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Results tagged with reference-request
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user 19844
This tag is used if a reference is needed in a paper or textbook on a specific result.
8
votes
Fermat's proof for $x^3-y^2=2$
Lemma.
Let $a$ and $b$ be coprime integers, and let $m$ and $n$ be positive integers such that $a^2+2b^2=mn$. Then there are coprime integers $r$ and $s$ such that $m=r^2+2s^2$ divides $br-as$. Furthe …
- 1,055
13
votes
Fermat's proof for $x^3-y^2=2$
A completely elementary proof can be found on page 561 of the Nov 2012 edition of The Mathematical Gazette, where a descent mechanism first used by Stan Dolan in the March 2012 edition is adapted (as …
- 1,055