Factoring for a publication - Page 41

Max0526 · 2021-08-17, 04:10

https://link.springer.com/epdf/10.10...0gTv1XjlGaM%3D

Mersenne Forum is mentioned twice, on p. 20 and 23.

Figure 3 plot is here: https://link.springer.com/epdf/10.10...0gTv1XjlGaM%3D

Thank you all for factoring with us!

bur · 2021-08-17, 11:22

That's really nice to see. I don't understand the paper, but it seems the factorizations did some good... ;)

EdH · 2021-08-17, 13:07

Thanks for the publication link, Max!

Some more ECM work:

Line 124 (9, -8):

Code:

c192 survived t50
 
c222 = p45 * c178 (still only t45, but I will finish t50 on the c178)

I also ran line 193 (11, 7) with some success:

Code:

c196 = p45 * c152 (t50 completed)

EdH · 2021-08-17, 17:00

Quote:

Originally Posted by EdH

. . .
Line 124 (9, -8):

Code:

c192 survived t50
  
c222 = p45 * c178 (still only t45, but I will finish t50 on the c178)

Code:

c178 = p51 * c127

thyrex · 2021-08-18, 05:51

Perfectly, EdH

EdH · 2021-08-18, 12:56

Line 204 (11, -4):

Code:

c209 = p47 * c163

Line 204 (11, -4) Both c163 and c227 have survived t50

Line 205 (11, -5) c252 has survived t50

EdH · 2021-08-18, 19:34

Quote:

Originally Posted by Max0526

. . .
Thank you all for factoring with us!

Are we still factoring, or are we wrapping it up due to publication?

Stargate38 · 2021-08-18, 21:15

Quote:

Originally Posted by Max0526

https://link.springer.com/epdf/10.10...0gTv1XjlGaM%3D

Any chance you could send me a PDF of that? I tried the "Download PDF" button, but it said it wasn't downloadable. I want a local copy in case the uploaded copy goes down.

EdH · 2021-08-19, 14:14

Line 181 (3, 11) via ECM:

Code:

c192 = p48 * p145
c209 = p52 * c157

charybdis · 2021-08-19, 18:31

Quote:

Originally Posted by charybdis

Taking (7,-8) c182 for GNFS.

Done.

Code:

p78 factor: 127700338844735086994566331859709759343733694585125279401841760899770097052537
p105 factor: 317936878254924157876010557561954703023732837934009246398608308900957656166697543563907177694867463790649

thyrex · 2021-08-20, 18:06

Quote:

Originally Posted by EdH

Code:

c178 = p51 * c127

c127 = p58*p70

2021-08-17, 04:10	#441
Max0526 "Max" Jun 2016 Toronto 3A0₁₆ Posts	Published! https://link.springer.com/epdf/10.10...0gTv1XjlGaM%3D Mersenne Forum is mentioned twice, on p. 20 and 23. Figure 3 plot is here: https://link.springer.com/epdf/10.10...0gTv1XjlGaM%3D Thank you all for factoring with us!

2021-08-17, 13:07	#443
EdH "Ed Hall" Dec 2009 Adirondack Mtns 3³·167 Posts	Thanks for the publication link, Max! Some more ECM work: Line 124 (9, -8): Code: c192 survived t50 c222 = p45 * c178 (still only t45, but I will finish t50 on the c178) I also ran line 193 (11, 7) with some success: Code: c196 = p45 * c152 (t50 completed)

2021-08-18, 12:56	#446
EdH "Ed Hall" Dec 2009 Adirondack Mtns 3³×167 Posts	Line 204 (11, -4): Code: c209 = p47 * c163 Line 204 (11, -4) Both c163 and c227 have survived t50 Line 205 (11, -5) c252 has survived t50

2021-08-19, 14:14	#449
EdH "Ed Hall" Dec 2009 Adirondack Mtns 3³×167 Posts	Line 181 (3, 11) via ECM: Code: c192 = p48 * p145 c209 = p52 * c157

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2021-08-17, 11:22	#442
bur Aug 2020 796581e-4;32539e-3 503 Posts	That's really nice to see. I don't understand the paper, but it seems the factorizations did some good... ;)

2021-08-18, 05:51	#445
thyrex Jun 2021 2⁴ Posts	Perfectly, EdH