fond of a factor? Urn yourself to become remains - Page 108

Miszka · 2016-10-08, 12:37

Quote:

Originally Posted by GP2

Hah, I can top that:

M5501, factor 124424631532117825221239927348589023

k = 11309273907663863408583887234011 (a 32-digit prime)

The result is wonderful. A little bit of its value decreases, that this is't ... the first factor

James Heinrich · 2016-10-08, 14:17

Quote:

Originally Posted by GP2

Hah, I can top that

By peeking in the database I can top that too

Actually the way the factored k values are stores are not easily searchable to find the largest component, but by looking at exponents with k longer than 100 digits I believe the two winners are:

132-digit: M1129 = 5 * 349 * 680893544214512409631723241923984408474147200813444413919110673154410812361054312317836168473471660651160327499621967599043897690871

128-digit: M1109 = 377609968577357 * 29390896242584729489297434180738860022421056237104270110730836700511316902860789212658605173244533094779061821974098972841052043

Miszka · 2016-12-03, 01:24

P-1 found a factor in stage #1, B1=2700000.
UID: mikr/MSI, M2748857 has a factor: 2283574827904867564040066470770610598552767 (P-1, B1=2700000)
43 digits 140.712 bits
This is my new high score record found by P-1

GP2 · 2016-12-03, 05:56

Quote:

Originally Posted by Miszka

43 digits 140.712 bits
This is my new high score record found by P-1

One-upmanship:

M2797:
99966410000212091183671262757251795787241105921
47 digits 156.130 bits
Was found with P−1 stage 1, B1=100,000,000,000

( k = 2⁸ × 3³ × 5 × 13 × 89 × 12503047 × 306137893 × 1814314547 × 64354512667 )

Jwb52z · 2016-12-04, 06:05

P-1 found a factor in stage #2, B1=670000, B2=12730000.
UID: Jwb52z/Clay, M80126297 has a factor: 11647669222017335700785687 (P-1, B1=670000, B2=12730000),

83.268 bits.

Jwb52z · 2016-12-18, 05:08

P-1 found a factor in stage #2, B1=670000, B2=12730000.
UID: Jwb52z/Clay, M80254519 has a factor: 2066533873402962369354743 (P-1, B1=670000, B2=12730000).

80.773 bits.

Jwb52z · 2017-02-03, 05:22

P-1 found a factor in stage #1, B1=675000.
UID: Jwb52z/Clay, M80582011 has a factor: 6767080053629333125464247 (P-1, B1=675000)

82.485 bits.

Jwb52z · 2017-02-10, 22:03

P-1 found a factor in stage #1, B1=675000.
UID: Jwb52z/Clay, M80672513 has a factor: 7720342787621215578700001 (P-1, B1=675000)

82.675 bits.

James Heinrich · 2017-02-18, 22:59

M78044321 has a factor: 136965029078438306789901990063200306098597292653297 (P-1, B1=655000, B2=13100000, E=12)

Composite (77+90 bits) of course, but this is a P-1 re-run (previously ran with stage1 only that missed both factors).

ckdo · 2017-02-23, 06:55

Congrats, James.

On this side of the pond, I have no specific factor to report, but I just reported in a streak of 11 successes in 159 TF-73 attempts on consecutive candidates from 90505267 to 90512179.

That's a 1 in 14.45 success ratio, or roughly five times as high as you'd expect, on average.

I'd call that noteworthy. Nontheless, I'll spare you the smallish factors.

ATH · 2017-03-19, 22:49

M80910023 has a factor: 8761542675966749331731213096500505849 (P-1, B1=680000, B2=13600000, E=6)
122.72 bits

2017-02-10, 22:03	#1185
Jwb52z Sep 2002 31F₁₆ Posts	P-1 found a factor in stage #1, B1=675000. UID: Jwb52z/Clay, M80672513 has a factor: 7720342787621215578700001 (P-1, B1=675000) 82.675 bits. Last fiddled with by Jwb52z on 2017-02-10 at 22:04

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2016-12-03, 01:24	#1180
Miszka May 2013 Poland 3⁴ Posts	P-1 found a factor in stage #1, B1=2700000. UID: mikr/MSI, M2748857 has a factor: 2283574827904867564040066470770610598552767 (P-1, B1=2700000) 43 digits 140.712 bits This is my new high score record found by P-1

2016-12-04, 06:05	#1182
Jwb52z Sep 2002 1100011111₂ Posts	P-1 found a factor in stage #2, B1=670000, B2=12730000. UID: Jwb52z/Clay, M80126297 has a factor: 11647669222017335700785687 (P-1, B1=670000, B2=12730000), 83.268 bits.

2016-12-18, 05:08	#1183
Jwb52z Sep 2002 17·47 Posts	P-1 found a factor in stage #2, B1=670000, B2=12730000. UID: Jwb52z/Clay, M80254519 has a factor: 2066533873402962369354743 (P-1, B1=670000, B2=12730000). 80.773 bits.

2017-02-03, 05:22	#1184
Jwb52z Sep 2002 17·47 Posts	P-1 found a factor in stage #1, B1=675000. UID: Jwb52z/Clay, M80582011 has a factor: 6767080053629333125464247 (P-1, B1=675000) 82.485 bits.

2017-02-18, 22:59	#1186
James Heinrich "James Heinrich" May 2004 ex-Northern Ontario 6535₈ Posts	M78044321 has a factor: 136965029078438306789901990063200306098597292653297 (P-1, B1=655000, B2=13100000, E=12) Composite (77+90 bits) of course, but this is a P-1 re-run (previously ran with stage1 only that missed both factors).

2017-02-23, 06:55	#1187
ckdo Dec 2007 Cleves, Germany 2·5·53 Posts	Congrats, James. On this side of the pond, I have no specific factor to report, but I just reported in a streak of 11 successes in 159 TF-73 attempts on consecutive candidates from 90505267 to 90512179. That's a 1 in 14.45 success ratio, or roughly five times as high as you'd expect, on average. I'd call that noteworthy. Nontheless, I'll spare you the smallish factors.

2017-03-19, 22:49	#1188
ATH Einyen Dec 2003 Denmark 3158₁₀ Posts	M80910023 has a factor: 8761542675966749331731213096500505849 (P-1, B1=680000, B2=13600000, E=6) 122.72 bits