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What is the fifth smallest prime number greater than 2000?

 Jun 15, 2024

Best Answer 

 #1
avatar+1952 
+1

We don't have to consider any numbers ending with 5 or even, since we know they are composite numbers. 

,

So now, we go through a list. 

 

First, start with 2001. We have 2001=3667, and it has 8 factors, so it is composite. 

2003 is prime, as it is only divisible by 1 and itself. 

 

We have , so 2007 is composite. 

 

, so 2009 is composite. 

 

 is prime. 

 

, so 2013 is composite.

 

 are prime, but everything in between is composite. 

 

 is prime, so that's our final answer. 

 

So 2029 is our answer. 

 

Thanks! :)

 Jun 16, 2024
 #1
avatar+1952 
+1
Best Answer

We don't have to consider any numbers ending with 5 or even, since we know they are composite numbers. 

,

So now, we go through a list. 

 

First, start with 2001. We have , and it has 8 factors, so it is composite. 

2003 is prime, as it is only divisible by 1 and itself. 

 

We have , so 2007 is composite. 

 

, so 2009 is composite. 

 

 is prime. 

 

, so 2013 is composite.

 

 are prime, but everything in between is composite. 

 

 is prime, so that's our final answer. 

 

So 2029 is our answer. 

 

Thanks! :)

NotThatSmart Jun 16, 2024

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