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Define Prime numbers. Write the properties of prime numbers.

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Prime numbers are numbers greater than 1 that only have two factors, 1 and the number itself. This means that a prime number is only divisible by 1 and itself. If you divide a prime number by a number other than 1 and itself, you will get a non-zero remainder.

First Ten Prime Numbers

The first ten primes are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.

Properties of Prime Numbers:

  • Prime numbers are natural numbers greater than 1.
  • 2 is the smallest prime number.
  • 2 is the only even prime number. All the prime numbers except 2 are odd.
  • Any two prime numbers are always coprime.
  • Any composite number can be uniquely expressed as the product of its prime factors. 
  • A prime number has only two factors -1 and the number itself.
  • If two prime numbers have only 1 composite number between them, they are called twin-prime numbers.
  • Every even positive integer greater than 2 can be written as the sum of two prime numbers.
  • Every positive integer greater than 1 has at least one prime factor.

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