I have an idea about finding the largest prime number that I'd like to share with you guys and hear your feedback.
The idea is to use many computers to find the largest possible prime number, by using the power of web.
We know what the largest prime number already found is, so we will make a website that will start counting from that number.
Each visitor who is willing to participate will be assigned a number, with client side scripting we will try to find out if that number is prime or not, as long as the visitor stays on that website his computer will be used to find out if the number assigned to him is prime or not.
If he leaves the website for any reason, his browser will remember the calculations that have already been done and we will continue with that in his next visit. If he doesn't come back in a certain period of time, then we will remember the results of the last calculation and assign the number to someone else.
New visitors will be given a new number that has not been tested before.
If the number is found not to be prime we flag that in a database, and move to the next one.
To optimize the algorithms we will start a forum in which mathematicians and computer scientists will try to improve the code and the whole system on regular basis.
My question now is, is there something fundamentally wrong with this method? am I missing something huge? Is it worth trying?