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What is the fifth smallest prime number greater than 100?

 Jun 14, 2024

Best Answer 

 #1
avatar+1280 
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We can keep couting up and up until we get prime numbers. 

 

First, we have \(101\). Notice it's only divisble by 1 and itself, so there's the first prime. 

All the even numbers obviously don't work, so we skip them. 

 

Next, we have \(103\). It also is only divisble by 1 and itself, so that's the second prime. 

Third, we have 105. It's divisble by 5, so it doesn't work. 

Then, we have \(107\), which is also a prime number. 

\(109\) is also prime, so we count that as our fourth prime number

111 is divisble by 3 and 37, so it doesn't work.

 

However, \(113\) is prime, so that's the smallest. 

 

So 113 is our answer. 

 

Thanks! :)

 Jun 14, 2024
 #1
avatar+1280 
+1
Best Answer

We can keep couting up and up until we get prime numbers. 

 

First, we have \(101\). Notice it's only divisble by 1 and itself, so there's the first prime. 

All the even numbers obviously don't work, so we skip them. 

 

Next, we have \(103\). It also is only divisble by 1 and itself, so that's the second prime. 

Third, we have 105. It's divisble by 5, so it doesn't work. 

Then, we have \(107\), which is also a prime number. 

\(109\) is also prime, so we count that as our fourth prime number

111 is divisble by 3 and 37, so it doesn't work.

 

However, \(113\) is prime, so that's the smallest. 

 

So 113 is our answer. 

 

Thanks! :)

NotThatSmart Jun 14, 2024

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