fond of a factor? Urn yourself to become remains - Page 104

bloodIce · 2016-07-24, 20:43

I thought that sub 10K are impossible to factor, but here it is:
"M3607 has a factor 162160065980366340636967897279169391509046358190713" (~167 bits). Unfortunately, the cofactor is not PRP

.

lycorn · 2016-07-24, 21:02

Great shot!

Funny enough, in the "history" section of the report, there´s no reference to the bounds used nor the number of curves run.
Did you use a B1=1.1e8?

bloodIce · 2016-07-24, 21:57

Quote:

Originally Posted by lycorn

Great shot!

Funny enough, in the "history" section of the report, there´s no reference to the bounds used nor the number of curves run.
Did you use a B1=1.1e8?

Stock bounds for sure (B1=1.1e8). I do not have access to the machine right now (to pull out the log), but it is probably couple of thousand curves.

Gordon · 2016-07-25, 00:52

Quote:

Originally Posted by bloodIce

I thought that sub 10K are impossible to factor, but here it is:
"M3607 has a factor 162160065980366340636967897279169391509046358190713" (~167 bits). Unfortunately, the cofactor is not PRP

.

Fantastic result

I'm trying my luck down in the 4k range, you never know....

lycorn · 2016-07-25, 07:32

Also digging that area, just slightly higher - 6 and 8k. Something is lurking up there...

VictordeHolland · 2016-07-25, 11:11

Nice find! You don't get those every day!

LaurV · 2016-07-25, 15:28

Whoaaa! Great one! 167 bits, hey don't come easy..

xilman · 2016-07-25, 17:19

Quote:

Originally Posted by bloodIce

I thought that sub 10K are impossible to factor, but here it is:
"M3607 has a factor 162160065980366340636967897279169391509046358190713" (~167 bits). Unfortunately, the cofactor is not PRP

.

Undoubtedly not impossible but equally undoubtedly not entirely trivial.

Nice work.

UBR47K · 2016-07-30, 06:21

Code:

UID: UBR47K/5820K-factoring, M1187803 has a factor: 180153864303424969999558424827024324050497 (P-1, B1=2500000)

Code:

k = 2^5 × 7 × 17 × 83 × 149 × 2087 × 2689 × 4999 × 36343 × 1254971 × 1258511

42 digits, 137 bits

Jwb52z · 2016-08-02, 19:55

P-1 found a factor in stage #2, B1=665000, B2=12635000.
UID: Jwb52z/Clay, M79197037 has a factor: 370961634783541317383089 (P-1, B1=665000, B2=12635000)

78.269 bits.

Jwb52z · 2016-08-09, 00:13

P-1 found a factor in stage #1, B1=665000.
UID: Jwb52z/Clay, M79051543 has a factor: 299298328540123820149321 (P-1, B1=665000)

77.986 bits

2016-07-24, 20:43	#1134
bloodIce Feb 2010 Sweden 173 Posts	3607 is down I thought that sub 10K are impossible to factor, but here it is: "M3607 has a factor 162160065980366340636967897279169391509046358190713" (~167 bits). Unfortunately, the cofactor is not PRP .

2016-07-30, 06:21	#1142
UBR47K Aug 2015 2²·17 Posts	Code: UID: UBR47K/5820K-factoring, M1187803 has a factor: 180153864303424969999558424827024324050497 (P-1, B1=2500000) Code: k = 2^5 × 7 × 17 × 83 × 149 × 2087 × 2689 × 4999 × 36343 × 1254971 × 1258511 42 digits, 137 bits

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2016-07-24, 21:02	#1135
lycorn Sep 2002 Oeiras, Portugal 2⁶·23 Posts	Great shot! Funny enough, in the "history" section of the report, there´s no reference to the bounds used nor the number of curves run. Did you use a B1=1.1e8?

2016-07-25, 07:32	#1138
lycorn Sep 2002 Oeiras, Portugal 2⁶×23 Posts	Also digging that area, just slightly higher - 6 and 8k. Something is lurking up there...

2016-07-25, 11:11	#1139
VictordeHolland "Victor de Hollander" Aug 2011 the Netherlands 2³·3·7² Posts	Nice find! You don't get those every day!

2016-07-25, 15:28	#1140
LaurV Romulan Interpreter Jun 2011 Thailand 7×1,373 Posts	Whoaaa! Great one! 167 bits, hey don't come easy..

2016-08-02, 19:55	#1143
Jwb52z Sep 2002 2×3×7×19 Posts	P-1 found a factor in stage #2, B1=665000, B2=12635000. UID: Jwb52z/Clay, M79197037 has a factor: 370961634783541317383089 (P-1, B1=665000, B2=12635000) 78.269 bits.

2016-08-09, 00:13	#1144
Jwb52z Sep 2002 2×3×7×19 Posts	P-1 found a factor in stage #1, B1=665000. UID: Jwb52z/Clay, M79051543 has a factor: 299298328540123820149321 (P-1, B1=665000) 77.986 bits