alright Fermat divisors, ya can run....
 

...but ya can't hide.

Seriously, though... Anyone notice the huge gap between the discovery of Fermat divisors? I mean, it's been almost 7 months since the last Fermat divisor was discovered. Is the project even running?

Well, on the bright side, a longer gap can sometimes mean a bigger surprise! :)

---
*makes funny face at next poster* :razz:

[QUOTE=ixfd64]...but ya can't hide.

Seriously, though... Anyone notice the huge gap between the discovery of Fermat divisors? I mean, it's been almost 7 months since the last Fermat divisor was discovered. Is the project even running?[/QUOTE]

The Project is up and running.

I received many updates from Fermat's factors searchers :-)

Luigi

Quite a few large Proth primes have been discovered in the past six months, but as luck would have it, none of them proved to be a Fermat number divisor. But sooner or later...

What is the smallest Fermat number whose primality status is unknown?

I believe it's F33.

It is, according to [URL=http://www.prothsearch.net/fermat.html#Summary]Wilfrid Keller's status page[/URL].

[QUOTE=akruppa]It is, according to [URL=http://www.prothsearch.net/fermat.html#Summary]Wilfrid Keller's status page[/URL].[/QUOTE]

And if anyone would know, it would be Alex. ;)

"Composite but no factor known m = 14, 20, 22, 24"

So there is a primality test for Fermat numbers that doesn't require finding a factor?

Well, there's Pepin's test, but the numbers quickly grow too large for it.

Hmm. F25 already has over 10.1M digits.

No wonder... Mersenne Numbers grow exponentially while Fermat Numbers grow "double exponentially".