Is number theory easy?

Number theory is very easy to start learning—the basics are accessible to high school/middle schools kids. You can wander in deeper, picking up algebraic and analytic number theory, although that will require more sophisticated tools—however, these will still be tools accessible to advanced undergraduate students.

Is analytic number theory hard?

This is a rigorous but often terse book which I liked but many others on the course seemed to find difficult. The course was very interesting and contains a fascinating insight into the mathematics required to attack the Prime Number Theorem.

Why is it called Fermat’s Last Theorem?

By far the most famous is the one called Fermat’s Last Theorem: This result is called his last theorem, because it was the last of his claims in the margins to be either proved or disproved. Few (now) believe Fermat had found the proof he claimed. Wiles found the first accepted proof in 1995, some 350 years later.

Did Fermat really have a proof?

Although he claimed to have a general proof of his conjecture, Fermat left no details of his proof, and no proof by him has ever been found. Attempts to prove it prompted substantial development in number theory, and over time Fermat’s Last Theorem gained prominence as an unsolved problem in mathematics.

Why is number theory so interesting?

Description: The number theory helps discover interesting relationships between different sorts of numbers and to prove that these are true . Number Theory is partly experimental and partly theoretical. Experimental part leads to questions and suggests ways to answer them.

Is number theory algebra or analysis?

The obvious answer is that Algebraic Number Theory uses techniques from algebra to answer number theory questions, while Analytic Number Theory uses techniques from analysis. But that’s a bit pedantic. There is a certain degree to which analytic number theory is “about” the order properties of the natural numbers.

What is Fairmont’s theorem?

Fermat’s last theorem, also called Fermat’s great theorem, the statement that there are no natural numbers (1, 2, 3,…) x, y, and z such that xn + yn = zn, in which n is a natural number greater than 2.

What proof did Pierre de Fermat offer for his famous Last Theorem?

Thus, we are compelled to gamble. What proof did Pierre de Fermat offer for his famous “Last Theorem?” A. His proof was the simple statement, “Because I said so,” assuming his reputation was sufficient for people to believe it.

Who proved Fermat’s little theorem?

63). This is a generalization of the Chinese hypothesis and a special case of Euler’s totient theorem. It is sometimes called Fermat’s primality test and is a necessary but not sufficient test for primality. Although it was presumably proved (but suppressed) by Fermat, the first proof was published by Euler in 1749.

Is Andrew Wiles proof correct?

Wiles initially presented his proof in 1993. It was finally accepted as correct, and published, in 1995, following the correction of a subtle error in one part of his original paper.