1. what is the smallest 2 digit prime number
Solution:
smallest 2 digit number is 10
next prime after 10
We need to test each number to find the next prime
10 is not prime, because it is divisible by 2
11 is prime, So Prime:1 = 11
Next prime after 10
11
So, 11 is the smallest 2 digit prime number.
2. what is the smallest 3 digit prime number
Solution:
smallest 3 digit number is 100
next prime after 100
We need to test each number to find the next prime
100 is not prime, because it is divisible by 2
101 is prime, So Prime:1 = 101
Next prime after 100
101
So, 101 is the smallest 3 digit prime number.
3. what is the smallest 4 digit prime number
Solution:
smallest 4 digit number is 1000
next prime after 1000
We need to test each number to find the next prime
1000 is not prime, because it is divisible by 2
1001 is not prime, because it is divisible by 7
1002 is not prime, because it is divisible by 2
1003 is not prime, because it is divisible by 17
1004 is not prime, because it is divisible by 2
1005 is not prime, because it is divisible by 3
1006 is not prime, because it is divisible by 2
1007 is not prime, because it is divisible by 19
1008 is not prime, because it is divisible by 2
1009 is prime, So Prime:1 = 1009
Next prime after 1000
1009
So, 1009 is the smallest 4 digit prime number.
This material is intended as a summary. Use your textbook for detail explanation.
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