Question 172501
My math teacher gave the class the following problem"

{{{matrix(1,5,(1+1/2)(1+1/3)(1+1/5)(1+1/7)(1+1/11),"...",(1+1/prime), ">", 10 )}}}

What is the first prime number that works in the above?"

He told us that if we could answer the problem within a week we could get bonus points on the exam. Could you please help me solve this problem?
<pre><font size = 4 color = "indigo"><b>
I did it by writing a Liberty Basic computer program. 
You have to go to the 1245th prime, which is 10141,
before the product exceeds 10.

{{{matrix(1,7,(1+1/2)(1+1/3)(1+1/5)(1+1/7)(1+1/11),"...",(1+1/10141), "=", 10.0008518, ">", 10 )}}}

So the answer is that 10141, which is the 1245th prime, is the
smallest prime number such that the product exceeds 10.

Edwin</pre>