[QUOTE=retina;105300]Hehe, just for fun I make a definite statement about the primality of a really really big number.

MMMMMMMM4 is not prime! And indeed no matter how many more M's you might like to add you will never ever get a prime number.
[/size][/QUOTE]

And just for fun I make a definite statement, that googolplexplexplexplexplexplexplexplexplexplexplex is also not prime - no matter how many plex's you may add... :lol:

[QUOTE=Andi47;105302]And just for fun I make a definite statement, that googolplexplexplexplexplexplexplexplexplexplexplex is also not prime - no matter how many plex's you may add... :lol:[/QUOTE]

Yes, and all its factors are a googolplexplexplexplexplexplexplexplexplexplexplex twos and a googolplexplexplexplexplexplexplexplexplexplexplex fives.


[QUOTE=retina;105300]Okay, I know, you probably meant a number with a prime exponent, right?

I'll go back to my corner now. Thanks for reading.[/QUOTE]

Yes, that is correct. Although that is a good one. I hadn't thought of that. However, here is another one for you:

Is INFINITY prime or not prime? After all, if you divide it by any number other than one, you still get infinity. But, if you divide it by itself, you get an indeterminate form...

[QUOTE=StarQwest;105328]Is INFINITY prime or not prime? After all, if you divide it by any number other than one, you still get infinity. But, if you divide it by itself, you get an indeterminate form...[/QUOTE]

Hmmmm... A prime is a positive [b]integer[/b] p with p > 1 and p is only divisible by one and itself.

Is infinity an integer?
Infinity is not a real number, so it is not an integer (the set of integers is a subset of real numbers), and so it is not prime.

[QUOTE=Andi47;105331]Hmmmm... A prime is a positive [b]integer[/b] p with p > 1 and p is only divisible by one and itself.

Is infinity an integer?
Infinity is not a real number, so it is not an integer (the set of integers is a subset of real numbers), and so it is not prime.[/QUOTE]

Correct!!! Although I was actually joking, that is a pretty good proof.:tu:

Infinity would be the ultimate composite number if it were an integer.

[QUOTE=cheesehead;105334]Infinity would be the ultimate composite number if it were an integer.[/QUOTE]

:wink:

M332,192,831 update
 

Unfortunately due to the slowdown on P-1 factoring, stage 1 is only 30% complete. It will take until the end of September to finish Stage 1, and stage 2 will not be performed because Prime95 set B1=B2. Therefore, if no factor is found, I will finally be able to begin the LL test. This test will credit Team StarQwest with 900 CPU years, but it will be a few years before it completes. Anyone is welcome to join (you don't have to test 100 million digit numbers although you could if you wanted to). I am looking for anyone interested in trial factoring and LL testing or double checking "smaller" ten million digit numbers.

M332,192,831 Update
 

P-1 factoring is complete! No factor was found, so I began the LL test. I am currently at iteration 7500. It takes about 0.950 seconds per iteration, so I should complete about 90,000 per day. Check out [url]www.StarQwest.org[/url], as I have updated it with the new information.

Hmmm according to my calculations it will take almost EXACTLY 10 years at .950 per iteration

Let's all come back here again on 26-Sep-2017 and check out the result.

@StarQwest, such incredible patience, :respect:

We could make a nice poll, guessing the date when it finishes.
I will take a first shot:

21st april 2012

:cat: