m (-wiki to wiles. it's on his page, which is linked from here anyhow. some cleanup on lks too) |
No edit summary |
||
| (36 intermediate revisions by 24 users not shown) | |||
| Line 1: | Line 1: | ||
| + | [[File:Fermat's last theorem.jpg|thumb|Fermat's last theorem]] |
||
| − | '''Fermat's |
+ | '''Fermat's last theorem''' is an algebraic statement proposed by [[Pierre de Fermat]]. |
| + | Following his death, a [[mathematics|mathematical]] formula was found scrawled in the margin of his notes, "x<sup>n</sup> + y<sup>n</sup> = z<sup>n</sup>, where n is greater than 2," which Fermat said had no solution in whole numbers, but he also added a phrase, "remarkable proof." |
||
| − | : It is impossible to separate any power higher than the second into two like powers, |
||
| + | According to [[Jean-Luc Picard]], people have been trying to find the proof for [[16th century|800 years]], including himself, during his pastime. Picard found it stimulating, and noted that it put things in perspective stating that "''in our arrogance, we feel we are so advanced and yet we cannot unravel a simple knot tied by a part-time [[French]] [[mathematician]] working alone without a [[computer]].''" ({{TNG|The Royale}}) |
||
| − | or, using more formal [[mathematics|mathematical]] notation: |
||
| ⚫ | |||
| − | : If an integer <math>n</math> is greater than 2, then <math>a^n + b^n = c^n</math> has no solutions in non-zero integers <math>a</math>, <math>b</math>, and <math>c</math>. |
||
| ⚫ | |||
| − | [[Captain]] [[Jean-Luc Picard]] was working on a proof for Fermat's last theorem as a pastime. ([[TNG]]: "[[The Royale]]") |
||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| + | [[de:Großer fermatscher Satz]] |
||
| − | ==Background== |
||
| + | [[fr:Dernier théorème de Fermat]] |
||
| ⚫ | |||
| + | [[Category:Mathematics]] |
||
| − | |||
| − | Fermat had claimed that he had found a simple proof for his last theorem without ever presenting it. No written records of that alleged proof could be found after his death. The proof by Wiles was lengthy, complex and essentially required advanced 20th century mathematical concepts, so it is extremely unlikely that Fermat had known Wiles' proof. So even if Fermat's last theorem was proved in 1993, the question remains open whether the simple proof Fermat claimed to have found exists or not. |
||
| − | |||
| ⚫ | |||
| ⚫ | |||
Revision as of 22:48, 29 January 2013
Fermat's last theorem
Fermat's last theorem is an algebraic statement proposed by Pierre de Fermat.
Following his death, a mathematical formula was found scrawled in the margin of his notes, "xn + yn = zn, where n is greater than 2," which Fermat said had no solution in whole numbers, but he also added a phrase, "remarkable proof."
According to Jean-Luc Picard, people have been trying to find the proof for 800 years, including himself, during his pastime. Picard found it stimulating, and noted that it put things in perspective stating that "in our arrogance, we feel we are so advanced and yet we cannot unravel a simple knot tied by a part-time French mathematician working alone without a computer." (TNG: "The Royale")
Jadzia Dax stated that one of her previous hosts, Tobin Dax, had "the most original approach to the proof since Wiles over 300 years ago." (DS9: "Facets")