Predict "M51" (discussion)

[Uncwilly]

Originally Posted by gophne

Sagemath returns "123456791" as being a prime, and Prime95 is currently running on my machine with this number.

Originally Posted by George M

Ooohhhhhh...... you mean 2^1233333331 - 1 is composite..... ahhh k

Originally Posted by gophne

Running SAGEMATH code;

%time factor(1233333331)

returns that input as "prime"

Both 2^123456791-1 and 2^1233333331-1 have known factors. Thus, by rule 4, are not suitable guesses. For further inquires about the how, where, when, and why of this, please use a different thread. Also, why Prime95 is running on an exponent with a known factor, inquire in a different thread.

Both of your blind ignorance and insistence on being right is starting to feel like spam.

[George M]

982451707

If anyone is struggling to come up with a prime (for any reason) then you can head below:

http://www.primos.mat.br/2T_en.html

:)

[GP2]

Originally Posted by gophne

Sagemath returns "123456791" as being a prime, and Prime95 is currently running on my machine with this number.

Click here: 123456791, and then stop your machine.

Originally Posted by ET_

The Mersenne you should test is 2^1233333331 - 1

The number 1,233,333,331 is indeed a prime number but 2^{1,233,333,331}−1 has a known factor, although you have to go to Mersenne.ca to see that, because such large numbers beyond 1 billion are beyond present capability for LL testing, and are not recorded by Primenet.

[George M]

Originally Posted by GP2

Click here: 123456791, and then stop your machine.




The number 1,233,333,331 is indeed a prime number but 2^{1,233,333,331}−1 has a known factor, although you have to go to Mersenne.ca to see that, because such large numbers beyond 1 billion are beyond present capability for LL testing, and are not recorded by Primenet.

I only chose that prime number because of all the 3’s in it haha

[GP2]

Originally Posted by George M

982451707

First of all, 982,451,707 is a prime number, but 2^982,451,707−1 has a factor, click here

Secondly, take a look at this list of known Mersenne primes, and consider how improbable it is that there would be a gap with no Mersenne primes from roughly 70+ million to nearly 1 billion.

Try a little harder to make reasonable guesses.

[gophne]

Originally Posted by GP2

Click here: 123456791, and then stop your machine.




The number 1,233,333,331 is indeed a prime number but 2^{1,233,333,331}−1 has a known factor, although you have to go to Mersenne.ca to see that, because such large numbers beyond 1 billion are beyond present capability for LL testing, and are not recorded by Primenet.

Hi GP2

Thanks for the info/link.

I see what Uncwilly was saying now as well.

I will stop the current Prime95 process on my computer.

Regards

[George M]

First of all, I will try and pick a number that is greater than a billion so they are reasonable (perhaps I should put my previous guesses in the PREDICT M50 thread). I will have my final guess at the end of this post.

Now, here are prime numbers that should not be picked if

or

Also, after looking at the 46th and 47th mersenne prime and the gap between both exponents, I consider my previous guess reasonable, but it doesn’t mean anything if M_n is factored, my previous guess being equal to n.

So anyway, my final guess is.....
Hmmm....

[ET_]

Originally Posted by George M

First of all, I will try and pick a number that is greater than a billion so they are reasonable (perhaps I should put my previous guesses in the PREDICT M50 thread). I will have my final guess at the end of this post.

Now, here are prime numbers that should not be picked if

or

Also, after looking at the 46th and 47th mersenne prime and the gap between both exponents, I consider my previous guess reasonable, but it doesn’t mean anything if M_n is factored, my previous guess being equal to n.

So anyway, my final guess is.....
Hmmm....

1824261419 has a factor

[George M]

Originally Posted by ET_

1824261419 has a factor

Man this is difficult...

Oh, and by the way, perhaps we should put a constraint on our guesses, such that our guesses should be less than 2^32 = 4294967296

………

It seems like 2^2252945257 - 1 may be prime. It has a probability of 63.7945% of being prime!! We also have another mersenne number with the exact probability: 2^2685457421 - 1. Funny that.

[Batalov]

[George M]

Originally Posted by Batalov

Who ever said otherwise? XD