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 ->  Algebra  -> Divisibility and Prime Numbers -> 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

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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(6939) About Me  (Show Source):
You can put this solution on YOUR website!
My math teacher gave the class the following problem"
matrix%281%2C5%2C%281%2B1%2F2%29%281%2B1%2F3%29%281%2B1%2F5%29%281%2B1%2F7%29%281%2B1%2F11%29%2C%27...%27%2C%281%2B1%2Fprime%29%2C+%27%3E%27%2C+10+%29
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.

matrix%281%2C7%2C%281%2B1%2F2%29%281%2B1%2F3%29%281%2B1%2F5%29%281%2B1%2F7%29%281%2B1%2F11%29%2C%27...%27%2C%281%2B1%2F10141%29%2C+%27=%27%2C+10.0008518%2C+%27%3E%27%2C+10+%29

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

Edwin