That is a good idea.But the third one I may use Bertrand's Postulate some where.
Number theory is a branch of mathematics that focuses on the properties and relationships of integers, or whole numbers. It deals with topics such as prime numbers, divisibility, and modular arithmetic.
Number theory equations are mathematical expressions that involve integers and their properties. These equations can be used to solve problems related to divisibility, prime numbers, and other concepts in number theory.
Number theory equations have many practical applications, such as in cryptography, coding theory, and computer security. They can also be used in fields such as economics, physics, and engineering to model and solve various problems.
Some famous number theory equations include Fermat's Last Theorem, which states that there are no positive integer solutions to the equation xn + yn = zn for n > 2, and the Goldbach Conjecture, which proposes that every even integer greater than 2 can be expressed as the sum of two prime numbers.
Yes, there are many unsolved problems in number theory, some of which have been open for centuries. These include the Riemann Hypothesis, which deals with the distribution of prime numbers, and the Collatz Conjecture, which proposes that every positive integer will eventually reach 1 when using a specific sequence of operations.