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-   -   fond of a factor? Urn yourself to become remains (https://www.mersenneforum.org/showthread.php?t=13977)

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=blahpy;344780]M196876699 has a factor: 69856498528291506881

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

90°[B]C[/B]?! 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°[B]F[/B] is quite reasonable.

But if it happens to be 90°[B]K[/B]...can I borrow your cooling specs? :smile:

Uncwilly 2013-07-27 09:32

[QUOTE=NBtarheel_33;347499]But if it happens to be 90°[B]K[/B]...can I borrow your cooling specs? :smile:[/QUOTE]There are no "°" K. :razz:

YuL 2013-07-27 11:31

P-1 found a factor in stage #1, B1=595000.
[URL="http://www.mersenne.ca/exponent.php?exponentdetails=66367757"]M66367757[/URL] has a factor: 200900021324011554246993658164583
k=3[SUP]2[/SUP] × 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.
[URL="http://www.mersenne.ca/exponent.php?exponentdetails=65007143"]M65007143[/URL] has a factor: 6398579774824413017672953873
k=2[SUP]3[/SUP] × 3[SUP]5[/SUP] × 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=NBtarheel_33;347499]90°[B]C[/B]?! 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°[B]F[/B] is quite reasonable.

But if it happens to be 90°[B]K[/B]...can I borrow your cooling specs? :smile:[/QUOTE]

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 #[COLOR="Green"][B]1[/B][/COLOR]
M63,697,411 has a factor: 1298457663977336673423680303
90.069 bits, [FONT="Georgia"][B][I]k[/I][/B][/FONT]=19[SUP]2[/SUP] × 29 × 37 × 761 × 94219 × 366983

90 bits in stage 1 :shock:

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=Uncwilly;347810]M63,697,411 has a factor: 1298457663977336673423680303
90.069 bits, [FONT="Georgia"][B][I]k[/I][/B][/FONT]=19[SUP]2[/SUP] × 29 × 37 × 761 × 94219 × [COLOR="red"]366983[/COLOR][/QUOTE]
[QUOTE=BudgieJane;347839]look at Uncwilly's M63697411 above. How can we .....such that 1298457663977336673423680303 is a factor and
k = 19^2 × 29 × 37 × 761 × 94219 × [COLOR="Red"]63697411[/COLOR]?[/QUOTE]

:confus:


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