Q: How is the number theory different from arithmetic?

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At the simple level: Arithmetic. More complex level: Number theory. But NOT numerology which is not a science but superstition.

The history of arithmetic progression started with Euler. Later is was refined by Dirichlet which led to his theory of arithmetic progression.

The arithmetic mean of a single number, such as 1784298281, is the number itself.

The crucial importance of prime numbers to number theory and mathematics in general stems from the fundamental theorem of arithmetic.

The arithmetic mean of one number, such as 104410231017 is still simply that number.

Related questions

its not different

Number theory explains why arithmetic works.

arithmetic starts with m while number theory starts with n

Generally you would start with number theory, then arithmetic.

the main branches of mathematics are algebra, number theory, geometry and arithmetic.

H. Davenport has written: 'The higher arithmetic' -- subject(s): Number theory, Theory of Numbers

It is different.

At the simple level: Arithmetic. More complex level: Number theory. But NOT numerology which is not a science but superstition.

Number theory (or arithmetic) is a branch of pure mathematics devoted primarily to the study of the integers, sometimes called "The Queen of Mathematics" because of its foundation place in the discipline.en.wikipedia.org/wiki/Number_theor

H. Halberstam has written: 'The uses of arithmetic' -- subject(s): Arithmetic 'Analytic Number Theory' 'Sieve methods' -- subject(s): Sieves (Mathematics)

Arithmetic is one small part of mathematics. The latter includes algebra, calculus, geometry and trigonometry, probability and statistics - all of which you will come across during school. Then there are others such as game theory, decision thoery, linear programming, number theory etc most of which you probably will not come across unless you choose to study mathematics at a higher level.

Mathematics (math) is a broad field of endeavour, which includes arithmetic. Arithmetic is the part which deals with numbers (and their interactions) only. Other math fields are Number Theory, complex numbers, graph theory, differential calculus, many others.