What are the prime numbers less than 15?

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The prime numbers are those natural numbers greater than 1 that can only be divided by 1 and themselves without leaving a remainder. To find the set of prime numbers that are less than 15, we can list the natural numbers starting from 2 and check each number for primality:

  • 2 (Prime)
  • 3 (Prime)
  • 4 (Not Prime, divisible by 2)
  • 5 (Prime)
  • 6 (Not Prime, divisible by 2 and 3)
  • 7 (Prime)
  • 8 (Not Prime, divisible by 2)
  • 9 (Not Prime, divisible by 3)
  • 10 (Not Prime, divisible by 2)
  • 11 (Prime)
  • 12 (Not Prime, divisible by 2 and 3)
  • 13 (Prime)
  • 14 (Not Prime, divisible by 2)
  • 15 (Not Prime, divisible by 3 and 5)

Based on this analysis, the prime numbers less than 15 are:

  1. 2
  2. 3
  3. 5
  4. 7
  5. 11
  6. 13

So, the final set of prime numbers less than 15 is {2, 3, 5, 7, 11, 13}.

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