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 , 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! :)
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! :)