The problem is that when n>2, the indefinite equation X N+Y N = Z N has no positive integer solution. Mathematically, this is called Fermat's Last Theorem, which is also called "Book Edge Theorem" and "Fermat's Last Theorem". In order to get a positive or negative proof of it, generations of the best mathematicians have studied it several times in history, and even using modern electronic computers can only prove that Fermat's Last Theorem is correct when n is less than or equal to 465,438+0 million. At that time, Fermat claimed that he had solved the problem, but he did not publish the results, leaving a rare eternal mystery on this mathematical problem.
1On June 24th, 993, The New York Times, a world-recognized authoritative newspaper, published a news about solving mathematical problems. The headline of the news is "In the ancient mathematical dilemma, someone finally said" I found it ".
In the 1950s, Yutaka Taniyama, a Japanese mathematician, first put forward a conjecture about elliptic curves, which was later developed by Goro Shimamura, another mathematician. At that time, no one thought that this conjecture had anything to do with Fermat's last theorem. In 1980s, German mathematician Frey linked Yutai Taniyama's conjecture with Fermat's last theorem. What andrew wiles did was to prove that one form of Yutai Taniyama's conjecture was correct according to this connection, and then deduced Fermat's last theorem.
This conclusion was officially published by Willis at the seminar of Newton Institute of Mathematics, Cambridge University, USA on June 2 1, 1993. This report immediately shocked the whole mathematics field, and even the public outside the mathematics door paid infinite attention. However, wiles's certificate was immediately found to have some defects, so it took wiles and his students 14 months to correct it. 1September 1994 19 They finally handed over a complete and flawless scheme, and the nightmare of mathematics finally ended. 1In June 1997, wiles won the Wolfskeil Prize at the University of G? ttingen. At that time,100000 counterfeit goods were about $2 million, but when wiles received them, it was only worth about $50000, but andrew wiles has gone down in history and will be immortal.
Description:
Prove Fermat's last theorem is correct
(that is, x n+y n = z n for n > =3 has no positive integer solution)
It is only necessary to prove that x 4+y 4 = z 4, x p+y p = z p (p is an odd prime number) has no integer solution.