What are all the prime numbers between 20 and 30?

The prime numbers between 20 and 30 are 23 and 29.

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. To find the prime numbers in this range, we can check each number from 21 to 29:

  • 21: Not prime (divisible by 3 and 7)
  • 22: Not prime (divisible by 2 and 11)
  • 23: Prime (no divisors other than 1 and 23)
  • 24: Not prime (divisible by 2, 3, 4, 6, 8, and 12)
  • 25: Not prime (divisible by 5)
  • 26: Not prime (divisible by 2 and 13)
  • 27: Not prime (divisible by 3 and 9)
  • 28: Not prime (divisible by 2, 4, 7, and 14)
  • 29: Prime (no divisors other than 1 and 29)

Thus, within the range of 20 to 30, the only primes are 23 and 29.

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