M107207129 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷⁶	142.7516	64.4737%	757000	757000	4.5019	1.5412%	147.2535	65.0212%	0.5475%
PrimeNet	2⁷²	8.9204	62.5000%	450000	22000000	9.6586	5.4093%	18.5790	64.5285%	2.0285%
GPU72	2⁷⁶	142.7516	64.4737%	700000	24000000	11.7123	3.9757%	154.4640	65.8861%	1.4124%
Difference	-	-	-	+57000	-23243000	-7.2104	-2.4344%	-7.2104	-0.8649%	-0.8649%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁶

142.7516

64.4737%

757000

4.5019

1.5412%

147.2535

65.0212%

0.5475%

PrimeNet

2⁷²

8.9204

62.5000%

450000

22000000

9.6586

5.4093%

18.5790

64.5285%

2.0285%

GPU72

2⁷⁶

142.7516

64.4737%

700000

24000000

11.7123

3.9757%

154.4640

65.8861%

1.4124%

Difference

+57000

-23243000

-7.2104

-2.4344%

-7.2104

-0.8649%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
107207129	98058773655358447592735572577	29	96.308	457333269578361937072 2⁴ × 13 × 17 × 83 × 241 × 947 × 33013 × 206819	2021-11-05	33013	206819	209,692,353	0.2526	0.3996

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

107207129

98058773655358447592735572577

96.308

457333269578361937072
2⁴ × 13 × 17 × 83 × 241 × 947 × 33013 × 206819

2021-11-05

33013

206819

209,692,353

0.2526

0.3996

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-11-05T17:06:04	Jwb52z	Clay	757000	757000			98058773655358447592735572577	29	96.308	4.502	879.4	9.004	1.541%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2021-11-05T17:06:04

Jwb52z

Clay

757000

98058773655358447592735572577

96.308

4.502

879.4

9.004

1.541%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-12-30T00:00:00	ANONYMOUS	v4_computers	2⁵⁷	2⁶⁰		-	-	0.001	-	-
2010-04-24T12:50:00	sasaki3	mate_ma2	2⁶³	2⁶⁴		-	-	0.018	-	-
2010-09-07T08:39:00	Charles A. Morris	pulsar_2	2⁶⁴	2⁶⁵		-	-	0.035	-	-
2012-05-19T04:15:00	omiXorp	LLB03-z800-16	2⁶⁵	2⁶⁶		-	-	0.070	-	-
2013-09-21T22:13:00	Milldang	optiplexGx270	2⁶⁶	2⁶⁷		-	-	0.139	-	-
2022-03-31T15:58:53	LordJulius	Manual testing	2¹	2⁶⁷		-	-	0.277	-	-
2015-01-22T19:50:00	el grocco	Manual testing	2⁶⁷	2⁶⁸		-	-	0.279	-	-
2015-01-23T21:54:00	planetclown	Manual testing	2⁶⁸	2⁶⁹		-	-	0.558	-	-
2015-01-23T21:54:00	planetclown	Manual testing	2⁶⁹	2⁷⁰		-	-	1.115	-	-
2015-01-23T21:54:00	planetclown	Manual testing	2⁷⁰	2⁷¹		-	-	2.231	-	-
2015-01-23T21:54:00	planetclown	Manual testing	2⁷¹	2⁷²		-	-	4.461	-	-
2020-03-06T07:14:52	el grocco	Manual testing	2⁷²	2⁷³		-	-	8.922	-	-
2020-04-15T05:20:02	bayanne	GPU72_TF	2⁷³	2⁷⁴		-	-	17.84	-	-
2021-04-10T18:02:52	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	35.69	-	-
2021-04-10T18:02:52	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	71.38	-	-

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 757000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront