Chen Prime Number Theorem


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question 1 of 3

Fill in the blanks: A prime number is a number that is only divisible by _____ and itself. A semiprime number is a number that is the _____ of two primes.

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1. Which of the following states Chen's prime number theorem?

2. Which of the following is NOT an area that has been advanced by Chen's prime number theorem?

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About This Quiz & Worksheet

What does Chen's prime number theorem state? What is true of prime and semiprime numbers? This is knowledge you should possess when you use this quiz and corresponding worksheet tool.

Quiz & Worksheet Goals

For this quiz, you will need to:

  • Recognize facts about prime and semiprime numbers
  • Describe Chen's prime number theorem
  • List areas that have been advanced by Chen's theorem
  • Identify problems that represent 52 as a sum of two prime numbers and the number 26 as the sum of a prime and semiprime number

Skills Practiced

  • Reading comprehension - ensure that you draw the most important information from the lesson, such as what Chen's prime number theorem states
  • Information recall - access the knowledge you've gained regarding what areas have and have not been impacted by Chen's theorem
  • Knowledge application - use your knowledge to recognize examples of 52 and 26 as sums of two prime numbers and one prime and one semiprime number

Additional Learning

Access the lesson titled Chen Prime Number Theorem to gain more information about this topic. You will have the opportunity to review such details as:

  • Who discovered Chen's prime number theorem
  • Why this theorem is significant
  • What Goldbach's conjecture states