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

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

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

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

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

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

You would help me alot .
I hope "computer skills" includes internet searching skills 4. This is a factor of $\displaystyle 2^{2^{19}} + 1$ I am looking for one of $\displaystyle 2^{2^{19}-1} - 1$.

5. Originally Posted by EinStone This is a factor of $\displaystyle 2^{2^{19}} + 1$ I am looking for one of $\displaystyle 2^{2^{19}-1} - 1$.
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!

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