M104679433 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	146.1987	64.4737%	739000	739000	4.2665	1.5198%	150.4652	65.0136%	0.5399%
PrimeNet	2⁷²	9.1358	62.5000%	450000	22000000	9.3765	5.3940%	18.5123	64.5227%	2.0227%
GPU72	2⁷⁶	146.1987	64.4737%	650000	24000000	11.0973	3.9255%	157.2960	65.8683%	1.3946%
Difference	-	-	-	+89000	-23261000	-6.8308	-2.4058%	-6.8308	-0.8547%	-0.8547%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁶

146.1987

64.4737%

739000

4.2665

1.5198%

150.4652

65.0136%

0.5399%

PrimeNet

2⁷²

9.1358

62.5000%

450000

22000000

9.3765

5.3940%

18.5123

64.5227%

2.0227%

GPU72

2⁷⁶

146.1987

64.4737%

650000

24000000

11.0973

3.9255%

157.2960

65.8683%

1.3946%

Difference

+89000

-23261000

-6.8308

-2.4058%

-6.8308

-0.8547%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
104679433	7144991229022485833889497	25	82.563	34127961072460556 2² × 7 × 19 × 47 × 131 × 17573 × 592903	2021-07-02	17573	592903	15,425	0.2824	0.3483

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

104679433

7144991229022485833889497

82.563

34127961072460556
2² × 7 × 19 × 47 × 131 × 17573 × 592903

2021-07-02

17573

592903

15,425

0.2824

0.3483

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-07-02T19:10:56	Jwb52z	Clay	739000	739000			7144991229022485833889497	25	82.563	4.266	833.6	8.533	1.520%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-24T00:31:00	Richard	UNKNOWN	2⁶³	2⁶⁴		-	-	0.019	-	-
2010-08-28T14:20:00	sasaki3	tuke3	2⁶⁴	2⁶⁵		-	-	0.036	-	-
2012-05-07T07:48:00	OS1	L7	2⁶⁵	2⁶⁶		-	-	0.071	-	-
2013-09-02T05:47:00	Cow_tipping	Manual testing	2⁶⁶	2⁶⁷		-	-	0.143	-	-
2013-09-03T06:53:00	Preben S	Manual testing	2⁶⁷	2⁶⁸		-	-	0.286	-	-
2014-05-26T07:34:00	g0b	Manual testing	2⁶⁸	2⁶⁹		-	-	0.571	-	-
2014-06-11T01:34:00	driveByUpgrades	Build_4	2⁶⁹	2⁷⁰		-	-	1.142	-	-
2014-06-16T21:50:00	PascalBieri	Manual testing	2⁷⁰	2⁷¹		-	-	2.284	-	-
2014-12-27T00:50:00	shauge	Manual testing	2⁷¹	2⁷²		-	-	4.569	-	-
2020-03-01T14:03:40	tsc	Manual testing	2⁷²	2⁷³		-	-	9.138	-	-
2020-04-02T16:25:13	SRBase	Manual testing	2⁷³	2⁷⁴		-	-	18.28	-	-
2021-03-25T20:41:06	dcheuk	Manual testing	2⁷⁴	2⁷⁵		-	-	36.55	-	-
2021-03-28T21:17:58	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	73.10	-	-

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 = 739000 (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