Fermat's Last Theorem simple proof - Mathematics Stack Exchange
There is a "trick", due to Marc Krasner, which prevents you from wasting time in examining "elementary" arithmetic proofs of Fermat's Last Theorem. "Elementary" means precisely that the proof uses only addition and multiplication (operations in a ring ), and perhaps also the existence and unicity of decomposition into prime factors (so the ring ...
What was Lame's proof? - Mathematics Stack Exchange
2014年10月1日 · Lamé concludes by explaining why Fermat's last theorem is a special case of the above. For me this seems obvious since it seems to me we've proven the theorem for $\mathbb Z[r]$, and $\mathbb Z\subset\mathbb Z[r]$, but for some reason Lamé continues with a fairly involved final paragraph.
knowledge needed to understand Fermat's last theorem proof
The standard introduction to the argument is the graduate text "Modular forms and Fermat's Last Theorem" (edited by Cornell, Silverman, and Stevens). Another is provided by the long article titled "Fermat's Last Theorem" of Darmon, Diamond, and Taylor.
Recent developments in the proof of fermat's last theorem
2020年5月11日 · It's been 20 years since fermat's last theorem was proved by Andrew Wiles. Has there been any simplification in proof in the last 20 years? What I do only know is that different proofs of faltings's theorem were given by Vojta and Bombieri.
number theory - On elementary proofs of Fermat's Last Theorem ...
2017年5月20日 · The last theorem of Fermat, due to the efforts of lay people, has the stigma of a perpetual motion machine. But we remember that the same stamp had a meteorite theme ... A serious mathematician will seriously think before publishing a proof for the general case.
number theory - Fermat's 'proof' of his Last Theorem
2013年3月8日 · Nowadays it is known that Fermat's Last Theorem cannot be proved by certain types of descent proofs similar to the classical simple proofs known for small exponents (search for "Tate Shafarevich obstruction"). Below is Andre Weil's opinion on this matter, from his historical treatise Number Theory, p.104. As we have observed in Chap.
number theory - Does ABC implies Fermat's last theorem?
2015年2月20日 · From Wolfram MathWorld, Fermat's Last Theorem for sufficiently large powers is a consequence of the abc conjecture. So, if Mochizuki's proof is valid, then it would show this. Share
number theory - Fermat last theorem - Mathematics Stack Exchange
2021年4月22日 · Fermat's Last Theorem - Special Case of Sophie Germain Primes. 11. knowledge needed to understand Fermat's ...
Fermat's last theorem and - Mathematics Stack Exchange
$\begingroup$ It's probably done in Harold M. Edwards' book, Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory. $\endgroup$ – Gerry Myerson Commented Apr 26, 2015 at 8:51
Is there an elementary proof for Fermat's last theorem?
2011年3月3日 · Returning to the specific topic at hand, it is known that Fermat's Last Theorem cannot be proved by certain types of descent proofs similar to the classical simple proofs known for small exponents. References to such work can probably be located by Googling "Tate Shafarevich obstruction".