Input a number to check if it's a prime number, or define a range to generate all prime numbers within that range.
A prime number is a natural number greater than 1 that has no divisors other than 1 and itself. In simpler terms, a prime number can only be divided evenly by 1 and itself. Examples of prime numbers include 2, 3, 5, 7, 11, and so on. Prime numbers are unique because they lack any other factors apart from 1 and themselves.
Follow these steps to check if a number is a prime:
Solution:
Check divisors from 2 to \( \sqrt{45} \approx 6.7 \).
Divide 45 by 5.
Result: 45 is not a prime number.
Solution:
Check divisors from 2 to \( \sqrt{57} \approx 7.55 \).
Divide 57 by 3.
Result: 57 is not a prime number.
Solution:
Check divisors from 2 to \( \sqrt{71} \approx 8.426 \).
No divisor results in a whole number.
Result: 71 is a prime number.