P-1 limits for Fermat numbers

Syd · 2011-05-23, 09:17

Does anyone know how far the fermat numbers, say F12 to F30, have been tested using P-1-method?
I could only find some really old bounds.

lorgix · 2011-05-23, 10:05

http://www.prothsearch.net/fermat.html gives some info. You want the bottom of the page.

Syd · 2011-05-23, 10:59

Quote:

Originally Posted by lorgix

http://www.prothsearch.net/fermat.html gives some info. You want the bottom of the page.

I think these are only the k tested, not the P-1 bounds. Or am I missing something there?

lorgix · 2011-05-23, 11:13

If I understand this correctly, k must be the largest factor of p-1 if p divides F. Since any factor of F is of the form k*2^n+1.

2011-05-23, 09:17	#1
Syd Sep 2008 Krefeld, Germany 2·5·23 Posts	P-1 limits for Fermat numbers Does anyone know how far the fermat numbers, say F12 to F30, have been tested using P-1-method? I could only find some really old bounds.

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2011-05-23, 10:05	#2
lorgix Sep 2010 Scandinavia 1001100111₂ Posts	http://www.prothsearch.net/fermat.html gives some info. You want the bottom of the page.

2011-05-23, 11:13	#4
lorgix Sep 2010 Scandinavia 3×5×41 Posts	If I understand this correctly, k must be the largest factor of p-1 if p divides F. Since any factor of F is of the form k*2^n+1.