The largest prime number between 1 and 1000 is 997.
Prime numbers are whole numbers greater than 1 that are only divisible by 1 and themselves. Identifying prime numbers, especially large ones, often involves testing divisibility by smaller prime numbers. The provided reference confirms this fact, stating that 997 is the largest prime number in the specified range.
Here's a quick recap of prime numbers and how to identify them:
- Definition: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
- Examples: 2, 3, 5, 7, 11, 13, and so on.
- Checking for Primality: To determine if a number 'n' is prime, you can test divisibility by all prime numbers less than or equal to the square root of 'n'. If none of these prime numbers divide 'n' evenly, then 'n' is prime.
Here's an example for a smaller number. To check if 31 is prime, you'd only need to test divisibility by 2, 3, and 5 because the next prime number, 7, has a square that is greater than 31.
| Number | Divisible by | Result | Prime? |
|---|---|---|---|
| 31 | 2 | No | |
| 31 | 3 | No | |
| 31 | 5 | No | Yes |
