M64836413 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	59.0080	64.8649%	575000	10350000	3.8956	3.7503%	62.9036	66.1825%	1.3177%
PrimeNet	2⁷⁰	3.6854	62.8571%	280000	13000000	3.4224	5.2974%	7.1078	64.8248%	1.9676%
GPU72	2⁷⁴	59.0080	64.8649%	450000	14000000	4.1794	3.8605%	63.1873	66.2213%	1.3564%
Difference	-	-	-	+125000	-3650000	-0.2837	-0.1103%	-0.2837	-0.0387%	-0.0387%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

59.0080

64.8649%

575000

10350000

3.8956

3.7503%

62.9036

66.1825%

1.3177%

PrimeNet

2⁷⁰

3.6854

62.8571%

280000

13000000

3.4224

5.2974%

7.1078

64.8248%

1.9676%

GPU72

2⁷⁴

59.0080

64.8649%

450000

14000000

4.1794

3.8605%

63.1873

66.2213%

1.3564%

Difference

+125000

-3650000

-0.2837

-0.1103%

-0.2837

-0.0387%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
64836413	575604811032030155539945413343	30	98.861	4438900799709803159067 3² × 41 × 47 × 211 × 8513 × 38351 × 3715433	2013-06-30	38351	3715433	995,821,350	0.8395	1.3298

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

64836413

575604811032030155539945413343

98.861

4438900799709803159067
3² × 41 × 47 × 211 × 8513 × 38351 × 3715433

2013-06-30

38351

3715433

995,821,350

0.8395

1.3298

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-06-30T22:47:00	Jwb52z	Clay	575000	10350000			575604811032030155539945413343	30	98.861	3.896	314.5	7.791	3.750%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-09-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2004-02-14T00:00:00	AxelFox	v4_computers	2¹	2⁶⁰		-	-	0.002	-	-
2022-03-30T15:45:51	LordJulius	Manual testing	2⁶⁰	2⁶³		-	-	0.022	-	-
2009-03-12T21:06:00	belluzz	i7_920_6GB	2⁶³	2⁶⁴		-	-	0.030	-	-
2009-03-14T23:52:00	belluzz	i7_920_6GB	2⁶⁴	2⁶⁵		-	-	0.058	-	-
2009-03-17T06:47:00	arnaud	SRV-330	2⁶⁵	2⁶⁶		-	-	0.115	-	-
2009-03-21T15:15:00	JudgeGabranth	Midgardsormr	2⁶⁶	2⁶⁷		-	-	0.231	-	-
2009-03-22T19:47:00	Sturle Sunde	heroe.ifi	2⁶⁷	2⁶⁸		-	-	0.461	-	-
2009-09-25T11:43:00	Homaster	Homaster	2⁶⁸	2⁶⁹		-	-	0.922	-	-
2012-02-24T01:57:00	Richard	UNKNOWN	2⁶⁹	2⁷⁰		-	-	1.844	-	-
2013-05-21T18:12:00	TheJudger	Manual testing	2⁷⁰	2⁷¹		-	-	3.688	-	-
2013-05-21T18:12:00	TheJudger	Manual testing	2⁷¹	2⁷²		-	-	7.376	-	-
2013-05-21T18:12:00	TheJudger	Manual testing	2⁷²	2⁷³		-	-	14.75	-	-
2013-06-24T23:42:00	Jerry Hallett	Manual testing	2⁷³	2⁷⁴		-	-	29.51	-	-

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 = 575000, B2 = 10350000 (P-1 stage 2)

B1 = 575000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

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