Imagine if every subatomic particle in the universe held its own little 
universe. And every subatomic particle in those little universes held 
their own universes... And this continued on as many times as there are 
subatomic particles in the universe. Now imagine that
every one of those subatomic particles in every one of those universes
combined to form a single large supercomputer, so that every subatomic 
particle provided the equivalent of a million 10000 yottahertz P4 
machines with over a billion yottabytes of ram per machine. Now imagine
if this massive supercomputer began trying to check if
2^(2^13466917 - 1) - 1 is prime using the Lucas-Lehmer test.....

Now envision yourself sitting there and waiting for a

very ....
very ....
very ....
long time.


But really...

Testing this number would take at least 2^(2^13466917 - 1) - 1 bits of 
storage. The supercomputer described above would not even come
close to having enough RAM to store that. If it did, the LL test would 
then require approximately 2^13466917 - 1 massive iterations. If the 
computer above could do each iteration in
0.000000000000000000000000000000000000000000000000000000000000001 
seconds, the amount of seconds required to complete the task would
still be significantly more than 4,000,000 digits. Thats
incomprehensible.




Regards, David Meyer ([EMAIL PROTECTED])



Nathan Ranks wrote:

> How long would it take to check (2^((2^13466917)-1))-1 which would be 
> the 39th known prime back in the mersenne number formula (2^p)-1?
> 



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