Question
Prime numbers.with example
Answers
GPT-4o mini
Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. In other words, a prime number can only be divided evenly (without a remainder) by 1 and the number itself.
**Examples of prime numbers:**
- 2 (the only even prime number)
- 3
- 5
- 7
- 11
- 13
- 17
- 19
- 23
- 29
### Explanation:
- **2**: Divisors are 1 and 2 (prime)
- **3**: Divisors are 1 and 3 (prime)
- **4**: Divisors are 1, 2, and 4 (not prime)
- **5**: Divisors are 1 and 5 (prime)
- **6**: Divisors are 1, 2, 3, and 6 (not prime)
### Note:
- The smallest prime number is 2, and it is also the only even prime number. All other even numbers can be divided by 2, and thus they cannot be prime.
- Prime numbers are important in various fields, including mathematics, computer science, and cryptography.
**Examples of prime numbers:**
- 2 (the only even prime number)
- 3
- 5
- 7
- 11
- 13
- 17
- 19
- 23
- 29
### Explanation:
- **2**: Divisors are 1 and 2 (prime)
- **3**: Divisors are 1 and 3 (prime)
- **4**: Divisors are 1, 2, and 4 (not prime)
- **5**: Divisors are 1 and 5 (prime)
- **6**: Divisors are 1, 2, 3, and 6 (not prime)
### Note:
- The smallest prime number is 2, and it is also the only even prime number. All other even numbers can be divided by 2, and thus they cannot be prime.
- Prime numbers are important in various fields, including mathematics, computer science, and cryptography.