+1908 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! :)
+1908 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! :)
