M64148143 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	59.6411	64.8649%	570000	570000	2.0048	1.5894%	61.6459	65.4233%	0.5584%
PrimeNet	2⁷⁰	3.7250	62.8571%	280000	12000000	3.2307	5.2151%	6.9557	64.7942%	1.9370%
GPU72	2⁷⁴	59.6411	64.8649%	400000	14000000	4.0131	3.7920%	63.6542	66.1972%	1.3323%
Difference	-	-	-	+170000	-13430000	-2.0082	-2.2026%	-2.0082	-0.7739%	-0.7739%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

59.6411

64.8649%

570000

2.0048

1.5894%

61.6459

65.4233%

0.5584%

PrimeNet

2⁷⁰

3.7250

62.8571%

280000

12000000

3.2307

5.2151%

6.9557

64.7942%

1.9370%

GPU72

2⁷⁴

59.6411

64.8649%

400000

14000000

4.0131

3.7920%

63.6542

66.1972%

1.3323%

Difference

+170000

-13430000

-2.0082

-2.2026%

-2.0082

-0.7739%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
64148143	29021320685309832966743	23	74.620	226205462294597 107 × 383 × 11801 × 467737	2013-06-13	11801	467737	112.53	0.1289	0.1674

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

64148143

29021320685309832966743

74.620

226205462294597
107 × 383 × 11801 × 467737

2013-06-13

11801

467737

112.53

0.1289

0.1674

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2013-06-13T22:30:00	Jwb52z	Clay	570000	570000			29021320685309832966743	23	74.620	2.005	311.2	4.010	1.589%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2013-06-13T22:30:00

Jwb52z

Clay

570000

29021320685309832966743

74.620

2.005

311.2

4.010

1.589%

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		-	-	2.33819e-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	-	-
2022-03-30T08:07:57	LordJulius	Manual testing	2⁶⁰	2⁶³		-	-	0.022	-	-
2009-03-07T05:14:00	glennpat	Linux-3	2⁶³	2⁶⁴		-	-	0.031	-	-
2009-03-07T18:02:00	Sturle Sunde	gofy.ifi	2⁶⁴	2⁶⁵		-	-	0.058	-	-
2009-03-11T16:56:00	GunnarLu	Grinbergs	2⁶⁵	2⁶⁶		-	-	0.116	-	-
2009-03-14T13:36:00	GunnarLu	Grinbergs	2⁶⁶	2⁶⁷		-	-	0.233	-	-
2009-03-23T15:56:00	Thomas Leplus	charon	2⁶⁷	2⁶⁸		-	-	0.466	-	-
2009-09-20T01:02:00	Team_Elteor_Borislavj~Bronco	ATI1	2⁶⁸	2⁶⁹		-	-	0.932	-	-
2012-01-23T05:34:00	america64	Manual testing	2⁶⁹	2⁷⁰		-	-	1.864	-	-
2013-04-23T22:41:00	Jerry Hallett	Manual testing	2⁷⁰	2⁷¹		-	-	3.728	-	-
2013-04-23T22:41:00	Jerry Hallett	Manual testing	2⁷¹	2⁷²		-	-	7.455	-	-
2013-04-23T22:41:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	14.91	-	-
2013-04-23T22:41:00	Jerry Hallett	Manual testing	2⁷³	2⁷⁴		-	-	29.82	-	-

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 (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