[QUOTE=markr;282116]On mersenne.org, is there a simple way to tell which mersenne numbers are completely factored?[/QUOTE]

The two places I would check for completed factorizations are [URL="http://www.garlic.com/~wedgingt/mersenne.html"]Will Edginton's Mersenne Page[/URL] and [URL="http://www.factordb.com/"]factordb[/URL]. If you find a number fully factored in only one of these, I recommend informing the other (email to Will or add the factor to factordb).

[QUOTE=markr;282156]?? I thought an exponent was removed from the factoring limits report when even one factor was found.[/QUOTE][U][b]You're absolutely right !![/U][/b]

I was mixing up ... oh, never mind ...

There is no method within GIMPS.

Here's our first contestant for the Biggest Factor Of 2012 contest: :judge:

M7113559 has a factor: 209608785077907609615323945622290057 [118 bits]

k = 2^2 * 7^2 * 13^2 * 1753 * 26017 * 42899 * 152083 * 1494799

P-1, B1=450000, B2=13837500

all time (prime) high
 

Is this still our all time (prime) high? (only in this thread) Found in 2011...

[QUOTE=ckdo;254250]M13828261 has a factor: 1979553586274192263311048622055057969

121 bits [I]and [/I]prime. :groupwave:

k = 2^3*13*71*397*160751*262651*556559*1039067[/QUOTE]

Beat this...

[QUOTE=Brain;284635]Is this still our all time (prime) high? (only in this thread) Found in 2011...



Beat this...[/QUOTE]


I believe my find in post #196 is a little larger.

Doug

[QUOTE=drh;269697]... and appears to be the largest in this thread-

M56226553 has a factor: 134624114590567994209661373751147664039

It is prime, and k = 1197157814303217149108014622123
= 7 × 5717 × 26371 × 29101 × 70051 × 104677 × 5316001

126.662 bits[/QUOTE]

How could I miss that... Sorry. Beat this!

[SIZE=2]M29044087 heas a factor : [/SIZE][SIZE=2]377831049605863523519

[/SIZE]k=47*191*724567241
(68.356 bit)
thanks gpu to 72!
I saved you about 28Ghz/day of work
also, my first factor of 2012.

M7175153 has a factor: 7445119556513212989927121 [83 bits]

k = 2^3 * 3^5 * 5 * 7 * 113 * 569 * 118,592,029

P-1, stage 2, B1=455000, B2=13991250, E=12

M2349679 has a factor: 560951511036414812113
Found by P1 Stage 2, B1=155000, B2=3565000

k = 2^3 × 3 × 347^2 × 6427^2

or

k = 2^3 x 3 x 120,409 x 41,306,329

[QUOTE=harlee;285834]M2349679 has a factor: 560951511036414812113
Found by P1 Stage 2, B1=155000, B2=3565000
k = 2^3 × 3 × 347^2 × 6427^2
[/QUOTE]
Very nice finding, with all those squares! Handsome!

I am running P-1 using B1 = 10M and B2 = 200M on the 3xxxxx range. I found some factors, but this is interesting:

M325517 has a factor: 20823082720665516480026432503
k = 3 ^ 3 x 107 x 223 x 9805721 x 5063017369

The second greatest prime factor is just below B1 and the greatest prime factor is more than 25 times B2.