fond of a factor? Urn yourself to become remains - Page 23

wblipp · 2011-12-15, 16:09

Quote:

Originally Posted by markr

On mersenne.org, is there a simple way to tell which mersenne numbers are completely factored?

The two places I would check for completed factorizations are Will Edginton's Mersenne Page and factordb. 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).

cheesehead · 2011-12-15, 18:35

Quote:

Originally Posted by markr

?? I thought an exponent was removed from the factoring limits report when even one factor was found.

You're absolutely right !!

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

There is no method within GIMPS.

ckdo · 2012-01-03, 07:28

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

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

Brain · 2012-01-03, 19:57

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

Quote:

Originally Posted by ckdo

M13828261 has a factor: 1979553586274192263311048622055057969

121 bits and prime.

k = 2^3*13*71*397*160751*262651*556559*1039067

Beat this...

drh · 2012-01-03, 22:07

Quote:

Originally Posted by Brain

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

Beat this...

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

Doug

Brain · 2012-01-04, 06:40

Quote:

Originally Posted by drh

... 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

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

firejuggler · 2012-01-04, 08:18

M29044087 heas a factor : 377831049605863523519

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.

ckdo · 2012-01-10, 22:26

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

harlee · 2012-01-11, 01:35

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

LaurV · 2012-01-11, 02:20

Quote:

Originally Posted by harlee

M2349679 has a factor: 560951511036414812113
Found by P1 Stage 2, B1=155000, B2=3565000
k = 2^3 × 3 × 347^2 × 6427^2

Very nice finding, with all those squares! Handsome!

alpertron · 2012-01-15, 15:31

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.

2012-01-04, 08:18	#249
firejuggler Apr 2010 Over the rainbow 101000101110₂ Posts	M29044087 heas a factor : 377831049605863523519 k=47191724567241 (68.356 bit) thanks gpu to 72! I saved you about 28Ghz/day of work also, my first factor of 2012. Last fiddled with by firejuggler on 2012-01-04 at 08:34

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
A new factor of F11?!	siegert81	FermatSearch	2	2018-01-24 04:35
A fond farewell	rogue	Lounge	10	2008-11-21 05:25
who can factor 10^100+27?	aaa120	Factoring	17	2008-11-13 19:23
New factor	fivemack	ElevenSmooth	4	2008-05-07 19:28
Shortest time to complete a 2^67 trial factor (no factor)	dsouza123	Software	12	2003-08-21 18:38

2012-01-03, 07:28	#245
ckdo Dec 2007 Cleves, Germany 2·5·53 Posts	Here's our first contestant for the Biggest Factor Of 2012 contest: 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

2012-01-10, 22:26	#250
ckdo Dec 2007 Cleves, Germany 2·5·53 Posts	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

2012-01-11, 01:35	#251
harlee Sep 2006 Odenton, MD, USA 164₁₀ Posts	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

2012-01-15, 15:31	#253
alpertron Aug 2002 Buenos Aires, Argentina 2×683 Posts	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.