EditionWorks Cited

Chou, Yu-Lin. Fermat's Equation Has No Solution with Some Prime Components. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/18579.

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