#1**+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 \(2001=3*667\), and it has 8 factors, so it is composite.

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

We have \(2007=3*669\), so 2007 is composite.

\(2009 = 7*287\), so 2009 is composite.

\(2011\) is prime.

\(2013=671*3\), so 2013 is composite.

\(2017 \text{and} 2027\) are prime, but everything in between is composite.

\(2029\) is prime, so that's our final answer.

So 2029 is our answer.

Thanks! :)

NotThatSmart Jun 16, 2024

#1**+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 \(2001=3*667\), and it has 8 factors, so it is composite.

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

We have \(2007=3*669\), so 2007 is composite.

\(2009 = 7*287\), so 2009 is composite.

\(2011\) is prime.

\(2013=671*3\), so 2013 is composite.

\(2017 \text{and} 2027\) are prime, but everything in between is composite.

\(2029\) is prime, so that's our final answer.

So 2029 is our answer.

Thanks! :)

NotThatSmart Jun 16, 2024