When we use Hodge conjecture to make geometric topological superstructure, a manifold will appear. The whole of this manifold is Fermat's last theorem, and Riemann conjecture is needed to calculate the local part of this structure. Francis Goudry's conjecture in 1852 only needs four colors to color the map, and the construction method is Hodge conjecture. The given distance between two connected manifolds can be equivalently transformed into traveling salesman problem.
In number theory, the most important element is prime number. Euclid proved that there are infinitely many prime numbers, and one of their characteristics is pairwise coprime. Manifold sieve throws even numbers in. Goldbach conjectures that even numbers greater than 4 will not escape the net, except 6=3+3, all other even numbers can be intercepted in different prime numbers.
Drawing lines on manifolds at will requires Riemann conjecture calculation. Euler formula is needed to calculate imaginary part. In physics, vacuum is the "zero point" of energy. Riemann conjecture is associated with physics and Fermat's last theorem. The progress of geometric topology is the source of creating algebra or number theory. To create a new algebraic structure, we must find a new geometric structure for it.
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Related contents of Fermat's last theorem:
Germain, a self-taught French mathematician in the early 19th century, proved that when n and 2n+ 1 are prime numbers, at least one of the counterexamples of Fermat's last theorem, X, Y and Z, is an integer multiple of n. On this basis, 1825, the German mathematician Dirichlet and the French mathematician Legendre used the generalization of Euler's method, but avoided the unique factorization theorem and independently proved it.
2. 1847, the Paris Academy of Sciences staged a dramatic scene. At that time, famous mathematicians Lame and Cauchy announced that Fermat's last theorem had been basically proved. Lame also claimed that the proof cited the unique factorization theorem in joseph liouville's complex number system, while joseph liouville claimed that this theorem originated from the ideas of Euler and Gauss.
Baidu encyclopedia-Fermat's last theorem