M64101173 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	2⁷⁴	59.6848	64.8649%	570000	10260000	3.8617	3.7342%	63.5465	66.1769%	1.3120%
PrimeNet	2⁷⁰	3.7277	62.8571%	280000	12000000	3.2307	5.2146%	6.9584	64.7940%	1.9369%
GPU72	2⁷⁴	59.6848	64.8649%	400000	14000000	4.0131	3.7917%	63.6979	66.1971%	1.3322%
Difference	-	-	-	+170000	-3740000	-0.1513	-0.0575%	-0.1513	-0.0202%	-0.0202%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

59.6848

64.8649%

570000

10260000

3.8617

3.7342%

63.5465

66.1769%

1.3120%

PrimeNet

2⁷⁰

3.7277

62.8571%

280000

12000000

3.2307

5.2146%

6.9584

64.7940%

1.9369%

GPU72

2⁷⁴

59.6848

64.8649%

400000

14000000

4.0131

3.7917%

63.6979

66.1971%

1.3322%

Difference

+170000

-3740000

-0.1513

-0.0575%

-0.1513

-0.0202%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
64101173	50021421769047734872506504961	29	95.337	390175557076371557760 2⁷ × 3 × 5 × 19 × 37 × 863 × 114613 × 2922529	2013-09-03	114613	2922529	180,445,479	0.9412	1.0460

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

64101173

50021421769047734872506504961

95.337

390175557076371557760
2⁷ × 3 × 5 × 19 × 37 × 863 × 114613 × 2922529

2013-09-03

114613

2922529

180,445,479

0.9412

1.0460

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2013-09-03T18:47:00	Jwb52z	Clay	570000	10260000			50021421769047734872506504961	29	95.337	3.862	311.0	7.723	3.734%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2013-09-03T18:47:00

Jwb52z

Clay

570000

10260000

50021421769047734872506504961

95.337

3.862

311.0

7.723

3.734%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-11-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁰		-	-	2.33990e-6	-	-
2003-08-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2004-01-18T00:00:00	AxelFox	v4_computers	2¹	2⁶⁰		-	-	0.002	-	-
2022-03-30T08:07:46	LordJulius	Manual testing	2⁶⁰	2⁶³		-	-	0.023	-	-
2009-03-06T02:01:00	Sturle Sunde	gollumilla.ifi	2⁶³	2⁶⁴		-	-	0.031	-	-
2009-03-12T10:16:00	Lt.Cmdr.Data	s3-pc1	2⁶⁴	2⁶⁵		-	-	0.058	-	-
2009-03-18T10:31:00	Lt.Cmdr.Data	s3-pc1	2⁶⁵	2⁶⁶		-	-	0.117	-	-
2009-03-24T13:49:00	Lt.Cmdr.Data	s3-pc1	2⁶⁶	2⁶⁷		-	-	0.233	-	-
2009-09-27T22:14:00	Lukin Dmitry	Dmitry	2⁶⁷	2⁶⁸		-	-	0.466	-	-
2009-10-11T21:20:00	mojojojohh	DeeDees_P5Q_DLX	2⁶⁸	2⁶⁹		-	-	0.933	-	-
2012-01-26T16:40:00	america64	Manual testing	2⁶⁹	2⁷⁰		-	-	1.865	-	-
2012-05-31T17:45:00	vats09	AX2_64	2⁷⁰	2⁷¹		-	-	3.730	-	-
2013-08-06T04:38:00	RichD0	Manual testing	2⁷¹	2⁷²		-	-	7.461	-	-
2013-08-30T01:45:00	gcardona	Manual testing	2⁷²	2⁷³		-	-	14.92	-	-
2013-08-30T01:45:00	gcardona	Manual testing	2⁷³	2⁷⁴		-	-	29.84	-	-

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 = 570000, B2 = 10260000 (P-1 stage 2)

B1 = 570000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

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