# Math Help - Find prime divisor

1. ## Find prime divisor

Hey there, is anyone here with some good computer skills and a good computer that can find a prime divisor of

$2^{2^{19}-1}-1= 2^{524287} -1$ ?

You would help me alot .

2. Originally Posted by EinStone
Hey there, is anyone here with some good computer skills and a good computer that can find a prime divisor of

$2^{2^{19}-1}-1= 2^{524287} -1$ ?

You would help me alot .

...good one. This is a rather tough problem and there're supercomputers working at it: read 2.6. in Distributed computing on the Internet

Tonio

3. Originally Posted by EinStone
Hey there, is anyone here with some good computer skills and a good computer that can find a prime divisor of

$2^{2^{19}-1}-1= 2^{524287} -1$ ?

You would help me alot .
I hope "computer skills" includes internet searching skills

Check out this article (you will need JSTOR access).

4. This is a factor of $2^{2^{19}} + 1$ I am looking for one of $2^{2^{19}-1} - 1$.

5. Originally Posted by EinStone
This is a factor of $2^{2^{19}} + 1$ I am looking for one of $2^{2^{19}-1} - 1$.
Oh, it's a double Mersenne number, not a Fermat number. Sorry for my inability to read.

The factor 62914441 is listed in this MathWorld article.

6. Nice!