fond of a factor? Urn yourself to become remains - Page 69

flashjh · 2013-07-24, 02:42

I pulled M207481 and it wasn't in there yet. By the time I pasted the info and hit submit it said 'not needed'. You beat me to it. Thanks for loading them into the DB.

NBtarheel_33 · 2013-07-27, 07:45

Quote:

Originally Posted by blahpy

M196876699 has a factor: 69856498528291506881

Might stick to TF instead of LL for now, CPU got over 90 degrees the other day testing M58378657

90°C?! Sounds like a good blowout with compressed air, and perhaps a re-application of thermal paste to your CPU is in order!

On the other hand, 90°F is quite reasonable.

But if it happens to be 90°K...can I borrow your cooling specs?

Uncwilly · 2013-07-27, 09:32

Quote:

Originally Posted by NBtarheel_33

But if it happens to be 90°K...can I borrow your cooling specs?

There are no "°" K.

YuL · 2013-07-27, 11:31

P-1 found a factor in stage #1, B1=595000.
M66367757 has a factor: 200900021324011554246993658164583
k=3² × 101 × 953 × 4253 × 5279 × 220469 × 352973

107.308 bits

YuL · 2013-07-27, 12:58

Found less than two hours after the previous one:
P-1 found a factor in stage #2, B1=580000, B2=11310000, E=6.
M65007143 has a factor: 6398579774824413017672953873
k=2³ × 3⁵ × 431 × 2297 × 2693 × 9495583

92.37 bits

c10ck3r · 2013-07-27, 20:51

P-1 found a factor in stage #2, B1=1000000, B2=25000000, E=12.
M2,500,769 has a factor: 460792857445074835140419447
88.574 bits, k=1607 × 48527 × 272761 × 4331323
Previously TF'd to 62 bits, would take 18.66M GHz-Days to find via TF. Don't know why, but this makes me happy...

firejuggler · 2013-07-27, 20:54

I can guess why: fairly low expo with no know factor. Even if it was know for a while that it was cccomposite, this definitly prove it.

blahpy · 2013-07-27, 21:15

Quote:

Originally Posted by NBtarheel_33

90°C?! Sounds like a good blowout with compressed air, and perhaps a re-application of thermal paste to your CPU is in order!

On the other hand, 90°F is quite reasonable.

But if it happens to be 90°K...can I borrow your cooling specs?

90°C for sure. I do it all on a laptop with quad core i7, and I left it on my bed whlie I was out all day (which I now know is a bad idea because it heats up a lot with the air holes covered). Thankfully my model can operate up to 105°C.

However for TF I'm using the GPU now. Currently 52% of the way through 94.3M to 94.4M from 2^65 to 2^66.

Uncwilly · 2013-07-30, 23:13

P-1 found a factor in stage #1
M63,697,411 has a factor: 1298457663977336673423680303
90.069 bits, k=19² × 29 × 37 × 761 × 94219 × 366983

90 bits in stage 1

BudgieJane · 2013-07-31, 09:55

Reading through this thread, and doing too much thinking for my own good, I've come up with a question.

Referring to Legendre's theorem for the factors of N=a^n ± b^n (Riesel, Prime numbers and computer methods for factorization, 2nd ed. p.165), given that primitive prime factors of these numbers are of the form p = 2kn + 1 and we know k and n, how easily can we obtain a and b?

As an example of what I'm asking, look at Uncwilly's M63697411 above. How can we find a and b in a^366983 ± b^366983 such that 1298457663977336673423680303 is a factor and k = 19^2 × 29 × 37 × 761 × 94219 × 63697411?

Uncwilly · 2013-07-31, 12:38

Quote:

Originally Posted by Uncwilly

M63,697,411 has a factor: 1298457663977336673423680303
90.069 bits, k=19² × 29 × 37 × 761 × 94219 × 366983

Quote:

Originally Posted by BudgieJane

look at Uncwilly's M63697411 above. How can we .....such that 1298457663977336673423680303 is a factor and
k = 19^2 × 29 × 37 × 761 × 94219 × 63697411?

2013-07-30, 23:13	#757
Uncwilly 6809 > 6502 """"""""""""""""""" Aug 2003 101×103 Posts 2·7·19·37 Posts	P-1 found a factor in stage #1 M63,697,411 has a factor: 1298457663977336673423680303 90.069 bits, k=19² × 29 × 37 × 761 × 94219 × 366983 90 bits in stage 1 Last fiddled with by Uncwilly on 2013-07-30 at 23:13

2013-07-31, 09:55	#758
BudgieJane "Jane Sullivan" Jan 2011 Beckenham, UK 2²·5·13 Posts	Reading through this thread, and doing too much thinking for my own good, I've come up with a question. Referring to Legendre's theorem for the factors of N=a^n ± b^n (Riesel, Prime numbers and computer methods for factorization, 2nd ed. p.165), given that primitive prime factors of these numbers are of the form p = 2kn + 1 and we know k and n, how easily can we obtain a and b? As an example of what I'm asking, look at Uncwilly's M63697411 above. How can we find a and b in a^366983 ± b^366983 such that 1298457663977336673423680303 is a factor and k = 19^2 × 29 × 37 × 761 × 94219 × 63697411? Last fiddled with by BudgieJane on 2013-07-31 at 09:57

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2013-07-24, 02:42	#749
flashjh "Jerry" Nov 2011 Vancouver, WA 1,123 Posts	I pulled M207481 and it wasn't in there yet. By the time I pasted the info and hit submit it said 'not needed'. You beat me to it. Thanks for loading them into the DB.

2013-07-27, 11:31	#752
YuL Feb 2012 Paris, France 7×23 Posts	P-1 found a factor in stage #1, B1=595000. M66367757 has a factor: 200900021324011554246993658164583 k=3² × 101 × 953 × 4253 × 5279 × 220469 × 352973 107.308 bits

2013-07-27, 12:58	#753
YuL Feb 2012 Paris, France 7·23 Posts	Found less than two hours after the previous one: P-1 found a factor in stage #2, B1=580000, B2=11310000, E=6. M65007143 has a factor: 6398579774824413017672953873 k=2³ × 3⁵ × 431 × 2297 × 2693 × 9495583 92.37 bits

2013-07-27, 20:51	#754
c10ck3r Aug 2010 Kansas 547 Posts	P-1 found a factor in stage #2, B1=1000000, B2=25000000, E=12. M2,500,769 has a factor: 460792857445074835140419447 88.574 bits, k=1607 × 48527 × 272761 × 4331323 Previously TF'd to 62 bits, would take 18.66M GHz-Days to find via TF. Don't know why, but this makes me happy...

2013-07-27, 20:54	#755
firejuggler Apr 2010 Over the rainbow A2E₁₆ Posts	I can guess why: fairly low expo with no know factor. Even if it was know for a while that it was cccomposite, this definitly prove it.