Write -the-least prime number greater than'
2, can you help me find it?"
/. Write -the-least primenumber greater than'
a) 10 b)20 c)30 d) 40
a) The least prime number greater than 10 is 11.
b) The least prime number greater than 20 is 23.
c) The least prime number greater than 30 is 31.
d) The least prime number greater than 40 is 41.
To find the least prime number greater than a given number, you can follow these simple steps:
1. Start with the given number. Let's call it N.
2. Increment N by 1 to get a new number, N+1.
3. Check if N+1 is a prime number. A prime number is a number greater than 1 that is only divisible by 1 and itself.
4. If N+1 is not prime, repeat steps 2 and 3 until you find the least prime number greater than N.
5. Once you find a prime number, that will be the least prime number greater than the given number.
For example, if the given number is 10, we can start with N = 10 and follow the steps:
1. N = 10
2. N+1 = 11
3. Check if 11 is prime. In this case, 11 is indeed a prime number.
4. Since 11 is a prime number, it is the least prime number greater than 10.
Therefore, the least prime number greater than 10 is 11.
To find the least prime number greater than a given number, you need to understand what prime numbers are and how to determine if a number is prime.
Prime numbers are numbers that are greater than 1 and have no divisors other than 1 and themselves. In other words, prime numbers are not divisible evenly by any other number except 1 and the number itself.
To find the least prime number greater than a given number, you can use a simple algorithm:
1. Start with the given number and add 1 to it.
2. Check if the resulting number is a prime number.
3. If it is prime, you have found the least prime number greater than the given number.
4. If it is not prime, repeat steps 2 and 3 with the next number (incrementing by 1 each time) until you find a prime number.
Let's illustrate this with an example:
Suppose we want to find the least prime number greater than 10.
1. Start with 10 and add 1: 10 + 1 = 11.
2. Check if 11 is a prime number.
3. Since 11 is prime, the least prime number greater than 10 is 11.
Therefore, the least prime number greater than 10 is 11.
Using this algorithm, you can find the least prime number greater than any given number.