Beginner Exercises on Prime numbers and Equality / Inequality proofs

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Thread starter tmt1
Start date Dec 6, 2015
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Beginner Exercises Inequality Numbers Prime Prime numbers Proofs

In summary, prime numbers are positive integers that are only divisible by 1 and themselves, and they are important for their unique properties and role in mathematics. To determine if a number is prime, you can use methods such as trial division or the Sieve of Eratosthenes. An equality proof is a mathematical statement that shows two quantities are equal, and it involves using operations and properties to manipulate equations. An inequality proof is similar, but it shows that two quantities are not equal. To practice beginner exercises on prime numbers and equality/inequality proofs, you can use online resources, create your own practice problems, or seek help from a tutor.

Dec 6, 2015

tmt1

Does anyone know a good resource for exercises on these topics?

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Dec 6, 2015

Sudharaka

Gold Member

MHB

tmt said:

Does anyone know a good resource for exercises on these topics?

Hi tmt, :)

One of the resources I recommend for basic exercises about prime numbers is Kahn Academy; https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_numbers/e/prime_numbers

1. What are prime numbers and why are they important?

Prime numbers are positive integers that are only divisible by 1 and themselves. They are important because they have unique properties and are the building blocks for larger numbers. Prime numbers are also used in various mathematical equations and algorithms.

2. How can I determine if a number is prime?

To determine if a number is prime, you can use the trial division method. This involves dividing the number by all smaller numbers, up to the square root of the number. If the number is only divisible by 1 and itself, then it is prime. There are also other more advanced methods, such as the Sieve of Eratosthenes, that can be used to find prime numbers.

3. What is an equality proof and how do I write one?

An equality proof is a mathematical statement that shows that two quantities are equal. To write an equality proof, you must first state the given information and what you are trying to prove. Then, you can use mathematical operations and properties to manipulate the equations and show that they are equal. It is important to clearly explain each step and justify your reasoning.

4. What is an inequality proof and how is it different from an equality proof?

An inequality proof is similar to an equality proof, except it shows that two quantities are not equal. It involves using mathematical operations and properties to manipulate the equations and show that they are not equal. Inequality proofs require careful attention to the direction of the inequality symbol and may involve additional steps compared to an equality proof.

5. How can I practice beginner exercises on prime numbers and equality/inequality proofs?

There are various online resources and textbooks that offer practice exercises on prime numbers and equality/inequality proofs. You can also create your own practice problems by using random numbers and creating equations to solve. Additionally, working with a study group or seeking help from a math tutor can also be beneficial for practicing these concepts.