SOLUTION: My math teacher gave the class the following problem" (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 t

Algebra ->  Divisibility and Prime Numbers  -> Lessons -> SOLUTION: My math teacher gave the class the following problem" (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 t      Log On


   

Question 172501: My math teacher gave the class the following problem"
(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?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
My math teacher gave the class the following problem"

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?

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.



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

Edwin